STAR PRODUCTS ON GENERALIZED COMPLEX MANIFOLDS
2007 ◽
Vol 04
(08)
◽
pp. 1231-1238
Keyword(s):
We regard classical phase space as a generalized complex manifold and analyze the B-transformation properties of the ⋆-product of functions. The C⋆-algebra of smooth functions transforms in the expected way, while the C⋆-algebra of holomorphic functions (when it exists) transforms nontrivially. The B-transformed ⋆-product encodes all the properties of phase-space quantum mechanics in the presence of a background magnetic field.
2007 ◽
Vol 04
(04)
◽
pp. 523-532
◽
1981 ◽
pp. 75-99
1973 ◽
Vol 28
(3-4)
◽
pp. 538-540
◽
2005 ◽
Vol 02
(04)
◽
pp. 633-655
2006 ◽
Vol 13
(01)
◽
pp. 67-74
◽
Keyword(s):
Keyword(s):
2004 ◽
Vol 19
(23)
◽
pp. 1733-1744
◽
2008 ◽
Vol 41
(28)
◽
pp. 285304
◽