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Probability in relativistic quantum mechanics and foliation of spacetime
H. Nikolic
abstract: The conserved probability densities (attributed to the conserved currents
derived from relativistic wave equations) should be non-negative and the
integral of them over an entire hypersurface should be equal to one. To satisfy
these requirements in a covariant manner, the foliation of spacetime must be
such that each integral curve of the current crosses each hypersurface of the
foliation once and only once. In some cases, it is necessary to use
hypersurfaces that are not spacelike everywhere. The generalization to the
many-particle case is also possible.
- oai_identifier:
- oai:arXiv.org:quant-ph/0602024
- categories:
- quant-ph gr-qc hep-th
- comments:
- 9 pages, 3 figures, revised, new references, to appear in Int. J.
Mod. Phys. A
- doi:
- 10.1142/S0217751X07038438
- arxiv_id:
- quant-ph/0602024
- journal_ref:
- Int.J.Mod.Phys.A22:6243-6251,2007
- created:
- 2006-02-02
- updated:
- 2007-05-09
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