Proof of identity of Graham and Dekker covariant lattice propagators
- 1 December 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 24 (6) , 3182-3187
- https://doi.org/10.1103/physreva.24.3182
Abstract
It is proved that the spectral analysis of Dekker's covariant path integral for continuous Markov and quantum processes in curved spaces leads to a lattice expression that is exactly equal to Graham's fixed-point propagator. The proof proceeds in Riemannian normal coordinates. In addition, the well-known difference between the scalar potentials in the formal path integrals is explained.Keywords
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