Marmo, Giuseppe and Vitale, Patrizia (2007) Star products, duality and double Lie algebras. [Pubblicazione in rivista scientifica]

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Item Type: Pubblicazione in rivista scientifica
Title: Star products, duality and double Lie algebras
Creators:
CreatorsEmail
Marmo, GiuseppeUNSPECIFIED
Vitale, PatriziaUNSPECIFIED
Autor/s: O.V. Man'ko, V.I. Man'ko, G. Marmo, P. Vitale
Date: 2007
Number of Pages: 11
Department: Scienze fisiche
Identification Number: 10.1016/j.physleta.2006.08.057
Journal or Publication Title: PHYSICS LETTERS A
Date: 2007
Volume: 360
Number: 4-5
Page Range: pp. 522-532
Number of Pages: 11
Uncontrolled Keywords: Star-product, Integral kernel, Poisson bracket, Quantum tomography
Identification Number: 10.1016/j.physleta.2006.08.057
Date Deposited: 20 Oct 2010 08:34
Last Modified: 30 Apr 2014 19:42
URI: http://www.fedoa.unina.it/id/eprint/6682

Abstract

Quantization of classical systems using the star-product of symbols of observables is discussed. In the star-product scheme an analysis of dual structures is performed and a physical interpretation is proposed. At the Lie algebra level duality is shown to be connected to double Lie algebras. The analysis is specified to quantum tomography. The classical tomographic Poisson bracket is found.

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