Artículo
Abstract:
The canonical functional action in the path integral in phase space is discretized by linking each pair of consecutive vertebral points - qk and pk+1 or pk and qk+1 - through the invariant complete solution of the Hamilton-Jacobi equation associated with the classical path defined by these extremes. When the measure is chosen to reflect the geometrical character of the propagator (it must behave as a density of weight 1/2 in both of its arguments), the resulting infinitesimal propagator is cast in the form of an expansion in a basis of short-time solutions of the wave equation, associated with the eigenfunctions of the initial momenta canonically conjugated to a set of normal coordinates. The operator ordering induced by this prescription is a combination of a symmetrization rule coming from the phase, and a derivative term coming from the measure.
Registro:
| Documento: | Artículo |
| Título: | The Jacobi principal function in quantum mechanics |
| Autor: | Ferraro, R. |
| Filiación: | Inst. Astronomia y Fis. del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina Departamento de Física, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina |
| Año: | 1999 |
| Volumen: | 32 |
| Número: | 13 |
| Página de inicio: | 2589 |
| Página de fin: | 2599 |
| DOI: | http://dx.doi.org/10.1088/0305-4470/32/13/010 |
| Título revista: | Journal of Physics A: Mathematical and General |
| Título revista abreviado: | J. Phys. Math. Gen. |
| ISSN: | 03054470 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v32_n13_p2589_Ferraro |
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Citas:
---------- APA ----------
(1999) . The Jacobi principal function in quantum mechanics. Journal of Physics A: Mathematical and General, 32(13), 2589-2599.http://dx.doi.org/10.1088/0305-4470/32/13/010
---------- CHICAGO ----------
Ferraro, R. "The Jacobi principal function in quantum mechanics" . Journal of Physics A: Mathematical and General 32, no. 13 (1999) : 2589-2599.http://dx.doi.org/10.1088/0305-4470/32/13/010
---------- MLA ----------
Ferraro, R. "The Jacobi principal function in quantum mechanics" . Journal of Physics A: Mathematical and General, vol. 32, no. 13, 1999, pp. 2589-2599.http://dx.doi.org/10.1088/0305-4470/32/13/010
---------- VANCOUVER ----------
Ferraro, R. The Jacobi principal function in quantum mechanics. J. Phys. Math. Gen. 1999;32(13):2589-2599.http://dx.doi.org/10.1088/0305-4470/32/13/010
