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Abstract:

It is well known that - differing from ordinary gauge systems - canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge system. It is shown how to build a canonical transformation such that the fixation of the new coordinates is equivalent to the fixation of the original ones; this aim can be achieved only if the Hamiltonian constraint allows for an intrinsic global time. Thus the resulting action, describing an ordinary gauge system and allowing for canonical gauges, can be used in the path integral for the quantum propagator associated with the original variables. © 1997 American Institute of Physics.

Registro:

Documento: Artículo
Título:Canonical gauges in the path integral for parametrized systems
Autor:Ferraro, R.; Simeone, C.
Filiación:Departamento de Física, Universidad de Buenos Aires, Cd. Universitaria-Pabellón I, 1428 Buenos Aires, Argentina
Inst. Astronomia y Fis. del Espacio, Casilla de Correo 67-Sucursal 28, 1428 Buenos Aires, Argentina
Año:1997
Volumen:38
Número:2
Página de inicio:599
Página de fin:610
DOI: http://dx.doi.org/10.1063/1.532006
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v38_n2_p599_Ferraro.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v38_n2_p599_Ferraro

Referencias:

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  • Henneaux, M., Teitelboim, C., (1992) Quantization of Gauge Systems, , Princeton University Press, Princeton, NJ
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  • Lanczos, C., (1986) The Variational Principle of Mechanics, , Dover, New York
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  • Dirac, P.A.M., (1964) Lectures on Quantum Mechanics, , Belfer Graduate School of Science, Yeshiva University, New York
  • Kuchař, K.V., (1992) Proceedings of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, , edited by G. Kunstatter, D. Vincent, and J. Williams World Scientific, Singapore
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Citas:

---------- APA ----------
Ferraro, R. & Simeone, C. (1997) . Canonical gauges in the path integral for parametrized systems. Journal of Mathematical Physics, 38(2), 599-610.
http://dx.doi.org/10.1063/1.532006
---------- CHICAGO ----------
Ferraro, R., Simeone, C. "Canonical gauges in the path integral for parametrized systems" . Journal of Mathematical Physics 38, no. 2 (1997) : 599-610.
http://dx.doi.org/10.1063/1.532006
---------- MLA ----------
Ferraro, R., Simeone, C. "Canonical gauges in the path integral for parametrized systems" . Journal of Mathematical Physics, vol. 38, no. 2, 1997, pp. 599-610.
http://dx.doi.org/10.1063/1.532006
---------- VANCOUVER ----------
Ferraro, R., Simeone, C. Canonical gauges in the path integral for parametrized systems. J. Math. Phys. 1997;38(2):599-610.
http://dx.doi.org/10.1063/1.532006