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

Mario Castagnino and Rafael Ferraro
Phys. Rev. D 40, 4188 – Published 15 December 1989
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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

Authors & Affiliations

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

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Vol. 40, Iss. 12 — 15 December 1989

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