corner
corner
APS » Journals » Phys. Rev. D » Volume 40 » Issue 12
< Previous Article | Next Article >

Phys. Rev. D 40, 4188–4190 (1989)

Hamiltonian diagonalization in foliable space-times: A method to find the modes

Download: PDF (119 kB) Buy this article Export: BibTeX or EndNote (RIS)

Mario Castagnino
Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina, Departmento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina and Instituto de Física Rosario, Consejo Nacional de Investigaciones Científicas y T'ecnicas y Universidad de Rosario, Pellegrini 250, 2000 Rosario, Argentina

Rafael Ferraro
Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina and Departmento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina

Received 23 March 1988; revised 16 March 1989; published in the issue dated 15 December 1989

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.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.40.4188
DOI:
10.1103/PhysRevD.40.4188
PACS:
 
< Previous Article | Next Article >