Abstract
A way to obtain modes diagonalizing the canonical Hamiltonian of a minimally coupled scalar quantum field, in a foliable space-time, is shown. The Cauchy data for these modes are found to be the eigenfunctions of a second-order differential operator that could be interpreted as the squared Hamiltonian for the first-quantized relativistic particle in curved space.
- Received 23 March 1988
DOI:https://doi.org/10.1103/PhysRevD.40.4188
©1989 American Physical Society