General Mathematics, Vol. 5, No. 1 - 4, pp. 199-210, 1995
Abstract: We introduce a Lie algebra of distinguished vector fields on a quantum bundle over general relativistic classical spacetime and exhibit a natural isomorphism with the Lie algebra of quantisable functions on the classical phase space. These constructions have been inspired by analogous results in the Galilei framework related to a new quantisation scheme. The present results are expected to lead to an analogous covariant quantisation procedure in the Einstein framework.
Classification (MSC91): 53C05, 58A20, 58F06, 81S10
Keywords: Spacetime, jet, quantum bundle, quantisable functions, quantum vector fields.
Full text of the article:
[Next Article] [Contents of this Number] [Journals Homepage]