TY - JOUR
T1 - ℏ-independent universality of the quantum and classical canonical transformations
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 - http://www.scopus.com/inward/record.url?scp=33751239423&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2006.08.060
DO - 10.1016/j.physleta.2006.08.060
M3 - Article
AN - SCOPUS:33751239423
SN - 0375-9601
VL - 360
SP - 501
EP - 506
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4-5
ER -