Classical And Quantum Dynamics Of Constrained Hamiltonian Systems PDF Download
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Author | : Heinz J. Rothe |
Publisher | : World Scientific |
Total Pages | : 317 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9814299650 |
Download Classical and Quantum Dynamics of Constrained Hamiltonian Systems Book in PDF, ePub and Kindle
This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. The book is comprehensive and well-illustrated with examples, enables graduate students to follow the literature on this subject without much problems, and to perform research in this field.
Author | : Walter Dittrich |
Publisher | : Springer Science & Business Media |
Total Pages | : 333 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642979211 |
Download Classical and Quantum Dynamics Book in PDF, ePub and Kindle
In the past 10 to 15 years, the quantum leap in understanding of nonlinear dynamics has radically changed the frame of reference of physicists contemplating such systems. This book treats classical and quantum mechanics using an approach as introduced by nonlinear Hamiltonian dynamics and path integral methods. It is written for graduate students who want to become familiar with the more advancedcomputational strategies in classical and quantum dynamics. Therefore, worked examples comprise a large part of the text. While the first half of the book lays the groundwork for a standard course, the second half, with its detailed treatment of the time-dependent oscillator, classical and quantum Chern-Simons mechanics, the Maslov anomaly and the Berry phase, willacquaint the reader with modern topological methods that have not as yet found their way into the textbook literature.
Author | : Heinz J. Rothe |
Publisher | : World Scientific |
Total Pages | : 317 |
Release | : 2010 |
Genre | : Science |
ISBN | : 9814299642 |
Download Classical and Quantum Dynamics of Constrained Hamiltonian Systems Book in PDF, ePub and Kindle
This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field?antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. All topics are well illustrated with examples emphasizing points of central interest. The book should enable graduate students to follow the literature on this subject without much problems, and to perform research in this field.
Author | : Giulio Casati |
Publisher | : |
Total Pages | : |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Stochastic Behavior in Classical and Quantum Hamiltonian Systems Book in PDF, ePub and Kindle
Author | : Alfredo M. Ozorio de Almeida |
Publisher | : Cambridge University Press |
Total Pages | : 262 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 9780521386708 |
Download Hamiltonian Systems Book in PDF, ePub and Kindle
Hamiltonian Systems outlines the main results in the field, and considers the implications for quantum mechanics.
Author | : Paul A. M. Dirac |
Publisher | : Courier Corporation |
Total Pages | : 96 |
Release | : 2013-05-27 |
Genre | : Science |
ISBN | : 0486320286 |
Download Lectures on Quantum Mechanics Book in PDF, ePub and Kindle
Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.
Author | : Dittrich |
Publisher | : |
Total Pages | : |
Release | : 1994 |
Genre | : |
ISBN | : |
Download Classical and Quantum Dynamics ... Book in PDF, ePub and Kindle
Author | : E C G Sudarshan |
Publisher | : World Scientific Publishing Company |
Total Pages | : 612 |
Release | : 2015-10-08 |
Genre | : Science |
ISBN | : 9814713899 |
Download Classical Dynamics Book in PDF, ePub and Kindle
Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics. Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory. This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.
Author | : Gennady P. Berman |
Publisher | : Springer |
Total Pages | : 268 |
Release | : 2014-03-12 |
Genre | : Science |
ISBN | : 9783662145050 |
Download Crossover-Time in Quantum Boson and Spin Systems Book in PDF, ePub and Kindle
Author | : Lev V. Prokhorov |
Publisher | : Cambridge University Press |
Total Pages | : 485 |
Release | : 2011-09-22 |
Genre | : Science |
ISBN | : 1139500902 |
Download Hamiltonian Mechanics of Gauge Systems Book in PDF, ePub and Kindle
The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.