Quantum Mechanics and Path Integrals

Author: Richard P. Feynman
Publisher: Courier Corporation
ISBN: 9780486477220
Release Date: 2010-07-21
Genre: Science

Looks at quantum mechanics, covering such topics as perturbation method, statistical mechanics, path integrals, and quantum electrodynamics.

Techniques and Applications of Path Integration

Author: L. S. Schulman
Publisher: Courier Corporation
ISBN: 9780486137025
Release Date: 2012-10-10
Genre: Science

Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.

Path Integrals and Quantum Processes

Author: Mark S. Swanson
Publisher: Courier Corporation
ISBN: 9780486493060
Release Date: 2014-02-19
Genre: Science

Graduate-level, systematic presentation of path integral approach to calculating transition elements, partition functions, and source functionals. Covers Grassmann variables, field and gauge field theory, perturbation theory, and nonperturbative results. 1992 edition.

Gender Through the Prism of Difference

Author: Maxine Baca Zinn
Publisher: Oxford University Press, USA
ISBN: 9780190200046
Release Date: 2015-07-01
Genre: Sex role

Revised edition of Gender through the prism of difference, 2011.

Quantum Mechanics

Author: Albert Messiah
Publisher: Courier Corporation
ISBN: 9780486791661
Release Date: 2014-02-17
Genre: Science

"Strongly recommended" by the American Journal of Physics, this volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for professionals. Clear in its presentation and scrupulous in its attention to detail, the treatment originally appeared in a two-volume French edition. This convenient single-volume translation begins with formalism and its interpretation, starting with the origins of quantum theory and examinations of matter waves and the Schrödinger equation, one-dimensional quantized systems, the uncertainty relations, and the mathematical framework and physical content of formalism. The second half opens with an exploration of symmetries and invariance, including a consideration of angular momentum, identical particles and the Pauli exclusion principle, invariance and conservation laws, and time reversal. Methods of approximation include those involving stationary perturbations, the equation of motion, variational method, and collision theory. The final chapters review the elements of relativistic quantum mechanics, and each of the two volumes concludes with useful appendixes.

Path Integral Approach to Quantum Physics

Author: Gert Roepstorff
Publisher: Springer Science & Business Media
ISBN: 9783642578861
Release Date: 2012-12-06
Genre: Science

Specifically designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible, the book concentrates on the conceptual problems inherent in the path integral formalism. Throughout, the striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore, and all the methods of fundamental interest are generously illustrated by important physical examples.

Path Integrals in Quantum Mechanics Statistics Polymer Physics and Financial Markets

Author: Hagen Kleinert
Publisher: World Scientific
ISBN: 9789814273572
Release Date: 2009
Genre: Mathematics

This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have been made possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman''s time-sliced formula to include singular attractive 1/r- and 1/r2-potentials. The second is a new nonholonomic mapping principle carrying physical laws in flat spacetime to spacetimes with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations. In addition to the time-sliced definition, the author gives a perturbative, coordinate-independent definition of path integrals, which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely products of distributions. The powerful Feynman-Kleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent results. The convergence is uniform from weak to strong couplings, opening a way to precise evaluations of analytically unsolvable path integrals in the strong-coupling regime where they describe critical phenomena. Tunneling processes are treated in detail, with applications to the lifetimes of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation expansions. A variational treatment extends the range of validity to small barriers. A corresponding extension of the large-order perturbation theory now also applies to small orders. Special attention is devoted to path integrals with topological restrictions needed to understand the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The ChernoOe1/4OC Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect. The relevance of path integrals to financial markets is discussed, and improvements of the famous BlackoOe1/4OC Scholes formula for option prices are developed which account for the fact, recently experienced in the world markets, that large fluctuations occur much more frequently than in Gaussian distributions."

Quantum Theory of Scattering

Author: Ta-you Wu
Publisher: Courier Corporation
ISBN: 9780486320694
Release Date: 2014-01-15
Genre: Science

This volume addresses the broad formal aspects and applications of the quantum theory of scattering in atomic and nuclear collisions. An encyclopedic source of pioneering work, it serves as a text for students and a reference for professionals in the fields of chemistry, physics, and astrophysics. The self-contained treatment begins with the general theory of scattering of a particle by a central field. Subsequent chapters explore particle scattering by a non-central field, collisions between composite particles, the time-dependent theory of scattering, and nuclear reactions. An examination of dispersion relations concludes the text. Numerous graphs, tables, and footnotes illuminate each chapter, in addition to helpful appendixes and bibliographies.

Lectures on Quantum Mechanics

Author: Paul A. M. Dirac
Publisher: Courier Corporation
ISBN: 9780486320281
Release Date: 2013-05-27
Genre: Science

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.

Path Integrals for Pedestrians

Author: Ennio Gozzi
Publisher: World Scientific Publishing Company
ISBN: 9789814603959
Release Date: 2015-11-18
Genre: Science

This book aims to provide a quick pedagogical introduction to path integrals. It contains original material that never before has appeared in a book, for example the path integrals for the Wigner functions and for Classical Mechanics. This application to Classical Mechanics connects different fields like Hamiltonian mechanics and differential geometry, so the book is suitable for students and researchers from various disciplines.

Linear Operators for Quantum Mechanics

Author: Thomas F. Jordan
Publisher: Courier Corporation
ISBN: 9780486140544
Release Date: 2012-09-20
Genre: Science

Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.

Quantum Mechanics with Applications

Author: David B Beard
Publisher: Courier Corporation
ISBN: 9780486798219
Release Date: 2014-08-20
Genre: Science

Introductory text provides foundation in the mathematical study and properties of wave motion. Topics include physical consequences of wave theory of material properties and extensive applications to atomic structure and diatomic molecules. 1970 edition.

The Principles of Quantum Mechanics

Author: Paul Adrien Maurice Dirac
Publisher: Oxford University Press
ISBN: 0198520115
Release Date: 1981-01-01
Genre: Philosophy

The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.

Mathematics of Classical and Quantum Physics

Author: Frederick W. Byron
Publisher: Courier Corporation
ISBN: 9780486135069
Release Date: 2012-04-26
Genre: Science

Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Path Integrals in Physics

Author: M Chaichian
Publisher: CRC Press
ISBN: 075030801X
Release Date: 2001-07-01
Genre: Science

Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.