ℏ-independent universality of the quantum and classical canonical transformations

T. Hakioǧlu; A. Teǧmen; B. Demircioǧlu

doi:10.1016/j.physleta.2006.08.060

ℏ-independent universality of the quantum and classical canonical transformations

T. Hakioǧlu^*, A. Teǧmen, B. Demircioǧlu

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

A theory of non-unitary-invertible and also unitary canonical transformations is formulated in the context of Weyl's phase space representations. It is shown in the phase space that all quantum canonical transformations without an explicit ℏ dependence are also classical mechanical and vice versa. Contrary to some earlier results, it is also shown that the quantum generators and their classical counterparts are identical in this ℏ-independent universal class.

Original language	English
Pages (from-to)	501-506
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	360
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2006.08.060
Publication status	Published - 8 Jan 2007
Externally published	Yes

Funding

The author T.H. is thankful to C. Zachos (High Energy Physics Division, Argonne National Laboratory) for stimulating discussions. This work was supported in part by TÜBİTAK (Scientific and Technical Research Council of Turkey), Bilkent University and the US Department of Energy, Division of High Energy Physics, under contract W-31-109-Eng-38.

Funders	Funder number
Division of High Energy Physics	W-31-109-Eng-38
TÜBİTAK
U.S. Department of Energy
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu
Bilkent Üniversitesi

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AB - A theory of non-unitary-invertible and also unitary canonical transformations is formulated in the context of Weyl's phase space representations. It is shown in the phase space that all quantum canonical transformations without an explicit ℏ dependence are also classical mechanical and vice versa. Contrary to some earlier results, it is also shown that the quantum generators and their classical counterparts are identical in this ℏ-independent universal class.

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ℏ-independent universality of the quantum and classical canonical transformations

Abstract

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