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Author : Stefan Teufel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540407232
Total Pages : 248 pages
Book Rating : 4.4/5 (72 download)
Download or read book Adiabatic Perturbation Theory in Quantum Dynamics written by Stefan Teufel and published by Springer Science & Business Media. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter Dittrich
Publisher : Springer Nature
ISBN 13 : 303036786X
Total Pages : 551 pages
Book Rating : 4.0/5 (33 download)
Download or read book Classical and Quantum Dynamics written by Walter Dittrich and published by Springer Nature. This book was released on 2020-02-06 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals. The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.
Author : Kenneth C. Kulander
Publisher : North Holland
ISBN 13 :
Total Pages : 612 pages
Book Rating : 4.3/5 (58 download)
Download or read book Time-dependent Methods for Quantum Dynamics written by Kenneth C. Kulander and published by North Holland. This book was released on 1991 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles clearly demonstrates that recent developments in time-dependent computational methods for quantum processes have resulted in significant contributions to the understanding of a remarkable broad spectrum of physical and chemical processes. These advances happened for two reasons. First, substantial improvements in the tools we use have occurred over the past decade and second there is a remarkable decrease in timescale over which observations of dynamical processes can be carried out. The papers presented here treat a wide variety of topics, including laser-induced dynamics by intense fields and short pulses, spectroscopy, tunneling, resonances, photodissociation, atomic collisions and gas-surface collisions, chemical reactions, molecular energy transfer, intramolecular relaxation, the influence of phase-space structure on quantum dynamics, nonadiabatic processes in condensed phases, systems in baths, nuclear collisions, fission, and fusion. The methods used in this issue include wave-packet propagation, Fourier transforms, time-dependent mean-field (SCF) methods, time-dependent correlation functions, path integrals, combined quantum/classical methods, hydrodynamic and fluid dynamical analogs, quantum statistical mechanics, perturbation theory, optical potentials and optimal control theory. This collection of time-dependent techniques is supplemented by a collection of 22 programs. Two of these are described in detail in the text. The programs are available in any desirable format and can be ordered by completing the coupon enclosed with the book.
Author : S M Omohundro
Publisher : World Scientific
ISBN 13 : 9814603430
Total Pages : 588 pages
Book Rating : 4.8/5 (146 download)
Download or read book Geometric Perturbation Theory In Physics written by S M Omohundro and published by World Scientific. This book was released on 1986-10-31 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic geometry, to the foundations of broad areas of physics. Throughout the book, intuitive descriptions and diagrams are used to elucidate the mathematical theory. It develops a coordinate-free framework for perturbation theory and uses this to show how underlying symplectic structures arise from physical asymptotes. It describes a remarkable parity between classical mechanics which arises asymptotically from quantum mechanics and classical thermodynamics which arises asymptotically from statistical mechanics. Included here is a section with one hundred unanswered questions for further research.
Author : David J. Griffiths
Publisher : Cambridge University Press
ISBN 13 : 1108103146
Total Pages : 512 pages
Book Rating : 4.1/5 (81 download)
Download or read book Introduction to Quantum Mechanics written by David J. Griffiths and published by Cambridge University Press. This book was released on 2019-11-20 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.
Author : Francisco M. Fernandez
Publisher : CRC Press
ISBN 13 : 1420039644
Total Pages : 289 pages
Book Rating : 4.4/5 (2 download)
Download or read book Introduction to Perturbation Theory in Quantum Mechanics written by Francisco M. Fernandez and published by CRC Press. This book was released on 2000-09-19 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation
Author : STEPHEN J. GUSTAFSON
Publisher :
ISBN 13 : 3030595625
Total Pages : pages
Book Rating : 4.0/5 (35 download)
Download or read book MATHEMATICAL CONCEPTS OF QUANTUM MECHANICS written by STEPHEN J. GUSTAFSON and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.
Author : Leticia González
Publisher : John Wiley & Sons
ISBN 13 : 1119417759
Total Pages : 52 pages
Book Rating : 4.1/5 (194 download)
Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2021-02-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.
Author : Leticia González
Publisher : John Wiley & Sons
ISBN 13 : 1119417724
Total Pages : 688 pages
Book Rating : 4.1/5 (194 download)
Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2020-11-10 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.
Author : Jie Liu
Publisher : Springer
ISBN 13 : 9811326436
Total Pages : 197 pages
Book Rating : 4.8/5 (113 download)
Download or read book Nonlinear Adiabatic Evolution of Quantum Systems written by Jie Liu and published by Springer. This book was released on 2018-09-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schrödinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
Author : Hinne Hettema
Publisher : World Scientific
ISBN 13 : 9789812795762
Total Pages : 522 pages
Book Rating : 4.7/5 (957 download)
Download or read book Quantum Chemistry written by Hinne Hettema and published by World Scientific. This book was released on 2000 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical physics is presently a very active field, where theoretical computation and accurate experimentation have led to a host of exciting new results. Among these are the possibility of state-to-state reactive scattering, the insights in non-adiabatic chemistry, and, from the computational perspective, the use of explicitly correlated functions in quantum chemistry. Many of these present-day developments use ideas, derivations and results that were obtained in the very early days of quantum theory, in the 1920s and 1930s. Much of this material is hard to study for readers not familiar with German. This volume presents English translations of some of the most important papers. The choice of material is made with the relevance to present-day researchers in mind. Included are seminal papers by M. Born and J.R. Oppenheimer, J. von Neurmann and E. Wigner, E.A. Hylleraas, F. London, F. Hund, H.A. Kramers, R. de L. Kronig and F. Huckel, among others.
Author : David Park
Publisher : Springer Science & Business Media
ISBN 13 : 3642749224
Total Pages : 343 pages
Book Rating : 4.6/5 (427 download)
Download or read book Classical Dynamics and Its Quantum Analogues written by David Park and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The short Heroic Age of physics that started in 1925 was one of the rare occasions when a deep consideration of the question: What does physics really say? was necessary in carrying out numerical calculations. In many parts of microphysics the calculations have now become relatively straightforward if not easy, but most physicists seem to agree that some questions of principle remain to be resolved, even if they do not think it is very important to do so. This situation has affected the way people think and write about quantum mechanics, a gingerly approach to fundamentals and a tendency to emphasize what fifty years ago was new in the new theory at the expense of continuity with what came before it. Nowadays those who look into the subject are more likely to be struck by unexpected similarities between quantum and classical mechanics than by dramatic contrasts they had been led to expect. It is often said that the hardest part of understanding quantum mechanics is to understand that there is nothing to understand; all the same, to think quantum mechanically it helps to have firm mental connections with classical physics and to know exactly what these connections do and do not imply. This book originated more than a decade ago as informal lecture notes [OP, prepared for use in a course taught from time to time to advanced undergraduates at Williams College.
Author : Gunter Scharf
Publisher : Courier Corporation
ISBN 13 : 0486492737
Total Pages : 434 pages
Book Rating : 4.4/5 (864 download)
Download or read book Finite Quantum Electrodynamics written by Gunter Scharf and published by Courier Corporation. This book was released on 2014-04-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this classic graduate-level physics text covers relativistic quantum mechanics, field quantization, causal perturbation theory, properties of the S-matrix, and considerations of other electromagnetic couplings. 2014 edition.
Author : Daniel Grieser
Publisher : Springer Science & Business Media
ISBN 13 : 3034804660
Total Pages : 147 pages
Book Rating : 4.0/5 (348 download)
Download or read book Microlocal Methods in Mathematical Physics and Global Analysis written by Daniel Grieser and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.
Author : Gustavo A. Arteca
Publisher : Springer Science & Business Media
ISBN 13 : 3642934692
Total Pages : 655 pages
Book Rating : 4.6/5 (429 download)
Download or read book Large Order Perturbation Theory and Summation Methods in Quantum Mechanics written by Gustavo A. Arteca and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.
Author : Walter Dittrich
Publisher : Springer Science & Business Media
ISBN 13 : 3642564305
Total Pages : 382 pages
Book Rating : 4.6/5 (425 download)
Download or read book Classical and Quantum Dynamics written by Walter Dittrich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here a detailed treatment many worked examples. This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces.
Author : Leslie E Ballentine
Publisher : World Scientific Publishing Company
ISBN 13 : 9814578606
Total Pages : 739 pages
Book Rating : 4.8/5 (145 download)
Download or read book Quantum Mechanics: A Modern Development (2nd Edition) written by Leslie E Ballentine and published by World Scientific Publishing Company. This book was released on 2014-08-28 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.
