Search Results for "techniques-and-applications-of-path-integration-dover-books-on-physics"

Techniques and Applications of Path Integration

Techniques and Applications of Path Integration

  • Author: L. S. Schulman
  • Publisher: Courier Corporation
  • ISBN: 0486137023
  • Category: Science
  • Page: 448
  • View: 9027
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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.

Quantum Mechanics and Path Integrals

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: 5317
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Looks at quantum mechanics, covering such topics as perturbation method, statistical mechanics, path integrals, and quantum electrodynamics.

Path Integrals and Quantum Processes

Path Integrals and Quantum Processes

  • Author: Mark S. Swanson
  • Publisher: Courier Corporation
  • ISBN: 0486782301
  • Category: Science
  • Page: 464
  • View: 6956
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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

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: 8304
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Revised edition of Gender through the prism of difference, 2011.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

  • Author: Hagen Kleinert
  • Publisher: World Scientific
  • ISBN: 9814273570
  • Category: Mathematics
  • Page: 1624
  • View: 9402
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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."

Mathematical Analysis of Physical Problems

Mathematical Analysis of Physical Problems

  • Author: Philip Russell Wallace
  • Publisher: Courier Corporation
  • ISBN: 0486646769
  • Category: Science
  • Page: 616
  • View: 711
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This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Mathematics of Classical and Quantum Physics

Mathematics of Classical and Quantum Physics

  • Author: Frederick W. Byron,Robert W. Fuller
  • Publisher: Courier Corporation
  • ISBN: 0486135063
  • Category: Science
  • Page: 672
  • View: 8420
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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.

Mathematical Methods in Physics and Engineering

Mathematical Methods in Physics and Engineering

  • Author: John W. Dettman
  • Publisher: Courier Corporation
  • ISBN: 0486169367
  • Category: Technology & Engineering
  • Page: 448
  • View: 5071
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Algebraically based approach to vectors, mapping, diffraction, and other topics covers generalized functions, analytic function theory, Hilbert spaces, calculus of variations, boundary value problems, integral equations, more. 1969 edition.

Green's Functions and Condensed Matter

Green's Functions and Condensed Matter

  • Author: G. Rickayzen
  • Publisher: Courier Corporation
  • ISBN: 048631586X
  • Category: Science
  • Page: 368
  • View: 7640
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Presentation of the basic theoretical formulation of Green's functions, followed by specific applications: transport coefficients of a metal, Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. 1984 edition.

Mathematical Theory of Feynman Path Integrals

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: 8382
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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.

Introduction to Quantum Mechanics

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: 9642
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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.

Applications of Group Theory in Quantum Mechanics

Applications of Group Theory in Quantum Mechanics

  • Author: M. I. Petrashen,J. L. Trifonov
  • Publisher: Courier Corporation
  • ISBN: 0486172724
  • Category: Science
  • Page: 336
  • View: 3126
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Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.

Topology and Geometry for Physicists

Topology and Geometry for Physicists

  • Author: Charles Nash,Siddhartha Sen
  • Publisher: Courier Corporation
  • ISBN: 0486318362
  • Category: Mathematics
  • Page: 320
  • View: 9613
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Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research. "Thoroughly recommended" by The Physics Bulletin, this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.

The Quantum Theory of Radiation

The Quantum Theory of Radiation

  • Author: Walter Heitler
  • Publisher: Courier Corporation
  • ISBN: 9780486645582
  • Category: Science
  • Page: 430
  • View: 3534
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The first comprehensive treatment of quantum physics in any language, this classic introduction to the basic theory remains highly recommended and in wide use, both as a text and as a reference. A unified and accurate guide to the application of radiative processes, it explores the mathematics and physics of quantum theory. 1954 edition.

Integral Equations

Integral Equations

  • Author: F. G. Tricomi
  • Publisher: Courier Corporation
  • ISBN: 0486158306
  • Category: Mathematics
  • Page: 256
  • View: 9257
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Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.

A Modern Approach to Functional Integration

A Modern Approach to Functional Integration

  • Author: John R. Klauder
  • Publisher: Springer Science & Business Media
  • ISBN: 0817647902
  • Category: Mathematics
  • Page: 282
  • View: 7914
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This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.

Relativistic Quantum Fields

Relativistic Quantum Fields

  • Author: Charles Nash
  • Publisher: Courier Corporation
  • ISBN: 0486477525
  • Category: Science
  • Page: 223
  • View: 596
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"This graduate-level text contains statistical and quantitative techniques for performing calculations in quantum field theory. Topics include renormalization, functional differentiation and integration, and the Schwinger-Dyson equations; dimensional regularization; the gauge and infrared properties of quantum electrodynamics; and asymptotic behavior and renormalization group methods. Reference features include an appendix, bibliography, and index. 1978 edition"--

Elementary Quantum Mechanics

Elementary Quantum Mechanics

  • Author: David S. Saxon
  • Publisher: Courier Corporation
  • ISBN: 0486310418
  • Category: Science
  • Page: 448
  • View: 9762
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This volume focuses on the formulas of quantum mechanics rather than on applications. Topics include the dual nature of matter and radiation, state functions, linear momentum, motion of a free particle, and more. 1968 edition.

Variational Principles in Dynamics and Quantum Theory

Variational Principles in Dynamics and Quantum Theory

  • Author: Wolfgang Yourgrau,Stanley Mandelstam
  • Publisher: Courier Corporation
  • ISBN: 0486151131
  • Category: Science
  • Page: 224
  • View: 3192
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DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div

Path Integrals in Physics

Path Integrals in Physics

Volume I Stochastic Processes and Quantum Mechanics

  • Author: M Chaichian,A Demichev
  • Publisher: CRC Press
  • ISBN: 9780750308014
  • Category: Science
  • Page: 336
  • View: 799
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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.