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. © 1989 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Hamiltonian diagonalization in foliable space-times: A method to find the modes |
Autor: | Castagnino, M.; Ferraro, R. |
Filiación: | 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, Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina Instituto de Física Rosario, Consejo Nacional de Investigaciones Científicas y T'ecnicas, Universidad de Rosario, Pellegrini 250, 2000 Rosario, Argentina
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Año: | 1989
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Volumen: | 40
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Número: | 12
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Página de inicio: | 4188
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Página de fin: | 4190
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.40.4188 |
Título revista: | Physical Review D
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ISSN: | 05562821
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v40_n12_p4188_Castagnino |
Referencias:
- Birrell, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , Cambridge University Press, Cambridge, England
- Imamura, T., (1960) Phys. Rev., 118, p. 1430
- Grib, A.A., Mamaev, S.G., Mostepanenko, V.M., (1976) Gen. Relativ. Gravit., 7, p. 535
- Castagnino, M., Ferraro, R., (1986) Phys. Rev. D, 34, p. 497
- Fulling, S.A., (1979) Gen. Relativ. Gravit., 10, p. 807
- Ashtekar, A., Magnon, A., Quantum Fields in Curved Space-Times (1975) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 346 A, p. 375
- Spindel, Ph., (1977) Acad. R. Belg. Cl. Sci., 63, p. 51
- Freese, K., Hill, C.T., Mueller, M., (1985) Nucl. Phys., 255 B, p. 693
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- Unruh, W.G., (1976) Phys. Rev. D, 14, p. 870
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Citas:
---------- APA ----------
Castagnino, M. & Ferraro, R.
(1989)
. Hamiltonian diagonalization in foliable space-times: A method to find the modes. Physical Review D, 40(12), 4188-4190.
http://dx.doi.org/10.1103/PhysRevD.40.4188---------- CHICAGO ----------
Castagnino, M., Ferraro, R.
"Hamiltonian diagonalization in foliable space-times: A method to find the modes"
. Physical Review D 40, no. 12
(1989) : 4188-4190.
http://dx.doi.org/10.1103/PhysRevD.40.4188---------- MLA ----------
Castagnino, M., Ferraro, R.
"Hamiltonian diagonalization in foliable space-times: A method to find the modes"
. Physical Review D, vol. 40, no. 12, 1989, pp. 4188-4190.
http://dx.doi.org/10.1103/PhysRevD.40.4188---------- VANCOUVER ----------
Castagnino, M., Ferraro, R. Hamiltonian diagonalization in foliable space-times: A method to find the modes. 1989;40(12):4188-4190.
http://dx.doi.org/10.1103/PhysRevD.40.4188