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This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
Eigenvalue equation for a 1--D Hamilton function in deformation quantization
1--D Hamilton Eigenvalue equation deformation quantization
2011/7/25
Abstract: The choice of coordinates: time and energy as the most convenient for an eigenvalue equation for a 1--D nonrelativistic Hamiltonian in frames of deformation quantization has been proposed. A...
Various aspects of Morita theory of deformed algebras and in particular of star product algebras on general Poisson manifolds are discussed. We relate the three flavours ring-heoretic Morita equivalen...
Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles
Nonassociative strict deformation quantization nonassociative torus bundles T-duality
2011/1/20
In this paper, we initiate the study of nonassociative strict deformation quantization of C-algebras with a torus action. We shall also present a definition of nonassociative principal
torus bundles...
Deformation Quantization for Heisenberg Supergroup
Deformation Quantization Heisenberg Supergroup
2010/11/17
We construct a non-formal deformation quantization of the Heisenberg supergroup. The deformed star product provides a Universal Deformation Formula, namely it deforms the algebras on which the Heisenb...
Generalized Wigner Functions for Damped Systems in Deformation Quantization
Wigner function damped system deformation quantization
2007/8/15
2007Vol.48No.2pp.255-260DOI:
Generalized Wigner Functions for Damped Systems in Deformation Quantization
HENG Tai-Hua and JING Si-Cong
Department of Modern Physics, Univ...