The Moyal-Lie theory of phase space quantum mechanics

T. Hakioǧlu; Alex J. Dragt

doi:10.1088/0305-4470/34/34/307

The Moyal-Lie theory of phase space quantum mechanics

T. Hakioǧlu^*
, Alex J. Dragt

^*Corresponding author for this work

Bilkent University
University of Maryland, College Park

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

A Lie algebraic approach to the unitary transformations in Weyl quantization is discussed. This approach, being formally equivalent to the (black star)-quantization, is an extension of the classical Poisson-Lie theory and can be used as an efficient tool in the quantum phase space transformation theory.

Original language	English
Pages (from-to)	6603-6615
Number of pages	13
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	34
DOIs	https://doi.org/10.1088/0305-4470/34/34/307
Publication status	Published - 31 Aug 2001
Externally published	Yes

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title = "The Moyal-Lie theory of phase space quantum mechanics",

abstract = "A Lie algebraic approach to the unitary transformations in Weyl quantization is discussed. This approach, being formally equivalent to the (black star)-quantization, is an extension of the classical Poisson-Lie theory and can be used as an efficient tool in the quantum phase space transformation theory.",

author = "T. Hakioǧlu and Dragt, \{Alex J.\}",

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N2 - A Lie algebraic approach to the unitary transformations in Weyl quantization is discussed. This approach, being formally equivalent to the (black star)-quantization, is an extension of the classical Poisson-Lie theory and can be used as an efficient tool in the quantum phase space transformation theory.

AB - A Lie algebraic approach to the unitary transformations in Weyl quantization is discussed. This approach, being formally equivalent to the (black star)-quantization, is an extension of the classical Poisson-Lie theory and can be used as an efficient tool in the quantum phase space transformation theory.

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DO - 10.1088/0305-4470/34/34/307

M3 - Article

AN - SCOPUS:0035979984

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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The Moyal-Lie theory of phase space quantum mechanics

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