Quantum Mechanics and Path Integrals

Author: Richard P. Feynman,Albert R. Hibbs,Daniel F. Styer

Publisher: Courier Corporation

ISBN: 0486477223

Category: Science

Page: 371

View: 3453

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: 0486137023

Category: Science

Page: 448

View: 7158

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.

Gender Through the Prism of Difference

Author: Maxine Baca Zinn,Pierrette Hondagneu-Sotelo,Amy M. Denissen

Publisher: Oxford University Press, USA

ISBN: 0190200049

Category: Sex role

Page: 592

View: 4114

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

Mathematics of Classical and Quantum Physics

Author: Frederick W. Byron,Robert W. Fuller

Publisher: Courier Corporation

ISBN: 0486135063

Category: Science

Page: 672

View: 7727

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 Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Author: Hagen Kleinert

Publisher: World Scientific

ISBN: 9814273570

Category: Mathematics

Page: 1624

View: 5632

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,Takashi Ohmura

Publisher: Courier Corporation

ISBN: 0486320693

Category: Science

Page: 528

View: 8563

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: 0486320286

Category: Science

Page: 96

View: 5163

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.

The Physical Principles of the Quantum Theory

Author: Werner Heisenberg

Publisher: Courier Corporation

ISBN: 0486318419

Category: Science

Page: 208

View: 8841

Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." — Nature.

Path Integrals for Pedestrians

Author: Ennio Gozzi,Enrico Cattaruzza,Carlo Pagani

Publisher: World Scientific Publishing Company

ISBN: 9814603953

Category: Science

Page: 156

View: 2043

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.

Path Integrals and Quantum Processes

Author: Mark S. Swanson

Publisher: Courier Corporation

ISBN: 0486493067

Category: Science

Page: 464

View: 8306

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.

Path Integral Approach to Quantum Physics

An Introduction

Author: Gert Roepstorff

Publisher: Springer Science & Business Media

ISBN: 3642578861

Category: Science

Page: 387

View: 1891

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.

Introduction to Quantum Mechanics

Schrödinger Equation and Path Integral Second Edition

Author: Harald J W Müller-Kirsten

Publisher: World Scientific Publishing Company

ISBN: 9814397768

Category: Science

Page: 944

View: 4603

This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions. In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.

Electrodynamics and Classical Theory of Fields and Particles

Author: A. O. Barut

Publisher: Courier Corporation

ISBN: 0486158713

Category: Science

Page: 256

View: 9597

Comprehensive graduate-level text by a distinguished theoretical physicist reveals the classical underpinnings of modern quantum field theory. Topics include space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and more. 1964 edition.

Sources of Quantum Mechanics

Author: B. L. Van Der Waerden

Publisher: Courier Corporation

ISBN: 048645892X

Category: Science

Page: 430

View: 9856

Originally published: Amsterdam: North-Holland Pub. Co., 1967.

Mathematical Theory of Feynman Path Integrals

An Introduction

Author: Sergio Albeverio,Rafael Høegh-Krohn,Sonia Mazzucchi

Publisher: Springer

ISBN: 3540769560

Category: Mathematics

Page: 182

View: 2795

The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Quantum Theory

Author: David Bohm

Publisher: Courier Corporation

ISBN: 0486134881

Category: Science

Page: 672

View: 4413

This advanced undergraduate-level text presents the quantum theory in terms of qualitative and imaginative concepts, followed by specific applications worked out in mathematical detail.

A Guide to Feynman Diagrams in the Many-Body Problem

Second Edition

Author: Richard D. Mattuck

Publisher: Courier Corporation

ISBN: 0486131645

Category: Science

Page: 464

View: 6837

Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.

Path Integrals and Hamiltonians

Principles and Methods

Author: Belal E. Baaquie

Publisher: Cambridge University Press

ISBN: 1107009790

Category: Science

Page: 436

View: 2009

Introduces the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics.

Non-Relativistic Quantum Mechanics

Author: Ravinder R. Puri

Publisher: Cambridge University Press

ISBN: 1107164362

Category: Science

Page: 550

View: 3688

This book develops and simplifies the concept of quantum mechanics based on the postulates of quantum mechanics. The text discusses the technique of disentangling the exponential of a sum of operators, closed under the operation of commutation, as the product of exponentials to simplify calculations of harmonic oscillator and angular momentum. Based on its singularity structure, the Schrödinger equation for various continuous potentials is solved in terms of the hypergeometric or the confluent hypergeometric functions. The forms of the potentials for which the one-dimensional Schrödinger equation is exactly solvable are derived in detail. The problem of identifying the states of two-level systems which have no classical analogy is addressed by going beyond Bell-like inequalities and separability. The measures of quantumness of mutual information in two two-level systems is also covered in detail.

Quantum Field Theory for the Gifted Amateur

Author: Tom Lancaster,Stephen J. Blundell,Stephen Blundell

Publisher: Oxford University Press

ISBN: 0199699321

Category: Science

Page: 485

View: 1780

Quantum field theory provides the theoretical backbone to most modern physics. This book is designed to bring quantum field theory to a wider audience of physicists. It is packed with worked examples, witty diagrams, and applications intended to introduce a new audience to this revolutionary theory.