Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0965.81038
Vitolo, Raffaele
Quantum structures in Galilei general relativity. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 70, No.3, 239-257 (1999). ISSN 0246-0211

Summary: We give a necessary and sufficient condition on the existence of quantum structures on a curved spacetime with absolute time, and classify these structures. We refer to the geometric approach to quantum mechanics on a Galilei general relativistic background, as formulated by Jadczyk and Modugno. These results are analogous to those of geometric quantisation, but they involve the topology of spacetime, rather than the topology of the configuration space.

MSC 2000:: *81S10 Geometric quantization, symplectic methods
53D50 Geometric quantization
83D05 Relativistic gravitational theories other than Einstein's
83C47 Quantum field theory on curved space-times

Keywords: Galilei general relativity; particle mechanics; jets; nonlinear connections; cosymplectic forms; cohomology; existence of quantum structures; curved spacetime

Cited in: Zbl 1137.81023

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]