Non-relativistic Quantum Theory: Dynamics, Symmetry And Geometry

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813107480
Total Pages : 458 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Non-relativistic Quantum Theory: Dynamics, Symmetry And Geometry by : Kai S Lam

Download or read book Non-relativistic Quantum Theory: Dynamics, Symmetry And Geometry written by Kai S Lam and published by World Scientific Publishing Company. This book was released on 2009-08-24 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern-Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.

Non-relativistic Quantum Theory

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Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Non-relativistic Quantum Theory by : Kai Shue Lam

Download or read book Non-relativistic Quantum Theory written by Kai Shue Lam and published by World Scientific Publishing Company. This book was released on 2009 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern-Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.

Quantum Trajectories

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Publisher : CRC Press
ISBN 13 : 1439825629
Total Pages : 412 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Quantum Trajectories by : Pratim Kumar Chattaraj

Download or read book Quantum Trajectories written by Pratim Kumar Chattaraj and published by CRC Press. This book was released on 2016-04-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of quantum mechanics to many-particle systems has been an active area of research in recent years as researchers have looked for ways to tackle difficult problems in this area. The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area o

Fundamental Principles Of Classical Mechanics: A Geometrical Perspective

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814551503
Total Pages : 591 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Fundamental Principles Of Classical Mechanics: A Geometrical Perspective by : Kai S Lam

Download or read book Fundamental Principles Of Classical Mechanics: A Geometrical Perspective written by Kai S Lam and published by World Scientific Publishing Company. This book was released on 2014-07-07 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1396 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes)

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Publisher : World Scientific
ISBN 13 : 9811237093
Total Pages : 1656 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) by : Gerhard Grensing

Download or read book Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) written by Gerhard Grensing and published by World Scientific. This book was released on 2021-07-15 with total page 1656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.

Physics for Mathematicians

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Publisher :
ISBN 13 : 9780914098324
Total Pages : 733 pages
Book Rating : 4.0/5 (983 download)

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Book Synopsis Physics for Mathematicians by : Michael Spivak

Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Field Theory for the Gifted Amateur

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Publisher : Oxford University Press
ISBN 13 : 0199699321
Total Pages : 505 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Quantum Field Theory for the Gifted Amateur by : Tom Lancaster

Download or read book Quantum Field Theory for the Gifted Amateur written by Tom Lancaster and published by Oxford University Press. This book was released on 2014-04 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory provides the theoretical backbone to most modern physics. This book is designed to bring quantum field theory to a wider audience of physicists. It is packed with worked examples, witty diagrams, and applications intended to introduce a new audience to this revolutionary theory.

Energy Research Abstracts

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Publisher :
ISBN 13 :
Total Pages : 782 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1995 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Mechanics

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Publisher : Springer Nature
ISBN 13 : 3031314484
Total Pages : 132 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Stochastic Mechanics by : Folkert Kuipers

Download or read book Stochastic Mechanics written by Folkert Kuipers and published by Springer Nature. This book was released on 2023-05-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic mechanics is a theory that holds great promise in resolving the mathematical and interpretational issues encountered in the canonical and path integral formulations of quantum theories. It provides an equivalent formulation of quantum theories, but substantiates it with a mathematically rigorous stochastic interpretation by means of a stochastic quantization prescription. The book builds on recent developments in this theory, and shows that quantum mechanics can be unified with the theory of Brownian motion in a single mathematical framework. Moreover, it discusses the extension of the theory to curved spacetime using second order geometry, and the induced Itô deformations of the spacetime symmetries. The book is self-contained and provides an extensive review of stochastic mechanics of the single spinless particle. The book builds up the theory on a step by step basis. It starts, in chapter 2, with a review of the classical particle subjected to scalar and vector potentials. In chapter 3, the theory is extended to the study of a Brownian motion in any potential, by the introduction of a Gaussian noise. In chapter 4, the Gaussian noise is complexified. The result is a complex diffusion theory that contains both Brownian motion and quantum mechanics as a special limit. In chapters 5, the theory is extended to relativistic diffusion theories. In chapter 6, the theory is further generalized to the context of pseudo-Riemannian geometry. Finally, in chapter 7, some interpretational aspects of the stochastic theory are discussed in more detail. The appendices concisely review relevant notions from probability theory, stochastic processes, stochastic calculus, stochastic differential geometry and stochastic variational calculus. The book is aimed at graduate students and researchers in theoretical physics and applied mathematics with an interest in the foundations of quantum theory and Brownian motion. The book can be used as reference material for courses on and further research in stochastic mechanics, stochastic quantization, diffusion theories on curved spacetimes and quantum gravity.

Differential Geometry And Physics - Proceedings Of The 23th International Conference Of Differential Geometric Methods In Theoretical Physics

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Publisher : World Scientific
ISBN 13 : 9814476587
Total Pages : 542 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Differential Geometry And Physics - Proceedings Of The 23th International Conference Of Differential Geometric Methods In Theoretical Physics by : Weiping Zhang

Download or read book Differential Geometry And Physics - Proceedings Of The 23th International Conference Of Differential Geometric Methods In Theoretical Physics written by Weiping Zhang and published by World Scientific. This book was released on 2006-12-11 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1028 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1970-10 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contemporary Research in the Foundations and Philosophy of Quantum Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9401025347
Total Pages : 405 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Contemporary Research in the Foundations and Philosophy of Quantum Theory by : C.A. Hooker

Download or read book Contemporary Research in the Foundations and Philosophy of Quantum Theory written by C.A. Hooker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: To mathematicians, mathematics is a happy game, to scientists a mere tool and to philosophers a Platonic mystery - or so the caricature runs. The caricature reflects the alleged 'cultural gap' between the disciplines a gap for which there too often has been, sadly, sound historical evidence. In many minds the lack of communication between philosophy and the exact disciplines is especially prominent. Yet in the past there was no separation - exact knowledge, covering both scientists and mathemati cians, was known as natural philosophy and the business of providing a critical view of the nature of reality and an accurate mathematical de scription of it constituted a single task from the glorious tradition begun by the early Greek philosophers even up until Newton's day (but I am thinking of Descartes and Leibniz I). The lack of communication between these professional groups has been particularly unfortunate, for the past half century has seen the most ex citing developments in mathematical physics since Newton. These devel opments hinged on the introduction of vast new reaches of mathematics into physics (non-Euclidean geometries, covariant formulations, non commutative algebras, functional analysis and so on) and conversely have challenged mathematicians to develop the appropriate mathematical fields. Equally, these developments have posed profound philosophical problems to do with the rejection of traditional conceptions concerning the nature of physical reality and physical theorising.

An Introduction to Covariant Quantum Mechanics

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Publisher : Springer Nature
ISBN 13 : 3030895890
Total Pages : 831 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis An Introduction to Covariant Quantum Mechanics by : Josef Janyška

Download or read book An Introduction to Covariant Quantum Mechanics written by Josef Janyška and published by Springer Nature. This book was released on 2022-04-06 with total page 831 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book.

Quantum Fields and Quantum Space Time

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Publisher : Springer Science & Business Media
ISBN 13 : 1489918019
Total Pages : 372 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Quantum Fields and Quantum Space Time by : Gerard 't Hooft

Download or read book Quantum Fields and Quantum Space Time written by Gerard 't Hooft and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1996 NATO Advanced Study Institute (ASI) followed the international tradi tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry.

Entropy in Foundations of Quantum Physics

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Publisher : MDPI
ISBN 13 : 3039289519
Total Pages : 266 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Entropy in Foundations of Quantum Physics by : Marcin Pawłowski

Download or read book Entropy in Foundations of Quantum Physics written by Marcin Pawłowski and published by MDPI. This book was released on 2020-12-15 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of outstanding papers on various aspects of entropy at the foundation of quantum physics. The covered topics range from purely foundational issues such as contextuality and Bell and Leggett–Garg inequalities to applications such as quantum key distribution, teleportation, and image encoding. The main ingredient binding them together in this book is that in all of the contained papers, entropy plays a key role either as a mathematical tool or as a link which bridges the gap between different fields of science.

Beyond Einstein

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Publisher : Birkhäuser
ISBN 13 : 1493977083
Total Pages : 500 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Beyond Einstein by : David E. Rowe

Download or read book Beyond Einstein written by David E. Rowe and published by Birkhäuser. This book was released on 2018-06-18 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.