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Quantum mechanics in phase space : an overview with selected papers / editors, Cosmas K. Zachos, David B. Fairlie, Thomas L. Curtright.
- Format:
- Book
- Series:
- World Scientific series in 20th century physics ; v. 34.
- World Scientific series in 20th century physics ; v. 34
- Language:
- English
- Subjects (All):
- Phase space (Statistical physics).
- Quantum theory.
- Physical Description:
- 1 online resource (560 p.)
- Edition:
- 1st ed.
- Place of Publication:
- New Jersey ; London : World Scientific, c2005.
- Language Note:
- English
- Summary:
- Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path inte
- Contents:
- CONTENTS; Preface; Overview of Phase-Space Quantization; References; List of Selected Papers; Index; Quantenmechanik und Gruppentheorie; Die Eiudeutigkeit der Schrodingerschen Operatoren; On the Quantum Correction For Thermodynamic Equilibrium; ON THE PRINCIPLES OF ELEMENTARY QUANTUM MECHANICS; QUANTUM MECHANICS AS A STATISTICAL THEORY; THE EXACT TRANSITION PROBABILITIES O F QUANTUM- MECHANICAL OSCILLATORS CALCULATED BY THE PHASE-SPACE METHOD; The Formulation of Quantum Mechanics in terms of Ensemble in Phase Space''
- Formulation of Quantum Mechanics Based on the Quasi-Probability Distribution Induced on Phase SpaceThe formulation of quantum mechanics in terms of phase space functions; A NON-NEGATIVE WIGNER-TYPE DISTRIBUTION; Wigner function as the expectation value of a parity operator; Deformation Theory and Quantization; Deformation Theory and Quantization II. Physical Applications; Wigner distribution functions and the representation of canonical transformations in quantum mechanics; Wigner's phase space function and atomic structure; DISTRIBUTION FUNCTIONS IN PHYSICS: FUNDAMENTALS
- Canonical transformation in quantum mechanicsNegative probability; EXISTENCE OF STAR-PRODUCTS AND OF FORMAL DEFORb4ATIONS OF THE POISSON LIE ALGEBRA OF ARBITRARY SYMPLECTIC MANIFOLDS; A SIMPLE GEOMETRICAL CONSTRUCTION OF DEFORMATION QUANTIZATION; Features of time-independent Wigner functions; NEGATIVE PROBABILITY AND UNCERTAINTY RELATIONS; Generating all Wigner functions; Modified spectral method in phase space: Calculation of the Wigner function. I. Fundamentals; Modified spectral method in phase space: Calculation of the Wigner function. II. Generalizations
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 9786611905866
- 9781281905864
- 1281905860
- 9789812703507
- 9812703500
- OCLC:
- 476064296
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