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Torsion and geometrostasis in nonlinear sigma models
Abstract We discuss some general effects produced by adding Wess-Zumino terms to the actions of nonlinear sigma models, an addition which may be made if the underlying field manifold has appropriateExpand
DEFORMATION QUANTIZATION: QUANTUM MECHANICS LIVES AND WORKS IN PHASE-SPACE
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; nuclearExpand
Features of time-independent Wigner functions
The Wigner phase-space distribution function provides the basis for Moyal{close_quote}s deformation quantization alternative to the more conventional Hilbert space and path integral quantizations.Expand
Classical and quantum Nambu mechanics
The classical and quantum features of Nambu mechanics are analyzed and fundamental issues are resolved. The classical theory is reviewed and developed utilizing varied examples. The quantum theory isExpand
Quantum mechanics in phase space : an overview with selected papers
In addition to the presentation speeches and the Nobel lectures, these volumes also provide brief biographies and the Nobel laureates' own accounts of their many years of preparation and effort thatExpand
Trigonometric structure constants for new infinite-dimensional algebras
Abstract Novel infinite-dimensional algebras of the Virasoro/Kac-Moody/Floratos-Iliopoulos type are introduced, which involve trigonometric functions in their structure constants. They are thenExpand
Ternary Virasoro-Witt Algebra
Abstract A 3-bracket variant of the Virasoro–Witt algebra is constructed through the use of su ( 1 , 1 ) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets inExpand
Infinite Dimensional Algebras and a Trigonometric Basis for the Classical Lie Algebras
This paper explores features of the infinite‐dimensional algebras that have been previously introduced. In particular, it is shown that the classical simple Lie algebras (AN, BN, CN, DN) may beExpand
Asymptotic analysis of the monopole structure
We analyze the behavior of the magnetic-monopole equations as a function of the ratio of Higgs-scalar-to-vector-meson mass M/sub H//M/sub W/. For very small M/sub H//M/sub W/, we find that the massExpand
Generating All Wigner Functions
In the context of phase-space quantization, matrix elements and observables result from integration of c-number functions over phase space, with Wigner functions serving as the quasiprobabilityExpand
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