Geometric Phases In Physics
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Author | : Alfred Shapere |
Publisher | : World Scientific |
Total Pages | : 527 |
Release | : 1989-07-01 |
Genre | : Mathematics |
ISBN | : 981450758X |
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.
Author | : Frank Wilczek |
Publisher | : World Scientific |
Total Pages | : 530 |
Release | : 1989 |
Genre | : Science |
ISBN | : 9789971506216 |
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 Schrdinger'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.
Author | : Dariusz Chruscinski |
Publisher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817681760 |
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.
Author | : Arno Bohm |
Publisher | : Springer Science & Business Media |
Total Pages | : 447 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 3662103338 |
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).
Author | : Qian Niu |
Publisher | : World Scientific |
Total Pages | : 424 |
Release | : 2017-08-28 |
Genre | : Science |
ISBN | : 9813225726 |
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.
Author | : Alfred Shapere |
Publisher | : |
Total Pages | : 509 |
Release | : 1988 |
Genre | : Holonomy groups |
ISBN | : |
Author | : David Vanderbilt |
Publisher | : Cambridge University Press |
Total Pages | : 395 |
Release | : 2018-11 |
Genre | : Science |
ISBN | : 110715765X |
An introduction to the role of Berry phases in our modern understanding of the physics of electrons in solids.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : Geometric quantum phases |
ISBN | : 9781788023818 |
Author | : Jerrold E. Marsden |
Publisher | : Cambridge University Press |
Total Pages | : 272 |
Release | : 1992-04-30 |
Genre | : Mathematics |
ISBN | : 9780521428446 |
Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.
Author | : Helmut Eschrig |
Publisher | : Springer |
Total Pages | : 397 |
Release | : 2011-01-26 |
Genre | : Science |
ISBN | : 3642147003 |
A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.