04271nam 2200649Ia 450 991078391870332120230617040745.01-281-90586-09786611905866981-270-350-0(CKB)1000000000334409(EBL)296224(OCoLC)476064296(SSID)ssj0000231349(PQKBManifestationID)11194880(PQKBTitleCode)TC0000231349(PQKBWorkID)10207074(PQKB)11629661(MiAaPQ)EBC296224(WSP)00000037 (Au-PeEL)EBL296224(CaPaEBR)ebr10174087(CaONFJC)MIL190586(EXLCZ)99100000000033440920060217d2005 uy 0engur|n|---|||||txtccrQuantum mechanics in phase space[electronic resource] an overview with selected papers /editors, Cosmas K. Zachos, David B. Fairlie, Thomas L. CurtrightNew Jersey ;London World Scientificc20051 online resource (560 p.)World Scientific series in 20th century physics ;v. 34Description based upon print version of record.981-238-384-0 Includes bibliographical references and index.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: FUNDAMENTALSCanonical 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. GeneralizationsWigner'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 inteWorld Scientific series in 20th century physics ;v. 34.Phase space (Statistical physics)Quantum theoryPhase space (Statistical physics)Quantum theory.530.12Zachos Cosmas53007Fairlie David53006Curtright Thomas53005MiAaPQMiAaPQMiAaPQBOOK9910783918703321Quantum mechanics in phase space3738957UNINA