Bohmian Mechanics Open Quantum Systems And Continuous Measurements

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Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

Author : Antonio B. Nassar
Publisher : Springer
ISBN 13 : 3319536532
Total Pages : 241 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Bohmian Mechanics, Open Quantum Systems and Continuous Measurements by : Antonio B. Nassar

Download or read book Bohmian Mechanics, Open Quantum Systems and Continuous Measurements written by Antonio B. Nassar and published by Springer. This book was released on 2017-03-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.

Mathematics Of Open Quantum Systems, The: Dissipative And Non-unitary Representations And Quantum Measurements

Author : Konstantin A Makarov
Publisher : World Scientific
ISBN 13 : 9811241244
Total Pages : 300 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics Of Open Quantum Systems, The: Dissipative And Non-unitary Representations And Quantum Measurements by : Konstantin A Makarov

Download or read book Mathematics Of Open Quantum Systems, The: Dissipative And Non-unitary Representations And Quantum Measurements written by Konstantin A Makarov and published by World Scientific. This book was released on 2021-12-24 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new developments in the open quantum systems theory with emphasis on applications to the (frequent) measurement theory.In the first part of the book, the uniqueness theorems for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions are discussed. The major theme involves an intrinsic characterization of the simplest symmetric operator solutions to the Heisenberg uncertainty relations, the problem posed by Jørgensen and Muhly, followed by the proof of the uniqueness theorems for the simplest solutions to the restricted Weyl commutation relations. The detailed study of unitary invariants of the corresponding dissipative and symmetric operators opens up a look at the classical Stone-von Neumann uniqueness theorem from a new angle and provides an extended version of the uniqueness result relating various realizations of a differentiation operator on the corresponding metric graphs.The second part of the book is devoted to mathematical problems of the quantum measurements under continuous monitoring. Among the topics discussed are the complementarity of the Quantum Zeno effect and Exponential Decay scenario in frequent quantum measurements, and a rigorous treatment, within continuous monitoring paradigm, of the celebrated 'double-slit experiment' where the renowned exclusive and interference measurement alternatives approach in quantum theory is presented in a way that is accessible for mathematicians. One of the striking applications of the generalized (1-stable) central limit theorem is the mathematical evidence of exponential decay of unstable states of the quantum pendulum under continuous monitoring.

Quantum Foundations

Author : Pedro W. Lamberti
Publisher : MDPI
ISBN 13 : 3038977543
Total Pages : 188 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Quantum Foundations by : Pedro W. Lamberti

Download or read book Quantum Foundations written by Pedro W. Lamberti and published by MDPI. This book was released on 2019-04-02 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its conception 90 years ago, the quantum uncertainty principle introduced by Werner Heisenberg lies behind most important features of quantum physics, and its implications have an impact that goes far beyond the physics community. This book focuses on the quantum uncertainty principle, providing an up-to-date examination of recent developments of its applications in quantum information theory. The book brings together several renowned experts working in the foundations of quantum mechanics and quantum information theory. The authors provide different approaches to the study of uncertainty relations and other fundamental aspects of the quantum formalism. Topics addressed include entanglement and Bell inequalities, the application of entropic information measures to the study of uncertainty inequalities, the characterization of deep learning networks in the context of adiabatic quantum computation, and the study of general properties of the set of quantum states. The content of this book will surely benefit both experienced and new researchers specializing in quantum information theory and the foundations of quantum mechanics.

Quantum Trajectories and Measurements in Continuous Time

Author : Alberto Barchielli
Publisher : Springer
ISBN 13 : 3642012981
Total Pages : 325 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Quantum Trajectories and Measurements in Continuous Time by : Alberto Barchielli

Download or read book Quantum Trajectories and Measurements in Continuous Time written by Alberto Barchielli and published by Springer. This book was released on 2009-07-11 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum trajectory theory is largely employed in theoretical quantum optics and quantum open system theory and is closely related to the conceptual formalism of quantum mechanics (quantum measurement theory). However, even research articles show that not all the features of the theory are well known or completely exploited. We wrote this monograph mainly for researchers in theoretical quantum optics and related ?elds with the aim of giving a self-contained and solid p- sentation of a part of quantum trajectory theory (the diffusive case) together with some signi?cant applications (mainly with purposes of illustration of the theory, but which in part have been recently developed). Another aim of the monograph is to introduce to this subject post-graduate or PhD students. To help them, in the most mathematical and conceptual chapters, summaries are given to ?x ideas. Moreover, as stochastic calculus is usually not in the background of the studies in physics, we added Appendix A to introduce these concepts. The book is written also for ma- ematicians with interests in quantum theories. Quantum trajectory theory is a piece of modern theoretical physics which needs an interplay of various mathematical subjects, such as functional analysis and probability theory (stochastic calculus), and offers to mathematicians a beautiful ?eld for applications, giving suggestions for new mathematical developments.

Emergent Quantum Mechanics

Author : Jan Walleczek
Publisher : MDPI
ISBN 13 : 3038976164
Total Pages : 544 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Emergent Quantum Mechanics by : Jan Walleczek

Download or read book Emergent Quantum Mechanics written by Jan Walleczek and published by MDPI. This book was released on 2019-04-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in "deeper-level" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de Broglie-Bohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeper-level questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and non-classical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.

Quantum Transport in Mesoscopic Systems

Author : David Sánchez
Publisher : MDPI
ISBN 13 : 3039433660
Total Pages : 426 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Quantum Transport in Mesoscopic Systems by : David Sánchez

Download or read book Quantum Transport in Mesoscopic Systems written by David Sánchez and published by MDPI. This book was released on 2021-01-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

Top-Down Design of Disordered Photonic Structures

Author : Sunkyu Yu
Publisher : Springer Nature
ISBN 13 : 9811375275
Total Pages : 88 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Top-Down Design of Disordered Photonic Structures by : Sunkyu Yu

Download or read book Top-Down Design of Disordered Photonic Structures written by Sunkyu Yu and published by Springer Nature. This book was released on 2019-09-03 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces recent advances in the deterministic design of photonic structures, which overcome the current limitation in conventional disordered materials. It develops new concepts for disordered photonics inspired by notions in quantum mechanics, solid-state physics, mathematics and network theory, such as isospectrality, supersymmetry, graph network, small-world, de Broglie-Bohm theory, and parity-time symmetry. The multidisciplinary approach based on the core concepts of isospectrality (Chapter 2) and metadisorder (Chapter 3) offers a new perspective on the design methodology in photonics and in general disordered structures toward top-down designs of future photonic applications: perfect bandgap with strong modal localization, switching of random waves for binary and fuzzy logics, photonic analogy of graph networks, interdimensional signal transport, robust wave functions in disordered structures, and a novel method of energy storage and phase trapping based on Bohmian photonics. This book will provide new design criteria for physicists and engineers in photonics, and inspirations for researchers in other fields.

Bohmian Mechanics and Quantum Theory: An Appraisal

Author : J.T. Cushing
Publisher : Springer Science & Business Media
ISBN 13 : 9401587159
Total Pages : 406 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Bohmian Mechanics and Quantum Theory: An Appraisal by : J.T. Cushing

Download or read book Bohmian Mechanics and Quantum Theory: An Appraisal written by J.T. Cushing and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are often told that quantum phenomena demand radical revisions of our scientific world view and that no physical theory describing well defined objects, such as particles described by their positions, evolving in a well defined way, let alone deterministically, can account for such phenomena. The great majority of physicists continue to subscribe to this view, despite the fact that just such a deterministic theory, accounting for all of the phe nomena of nonrelativistic quantum mechanics, was proposed by David Bohm more than four decades ago and has arguably been around almost since the inception of quantum mechanics itself. Our purpose in asking colleagues to write the essays for this volume has not been to produce a Festschrift in honor of David Bohm (worthy an undertaking as that would have been) or to gather together a collection of papers simply stating uncritically Bohm's views on quantum mechanics. The central theme around which the essays in this volume are arranged is David Bohm's version of quantum mechanics. It has by now become fairly standard practice to refer to his theory as Bohmian mechanics and to the larger conceptual framework within which this is located as the causal quantum theory program. While it is true that one can have reservations about the appropriateness of these specific labels, both do elicit distinc tive images characteristic of the key concepts of these approaches and such terminology does serve effectively to contrast this class of theories with more standard formulations of quantum theory.

New Research in Quantum Physics

Author : Volodymyr Krasnoholovets
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis New Research in Quantum Physics by : Volodymyr Krasnoholovets

Download or read book New Research in Quantum Physics written by Volodymyr Krasnoholovets and published by . This book was released on 2004 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding new volume brings together state of the art developments in quantum physics. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e., quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). Classical Concepts (Millard Baublitz, JR, Boston University); Irreversible Time Flow and Hilbert Space Structure (Pavel Kundrat, Milos V. Lokajicek, Institute of Physics, AVCR, Czech Republic); Time as a Dynamical Variable (Z. Y. Wang, University of Electronic Science and Technology of China and B. Chen, University of Central Florida); Gamow Vectors and Time Asymmetric Quantum Mechanics (M. Gadella, Universidad de Valladolid, Spain, and S. Wickramasekara, St. Olaf College); Nonperturbative Methods in Quantum Mechanics: The Gaussian Functional Approach (J. Casahorran, Universidad de Zaragoza, Spain); Wave Packet Dynamics and Tunneling in External Time Dependent Fields: A Semiclassical Real-Time Approach (Markus Saltzer and Joachim Ankerhold, Albert-Ludwigs-Universitaet Freiburg, Germany); Finite Size Scaling in Quantum Mechanics (Sabre Kais, Purdue University and Pablo Serra, Universidad Nacional de Cordoba, Argentina); Nonlocality in Time of Interaction in Theories with Disparate Energy Scales (Renat Kh. Gainutdinov and Aigul A. Mutygullina, Kazan State University, Russia); Classical and Quantum Mechanics of A

Time in Quantum Mechanics

Author : Gonzalo Muga
Publisher : Springer
ISBN 13 : 3540734732
Total Pages : 455 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Time in Quantum Mechanics by : Gonzalo Muga

Download or read book Time in Quantum Mechanics written by Gonzalo Muga and published by Springer. This book was released on 2007-11-30 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The treatment of time in quantum mechanics is still an important and challenging open question in the foundation of the quantum theory. This multi-authored book, written as an introductory guide for newcomers to the subject, as well as a useful source of information for the expert, covers many of the open questions. The book describes the problems, and the attempts and achievements in defining, formalizing and measuring different time quantities in quantum theory.

Bohmian Mechanics

Author : Detlef Dürr
Publisher : Springer Science & Business Media
ISBN 13 : 354089344X
Total Pages : 395 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Bohmian Mechanics by : Detlef Dürr

Download or read book Bohmian Mechanics written by Detlef Dürr and published by Springer Science & Business Media. This book was released on 2009-04-30 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bohmian Mechanics was formulated in 1952 by David Bohm as a complete theory of quantum phenomena based on a particle picture. It was promoted some decades later by John S. Bell, who, intrigued by the manifestly nonlocal structure of the theory, was led to his famous Bell's inequalities. Experimental tests of the inequalities verified that nature is indeed nonlocal. Bohmian mechanics has since then prospered as the straightforward completion of quantum mechanics. This book provides a systematic introduction to Bohmian mechanics and to the mathematical abstractions of quantum mechanics, which range from the self-adjointness of the Schrödinger operator to scattering theory. It explains how the quantum formalism emerges when Boltzmann's ideas about statistical mechanics are applied to Bohmian mechanics. The book is self-contained, mathematically rigorous and an ideal starting point for a fundamental approach to quantum mechanics. It will appeal to students and newcomers to the field, as well as to established scientists seeking a clear exposition of the theory.

Continuous Quantum Measurements and Path Integrals

Author : M.B Mensky
Publisher : CRC Press
ISBN 13 : 1351458035
Total Pages : 188 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Continuous Quantum Measurements and Path Integrals by : M.B Mensky

Download or read book Continuous Quantum Measurements and Path Integrals written by M.B Mensky and published by CRC Press. This book was released on 2017-10-19 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Quantum Measurement and Control

Author : Howard M. Wiseman
Publisher : Cambridge University Press
ISBN 13 : 1139482912
Total Pages : 477 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Measurement and Control by : Howard M. Wiseman

Download or read book Quantum Measurement and Control written by Howard M. Wiseman and published by Cambridge University Press. This book was released on 2009-11-12 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The control of individual quantum systems promises a new technology for the 21st century - quantum technology. This book is the first comprehensive treatment of modern quantum measurement and measurement-based quantum control, which are vital elements for realizing quantum technology. Readers are introduced to key experiments and technologies through dozens of recent experiments in cavity QED, quantum optics, mesoscopic electronics, and trapped particles several of which are analysed in detail. Nearly 300 exercises help build understanding, and prepare readers for research in these exciting areas. This important book will interest graduate students and researchers in quantum information, quantum metrology, quantum control and related fields. Novel topics covered include adaptive measurement; realistic detector models; mesoscopic current detection; Markovian, state-based and optimal feedback; and applications to quantum information processing.

The Theory of Open Quantum Systems

Author : Heinz-Peter Breuer
Publisher : Oxford University Press, USA
ISBN 13 : 9780198520634
Total Pages : 648 pages
Book Rating : 4.5/5 (26 download)

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Book Synopsis The Theory of Open Quantum Systems by : Heinz-Peter Breuer

Download or read book The Theory of Open Quantum Systems written by Heinz-Peter Breuer and published by Oxford University Press, USA. This book was released on 2002 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the laser cooling of atoms, and the damped Jaynes-Cummings model. The basic features of the non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examples from a unified perspective, e.g. non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented. The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help of numerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.

Open Systems and Measurement in Relativistic Quantum Theory

Author : Heinz-Peter Breuer
Publisher : Springer Science & Business Media
ISBN 13 : 9783540659785
Total Pages : 256 pages
Book Rating : 4.6/5 (597 download)

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Book Synopsis Open Systems and Measurement in Relativistic Quantum Theory by : Heinz-Peter Breuer

Download or read book Open Systems and Measurement in Relativistic Quantum Theory written by Heinz-Peter Breuer and published by Springer Science & Business Media. This book was released on 1999-06-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats modern aspects of open systems, measurement, and decoherence in relativistic quantum theory. It starts with a comprehensive introduction to the problems related to measuring local and nonlocal observables and the constraints imposed by the causality principle. In the articles that follow, the emphasis lies on new theoretical models. Quantum dynamical semigroups and stochastic processes in Hilbert space are introduced, as are dynamical reduction models. Further topics include relativistic generalizations of the continuous spontaneous localization model and of the quantum state diffusion model and decoherence and the dynamical selection of preferred basis sets in the framework of continuous measurement theory and of the decoherent histories approach. Mathematical aspects of quantum measurement theory and dynamical entropies are also studied from the viewpoint of the operational approach to quantum mechanics.

Continuous Quantum Measurements and Path Integrals

Author : M.B Mensky
Publisher : CRC Press
ISBN 13 : 9780750302289
Total Pages : 212 pages
Book Rating : 4.3/5 (22 download)

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Book Synopsis Continuous Quantum Measurements and Path Integrals by : M.B Mensky

Download or read book Continuous Quantum Measurements and Path Integrals written by M.B Mensky and published by CRC Press. This book was released on 1993-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Quantum Theory

Author : Charis Anastopoulos
Publisher : Cambridge University Press
ISBN 13 : 1009008404
Total Pages : 684 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Quantum Theory by : Charis Anastopoulos

Download or read book Quantum Theory written by Charis Anastopoulos and published by Cambridge University Press. This book was released on 2023-08-31 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideal text for a two-semester graduate course on quantum mechanics. Fresh, comprehensive, and clear, it strikes the optimal balance between covering traditional material and exploring contemporary topics. Focusing on the probabilistic structure of quantum mechanics and the central role of symmetries to unify principles, this textbook guides readers through the logical development of the theory. Students will also learn about the more exciting and controversial aspects of quantum theory, with discussions on past interpretations and the current debates on cutting-edge concepts such as quantum information and entanglement, open quantum systems, and quantum measurement theory. The book has two types of content: Type A material is more elementary and is fully self-contained, functioning like a separate book within the book, while Type B content is at the level of a graduate course. Requiring minimal physics background, this textbook is appropriate for mathematics and engineering students, in addition to physicists. Introducing cutting-edge topics in the field, the book features about 150 concept-checking questions, 300 homework problems and a solutions manual.