Geometric Phases in Classical and Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0817681760
Total Pages : 337 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometric Phases in Classical and Quantum Mechanics by : Dariusz Chruscinski

Download or read book Geometric Phases in Classical and Quantum Mechanics written by Dariusz Chruscinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Geometric Phases in Classical and Quantum Mechanics

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Publisher :
ISBN 13 : 9783764342821
Total Pages : pages
Book Rating : 4.3/5 (428 download)

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Book Synopsis Geometric Phases in Classical and Quantum Mechanics by : D. Chrus'cin'ski

Download or read book Geometric Phases in Classical and Quantum Mechanics written by D. Chrus'cin'ski and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Phases in Physics

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Publisher : World Scientific
ISBN 13 : 9789971506216
Total Pages : 530 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis Geometric Phases in Physics by : Frank Wilczek

Download or read book Geometric Phases in Physics written by Frank Wilczek and published by World Scientific. This book was released on 1989 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as ?Berry's phase?) in addition to the usual dynamical phase derived from Schr”dinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject.

The Geometric Phase in Quantum Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3662103338
Total Pages : 447 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Geometric Phase in Quantum Systems by : Arno Bohm

Download or read book The Geometric Phase in Quantum Systems written by Arno Bohm and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).

Physical Effects of Geometric Phases

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Publisher : World Scientific
ISBN 13 : 9813225726
Total Pages : 424 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Physical Effects of Geometric Phases by : Qian Niu

Download or read book Physical Effects of Geometric Phases written by Qian Niu and published by World Scientific. This book was released on 2017-08-28 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berry phase has been widely used in condensed matter physics in the past two decades. This volume is a timely collection of essential papers in this important field, which is highlighted by 2016 Nobel Prize in physics and recent exciting developments in topological matters. Each chapter has an introduction, which helps readers to understand the reprints that follow.

From Classical to Quantum Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 1139450549
Total Pages : 612 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis From Classical to Quantum Mechanics by : Giampiero Esposito

Download or read book From Classical to Quantum Mechanics written by Giampiero Esposito and published by Cambridge University Press. This book was released on 2004-03-11 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2004 textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics. Part I covers the basic material which is necessary to understand the transition from classical to wave mechanics. Topics include classical dynamics, with emphasis on canonical transformations and the Hamilton-Jacobi equation, the Cauchy problem for the wave equation, Helmholtz equation and eikonal approximation, introduction to spin, perturbation theory and scattering theory. The Weyl quantization is presented in Part II, along with the postulates of quantum mechanics. Part III is devoted to topics such as statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This book is intended for use as a textbook for beginning graduate and advanced undergraduate courses. It is self-contained and includes problems to aid the reader's understanding.

Geometry from Dynamics, Classical and Quantum

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Publisher : Springer
ISBN 13 : 9401792208
Total Pages : 719 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Geometry from Dynamics, Classical and Quantum by : José F. Cariñena

Download or read book Geometry from Dynamics, Classical and Quantum written by José F. Cariñena and published by Springer. This book was released on 2014-09-23 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and super integrability, are deeply related to the previous development and will be covered in the last part of the book. The mathematical framework used to present the previous program is kept to an elementary level throughout the text, indicating where more advanced notions will be needed to proceed further. A family of relevant examples is discussed at length and the necessary ideas from geometry are elaborated along the text. However no effort is made to present an ''all-inclusive'' introduction to differential geometry as many other books already exist on the market doing exactly that. However, the development of the previous program, considered as the posing and solution of a generalized inverse problem for geometry, leads to new ways of thinking and relating some of the most conspicuous geometrical structures appearing in Mathematical and Theoretical Physics.

The Geometric Phase in Quantum Systems

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Publisher :
ISBN 13 : 9783662103340
Total Pages : 464 pages
Book Rating : 4.1/5 (33 download)

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Book Synopsis The Geometric Phase in Quantum Systems by : Arno Bohm

Download or read book The Geometric Phase in Quantum Systems written by Arno Bohm and published by . This book was released on 2014-01-15 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Invariants, Adiabatic Approximation and the Geometric Phase

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Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.6/5 (14 download)

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Book Synopsis Dynamical Invariants, Adiabatic Approximation and the Geometric Phase by : Ali Mostafazadeh

Download or read book Dynamical Invariants, Adiabatic Approximation and the Geometric Phase written by Ali Mostafazadeh and published by . This book was released on 2001 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical Invariants, Adiabatic Approximation & the Geometric Phase

Chaos in Classical and Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461209838
Total Pages : 445 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos in Classical and Quantum Mechanics by : Martin C. Gutzwiller

Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Quantum Paradoxes

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Publisher : John Wiley & Sons
ISBN 13 : 3527619127
Total Pages : 299 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Quantum Paradoxes by : Yakir Aharonov

Download or read book Quantum Paradoxes written by Yakir Aharonov and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Guide through the Mysteries of Quantum Physics! Yakir Aharonov is one of the pioneers in measuring theory, the nature of quantum correlations, superselection rules, and geometric phases and has been awarded numerous scientific honors. The author has contributed monumental concepts to theoretical physics, especially the Aharonov-Bohm effect and the Aharonov-Casher effect. Together with Daniel Rohrlich, Israel, he has written a pioneering work on the remaining mysteries of quantum mechanics. From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, the text combines mathematical rigor with penetrating and concise language. More than 200 exercises introduce readers to the concepts and implications of quantum mechanics that have arisen from the experimental results of the recent two decades. With students as well as researchers in mind, the authors give an insight into that part of the field, which led Feynman to declare that "nobody understands quantum mechanics". * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/

Geometric Phases in Physics

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Publisher :
ISBN 13 :
Total Pages : 509 pages
Book Rating : 4.:/5 (636 download)

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Book Synopsis Geometric Phases in Physics by : Alfred Shapere

Download or read book Geometric Phases in Physics written by Alfred Shapere and published by . This book was released on 1988 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Theories and Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 9400930550
Total Pages : 196 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Quantum Theories and Geometry by : M. Cahen

Download or read book Quantum Theories and Geometry written by M. Cahen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the text of most of the lectures which were de livered at the Meeting Quantum Theories and Geometry which was held at the Fondation Les Treilles from March 23 to March 27, 1987. The general aim of this meeting was to bring together mathemati cians and physicists who have worked in this growing field of contact between the two disciplines, namely this region where geometry and physics interact creatively in both directions. It 1S the strong belief of the organizers that these written con tributions will be a useful document for research people workin~ 1n geometry or physics. Three lectures were devoted to the deformation approach to quantum mechanics which involves a modification of both the associative and the Lie structure of the algebra of functions on classical phase space. A. Lichnerowicz shows how one can view classical and quantum statistical mechanics in terms of a deformation with a parameter inversely propor tional to temperature. S. Gutt reviews the physical background of star products and indicates their applications in Lie groups representa tion theory and in harmonic analysis. D. Arnal gives a rigorous theory Vll viii PREFACI of the star exponential in the case of the Heisenberg group and shows how this can be extended to arbitrary nilpotent groups.

Encyclopedia of Quantum Mechanics: Volume 6 (Current Progress)

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Publisher :
ISBN 13 : 9781632381613
Total Pages : 0 pages
Book Rating : 4.3/5 (816 download)

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Book Synopsis Encyclopedia of Quantum Mechanics: Volume 6 (Current Progress) by : Ian Plummer

Download or read book Encyclopedia of Quantum Mechanics: Volume 6 (Current Progress) written by Ian Plummer and published by . This book was released on 2015-03-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of quantum mechanics has given physics a completely new direction from that of classical physics in the early days. In fact, there is a constant development in this subject of a very fundamental nature, such as implications for the foundations of physics, physics of entanglement, geometric phases, gravity and cosmology and elementary particles as well. This book will be an important resource for researchers with respect to present topics of research in this developing area. The book covers two important sections: Perturbation Theory and Foundations of Quantum Mechanics.

Encyclopedia of Quantum Mechanics: Volume 7 (Developments)

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Publisher :
ISBN 13 : 9781632381620
Total Pages : 0 pages
Book Rating : 4.3/5 (816 download)

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Book Synopsis Encyclopedia of Quantum Mechanics: Volume 7 (Developments) by : Ian Plummer

Download or read book Encyclopedia of Quantum Mechanics: Volume 7 (Developments) written by Ian Plummer and published by . This book was released on 2015-03-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of quantum mechanics has given physics a completely new direction from that of classical physics in the early days. In fact, there is a constant development in this subject of a very fundamental nature, such as implications for the foundations of physics, physics of entanglement, geometric phases, gravity and cosmology and elementary particles as well. This book will be an important resource for researchers with respect to present topics of research in this developing area. The book has two broad sections: Quantization and Entanglement, and Quantum Information and Related Topics.

Quantum Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 1316157075
Total Pages : pages
Book Rating : 4.3/5 (161 download)

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Book Synopsis Quantum Mechanics by : Eugene D. Commins

Download or read book Quantum Mechanics written by Eugene D. Commins and published by Cambridge University Press. This book was released on 2014-09-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Eugene D. Commins takes an experimentalist's approach to quantum mechanics, preferring to use concrete physical explanations over formal, abstract descriptions to address the needs and interests of a diverse group of students. Keeping physics at the foreground and explaining difficult concepts in straightforward language, Commins examines the many modern developments in quantum physics, including Bell's inequalities, locality, photon polarization correlations, the stability of matter, Casimir forces, geometric phases, Aharonov–Bohm and Aharonov–Casher effects, magnetic monopoles, neutrino oscillations, neutron interferometry, the Higgs mechanism, and the electroweak standard model. The text is self-contained, covering the necessary background on atomic and molecular structure in addition to the traditional topics. Developed from the author's well-regarded course notes for his popular first-year graduate course at the University of California, Berkeley, instruction is supported by over 160 challenging problems to illustrate concepts and provide students with ample opportunity to test their knowledge and understanding.

Fundamental Principles of Classical Mechanics

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814551503
Total Pages : 592 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Fundamental Principles of Classical Mechanics by : Kai S Lam

Download or read book Fundamental Principles of Classical Mechanics written by Kai S Lam and published by World Scientific Publishing Company. This book was released on 2014-07-07 with total page 592 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).