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The Geometric Phase in Quantum Systems

Author : Arno Bohm
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 15,42 MB
Release : 2013-11-11
Category : Science
ISBN : 3662103338

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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).

Geometric Phases in Classical and Quantum Mechanics

Author : Dariusz Chruscinski
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 46,17 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 0817681760

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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 Physics

Author : Alfred Shapere
Publisher : World Scientific
Page : 527 pages
File Size : 14,57 MB
Release : 1989-07-01
Category : Mathematics
ISBN : 981450758X

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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 Schrödinger'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.

Geometric Phases in Physics

Author : Frank Wilczek
Publisher : World Scientific
Page : 530 pages
File Size : 30,31 MB
Release : 1989
Category : Science
ISBN : 9789971506216

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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.

Physical Effects of Geometric Phases

Author : Qian Niu
Publisher : World Scientific
Page : 424 pages
File Size : 16,34 MB
Release : 2017-08-28
Category : Science
ISBN : 9813225726

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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.

Geometric Formulation of Classical and Quantum Mechanics

Author : G. Giachetta
Publisher : World Scientific
Page : 405 pages
File Size : 18,34 MB
Release : 2011
Category : Science
ISBN : 9814313726

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The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.

Nonlinear Adiabatic Evolution of Quantum Systems

Author : Jie Liu
Publisher : Springer
Page : 197 pages
File Size : 37,75 MB
Release : 2018-09-03
Category : Science
ISBN : 9811326436

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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.

Compendium of Quantum Physics

Author : Daniel Greenberger
Publisher : Springer Science & Business Media
Page : 901 pages
File Size : 38,64 MB
Release : 2009-07-25
Category : Science
ISBN : 3540706267

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With contributions by leading quantum physicists, philosophers and historians, this comprehensive A-to-Z of quantum physics provides a lucid understanding of key concepts of quantum theory and experiment. It covers technical and interpretational aspects alike, and includes both traditional and new concepts, making it an indispensable resource for concise, up-to-date information about the many facets of quantum physics.