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

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

7 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	6603-6615
Sayfa sayısı	13
Dergi	Journal of Physics A: Mathematical and General
Hacim	34
Basın numarası	34
DOI'lar	https://doi.org/10.1088/0305-4470/34/34/307
Yayın durumu	Yayınlandı - 31 Ağu 2001
Harici olarak yayınlandı	Evet

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10.1088/0305-4470/34/34/307

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Link to publication in Scopus

Alıntı Yap

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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.\}",

year = "2001",

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AU - Dragt, Alex J.

PY - 2001/8/31

Y1 - 2001/8/31

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.

UR - https://www.scopus.com/pages/publications/0035979984

U2 - 10.1088/0305-4470/34/34/307

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

M3 - Article

AN - SCOPUS:0035979984

SN - 0305-4470

VL - 34

SP - 6603

EP - 6615

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 34

ER -

The Moyal-Lie theory of phase space quantum mechanics

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