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

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	501-506
Sayfa sayısı	6
Dergi	Physics Letters, Section A: General, Atomic and Solid State Physics
Hacim	360
Basın numarası	4-5
DOI'lar	https://doi.org/10.1016/j.physleta.2006.08.060
Yayın durumu	Yayınlandı - 8 Oca 2007
Harici olarak yayınlandı	Evet

Finansman

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.

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

Belgeye Erişim

10.1016/j.physleta.2006.08.060

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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AU - Hakioǧlu, T.

AU - Teǧmen, A.

AU - Demircioǧlu, B.

PY - 2007/1/8

Y1 - 2007/1/8

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/33751239423

U2 - 10.1016/j.physleta.2006.08.060

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M3 - Article

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SN - 0375-9601

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EP - 506

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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ℏ-independent universality of the quantum and classical canonical transformations

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap