h-independent universality of the quantum and classical canonical transformations

Hakioglu, T.; TEĞMEN, ADNAN; Demircioglu, B.

doi:10.1016/j.physleta.2006.08.060

h-independent universality of the quantum and classical canonical transformations

Hakioglu T., TEĞMEN A., Demircioglu B.

PHYSICS LETTERS A, cilt.360, sa.4-5, ss.501-506, 2007 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 360 Sayı: 4-5
Basım Tarihi: 2007
Doi Numarası: 10.1016/j.physleta.2006.08.060
Dergi Adı: PHYSICS LETTERS A
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.501-506
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Ankara Üniversitesi Adresli: Evet

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 h 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 h-independent universal class. (c) 2006 Elsevier B.V. All rights reserved.