The Jacobi principal function in quantum mechanics
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....
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
1999
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| 001 | PAPER-2660 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203207.0 | ||
| 008 | 190411s1999 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0038932499 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Ferraro, R. | |
| 245 | 1 | 4 | |a The Jacobi principal function in quantum mechanics |
| 260 | |c 1999 | ||
| 270 | 1 | 0 | |m Ferraro, R.; Inst. Astronomia y Fis. del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina; email: ferraro@iafe.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a DeWitt, B.S., (1957) Rev. Mod. Phys., 29, p. 377 | ||
| 504 | |a Feynman, R.P., Hibbs, A.R., (1965) Quantum Mechanics and Path Integrals, , New York: McGraw-Hill | ||
| 504 | |a Schulman, L.S., (1981) Techniques and Applications of Path Integration, , New York: Wiley | ||
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| 504 | |a Fiziev, P.P., (1993) Lectures on Path Integration (Trieste, 1991), pp. 556-562. , ed H Cerdeira et al (Singapore: World Scientific) | ||
| 504 | |a Landau, L.D., Lifshitz, E.M., (1959) Mechanics, , Oxford: Pergamon | ||
| 504 | |a Lanczos, C., (1986) The Variational Principles of Mechanics, , New York: Dover | ||
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| 504 | |a Kleinen, H., (1995) Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, , Singapore: World Scientific | ||
| 504 | |a Grosche, C., (1993) An Introduction into the Feynman Path Integral, pp. 14-15. , Preprint hep-th/9302097 | ||
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| 520 | 3 | |a 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. |l eng | |
| 593 | |a Inst. Astronomia y Fis. del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina | ||
| 593 | |a Departamento de Física, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina | ||
| 773 | 0 | |d 1999 |g v. 32 |h pp. 2589-2599 |k n. 13 |p J. Phys. Math. Gen. |x 03054470 |w (AR-BaUEN)CENRE-331 |t Journal of Physics A: Mathematical and General | |
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| 856 | 4 | 0 | |u https://doi.org/10.1088/0305-4470/32/13/010 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03054470_v32_n13_p2589_Ferraro |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v32_n13_p2589_Ferraro |y Registro en la Biblioteca Digital |
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