Abstract:
Phase space path integral is worked out in a Riemannian geometry, by employing a prescription for the infinitesimal propagator that takes Riemann normal coordinates and momenta on an equal footing. The operator ordering induced by this prescription leads to the DeWitt curvature coupling in the Schrödinger equation.
Registro:
Documento: |
Artículo
|
Título: | Phase space path integral in curved space |
Autor: | Ferraro, R.; Lesion, M. |
Filiación: | Instituto de Astronomía, Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
|
Palabras clave: | article; calculation; geometry; model; molecular dynamics; physics; space |
Año: | 2001
|
Volumen: | 16
|
Número: | 31
|
Página de inicio: | 5033
|
Página de fin: | 5042
|
DOI: |
http://dx.doi.org/10.1142/S0217751X01005936 |
Título revista: | International Journal of Modern Physics A
|
Título revista abreviado: | Int. J. Mod. Phys. A
|
ISSN: | 0217751X
|
CODEN: | IMPAE
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v16_n31_p5033_Ferraro |
Referencias:
- DeWitt, B.S., (1957) Rev. Mod. Phys., 29, p. 377
- Morette, C., (1951) Phys. Rev., 81, p. 848
- Cheng, K.S., (1972) J. Math. Phys., 13, p. 1723
- Parker, L., (1979) Phys. Rev., D19, p. 438
- Kuchař, K., (1983) J. Math. Phys., 24, p. 2122
- Whelan, J.T., (1997) Skeletonizations of phase space paths, , gr-qc/9709051
- Ferraro, R., (1992) Phys. Rev., D45, p. 1198
- Ferraro, R., (1999) J. Phys., A32, p. 2589
- Feynman, R.P., Hibbs, A.R., (1965) Quantum Mechanics and Path Integrals, , McGraw-Hill, New York
- Van Vleck, J.H., (1928) Proc. Natl. Acad. Sci. USA, 14, p. 178
- Feynman, R.P., (1948) Rev. Mod. Phys., 20, p. 367
- Schulman, L.S., (1981) Techniques and Applications of Path Integration, , John Wiley, New York
- Misner, C., Thorne, K., Wheeler, J.A., (1973) Gravitation, , Freeman, San Francisco
Citas:
---------- APA ----------
Ferraro, R. & Lesion, M.
(2001)
. Phase space path integral in curved space. International Journal of Modern Physics A, 16(31), 5033-5042.
http://dx.doi.org/10.1142/S0217751X01005936---------- CHICAGO ----------
Ferraro, R., Lesion, M.
"Phase space path integral in curved space"
. International Journal of Modern Physics A 16, no. 31
(2001) : 5033-5042.
http://dx.doi.org/10.1142/S0217751X01005936---------- MLA ----------
Ferraro, R., Lesion, M.
"Phase space path integral in curved space"
. International Journal of Modern Physics A, vol. 16, no. 31, 2001, pp. 5033-5042.
http://dx.doi.org/10.1142/S0217751X01005936---------- VANCOUVER ----------
Ferraro, R., Lesion, M. Phase space path integral in curved space. Int. J. Mod. Phys. A. 2001;16(31):5033-5042.
http://dx.doi.org/10.1142/S0217751X01005936