h-independent universality of the quantum and classical canonical transformations


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Hakioglu T., TEĞMEN A., Demircioglu B.

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

  • 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
  • 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.