techniques and applications of path integration dover books on physics

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Techniques And Applications Of Path Integration

Author : L. S. Schulman
ISBN : 9780486137025
Genre : Science
File Size : 26. 27 MB
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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.

Enhanced Quantization

Author : John R Klauder
ISBN : 9789814644648
Genre : Science
File Size : 58. 42 MB
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This pioneering book addresses the question: Are the standard procedures of canonical quantization fully satisfactory, or is there more to learn about assigning a proper quantum system to a given classical system? As shown in this book, the answer to this question is: The standard procedures of canonical quantization are not the whole story! This book offers alternative quantization procedures that complete the story of quantization. The initial chapters are designed to present the new procedures in a clear and simple manner for general readers. As is necessary, systems that exhibit acceptable results with conventional quantization lead to the same results when the new procedures are used for them. However, later chapters examine selected models that lead to unacceptable results when quantized conventionally. Fortunately, these same models lead to acceptable results when the new quantization procedures are used. Contents:Introduction and OverviewSelected Topics in Classical and Quantum Mechanics:Selected Topics in Classical MechanicsSelected Topics in Quantum MechanicsEnhanced Quantization of Simple Systems:Essentials of Enhanced QuantizationEnhanced Affine Quantization and the Initial Cosmological SingularityEnhanced Quantization of Some Complex Systems:Examples of Enhanced Quantization: Bosons, Fermions, and AnyonsEnhanced Quantization of Rotationally Invariant ModelsEnhanced Quantization of Ultralocal Field Theories:Enhanced Quantization of Ultralocal ModelsEnhanced Quantization of Covariant Scalars and Gravity:Enhanced Quantization of Covariant Scalar Field ModelsEnhanced Quantization of Gravity Readership: Graduate students and researchers in quantum mechanics. Key Features:Solutions for previously insoluble problemsNontrivial behavior for scalar fieldsNovel quantization proceduresKeywords:Affine Quantization;Weak Correspondence Principle;Triviality of Scalar Fields;Affine Quantum Gravity;Coherent States

Quantum Mechanics And Path Integrals

Author : Richard P. Feynman
ISBN : 9780486477220
Genre : Science
File Size : 65. 68 MB
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Looks at quantum mechanics, covering such topics as perturbation method, statistical mechanics, path integrals, and quantum electrodynamics.

Path Integral Quantization And Stochastic Quantization

Author : Michio Masujima
ISBN : 9783540878513
Genre : Science
File Size : 40. 55 MB
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In this book, we discuss the path integral quantization and the stochastic quantization of classical mechanics and classical field theory. Forthe description ofthe classical theory, we have two methods, one based on the Lagrangian formalism and the other based on the Hamiltonian formal ism. The Hamiltonian formalism is derived from the Lagrangian·formalism. In the standard formalism ofquantum mechanics, we usually make use ofthe Hamiltonian formalism. This fact originates from the following circumstance which dates back to the birth of quantum mechanics. The first formalism ofquantum mechanics is Schrodinger's wave mechan ics. In this approach, we regard the Hamilton-Jacobi equation of analytical mechanics as the Eikonal equation of "geometrical mechanics". Based on the optical analogy, we obtain the Schrodinger equation as a result ofthe inverse of the Eikonal approximation to the Hamilton-Jacobi equation, and thus we arrive at "wave mechanics". The second formalism ofquantum mechanics is Heisenberg's "matrix me chanics". In this approach, we arrive at the Heisenberg equation of motion from consideration of the consistency of the Ritz combination principle, the Bohr quantization condition and the Fourier analysis of a physical quantity. These two formalisms make up the Hamiltonian.formalism of quantum me chanics.

Springer Tracts In Modern Physics

Author : Michio Masujima
ISBN : UCLA:L0068422096
Genre : Physics
File Size : 26. 7 MB
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Mathematical Modeling Of Wave Phenomena

Author : Börje Nilsson
ISBN : UOM:39015064130324
Genre : Science
File Size : 77. 45 MB
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This conference series intends to illuminate the relationship between different types of waves. This second conference focused primarily on classical wave modeling of acoustic waves in solids and fluids, electromagnetic waves, as well as elastic wave modeling, and both direct and inverse problems are addressed. Topics included are: (1) Classical linear wave propagation modeling, analysis and computation: general, electromagnetic applications, acoustics of fluids, acoustics of solids; (2) classical nonlinear wave propagation modeling, analysis, and computation; (3) inverse scattering modeling: gneral and electromagnetic imaging, wood imaging, seismic imaging; (4) quantum and statistical mechanics; (5) signal processing and analysis.

American Book Publishing Record

Author :
ISBN : UOM:39015081504329
Genre : American literature
File Size : 32. 90 MB
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Encyclopedia Of Mathematical Physics

Author : Sheung Tsun Tsou
ISBN : 0125126603
Genre : Science
File Size : 23. 6 MB
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The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originated from work in mathematical physics by providing them with focused high quality background information. * First comprehensive interdisciplinary coverage * Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields * Written by an international group of experts * Contains several undergraduate-level introductory articles to facilitate acquisition of new expertise * Thematic index and extensive cross-referencing to provide easy access and quick search functionality * Also available online with active linking.

Canadian Journal Of Physics

Author :
ISBN : MINN:31951P006252618
Genre : Physics
File Size : 56. 57 MB
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An Introduction To The Calculus Of Variations

Author : Charles Fox
ISBN : 0486654990
Genre : Mathematics
File Size : 69. 19 MB
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In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.

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