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Author: Dariusz Chruscinski Publisher: Springer Science & Business Media ISBN: 0817681760 Category : Mathematics Languages : en Pages : 337
Book Description
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: Dariusz Chruscinski Publisher: Springer Science & Business Media ISBN: 0817681760 Category : Mathematics Languages : en Pages : 337
Book Description
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: Frank Wilczek Publisher: World Scientific ISBN: 9789971506216 Category : Science Languages : en Pages : 530
Book Description
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.
Author: Arno Bohm Publisher: Springer Science & Business Media ISBN: 3662103338 Category : Science Languages : en Pages : 447
Book Description
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: Giampiero Esposito Publisher: Cambridge University Press ISBN: 1139450549 Category : Science Languages : en Pages : 612
Book Description
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.
Author: Robert Geroch Publisher: Minkowski Institute Press ISBN: 1927763045 Category : Science Languages : en Pages : 137
Book Description
Geroch's lecture notes on geometrical quantum mechanics are divided into three parts - Differential Geometry, Mechanics, and Quantum Mechanics. The necessary geometrical ideas are presented in the first part of the book and are applied to mechanics and quantum mechanics in the second and third part. What also makes this book a valuable contribution to the existing textbooks on quantum physics is Geroch's unique approach to teaching theoretical and mathematical physics - the physical concepts and the mathematics, which describes them, are masterfully intertwined in such a way that both reinforce each other to facilitate the understanding of even the most abstract and subtle issues.
Author: Qian Niu Publisher: World Scientific ISBN: 9813225726 Category : Science Languages : en Pages : 424
Book Description
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: Dariusz Chruscinski
Author: Dariusz Chruscinski
Author: D. Chrus'cin'ski
Author: Frank Wilczek
Author: Arno Bohm
Author: Giampiero Esposito
Author: Robert Geroch
Author: Qian Niu
Author: Arno Bohm
Author: Ali Mostafazadeh
Author: Alfred Shapere