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Abstract:

Gauge invariance of systems whose Hamilton-Jacobi equation is separable is improved by adding surface terms to the action functional. The general form of these terms is given for some complete solutions of the Hamilton-Jacobi equation. The procedure is applied to the relativistic particle and toy universes, which are quantized by imposing canonical gauge conditions in the path integral; in the case of empty models, we first quantize the parametrized system called "ideal clock," and then we examine the possibility of obtaining the amplitude for the minisuperspaces by matching them with the ideal clock. The relation existing between the geometrical properties of the constraint surface and the variables identifying the quantum states in the path integral is discussed.

Registro:

Documento: Artículo
Título:Gauge invariance of parametrized systems and path integral quantization
Autor:De Cicco, H.; Simeone, C.
Filiación:Centro Atómico Constituyentes, Comn. Nac. de Ener. Atómica, Av. del Libertador, 8250-1429 Buenos Aires, Argentina
Departamento de Física, Comn. Nac. de Ener. Atómica, Av. del Libertador, 8250-1429 Buenos Aires, Argentina
Departamento de Física, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I-1428, Buenos Aires, Argentina
Año:1999
Volumen:14
Número:32
Página de inicio:5105
Página de fin:5120
DOI: http://dx.doi.org/10.1142/S0217751X99002414
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_v14_n32_p5105_DeCicco

Referencias:

  • Dirac, P.A.M., (1964) Lectures on Quantum Mechanics, , Belfer Graduate School of Science, Yeshiva University, New York
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Citas:

---------- APA ----------
De Cicco, H. & Simeone, C. (1999) . Gauge invariance of parametrized systems and path integral quantization. International Journal of Modern Physics A, 14(32), 5105-5120.
http://dx.doi.org/10.1142/S0217751X99002414
---------- CHICAGO ----------
De Cicco, H., Simeone, C. "Gauge invariance of parametrized systems and path integral quantization" . International Journal of Modern Physics A 14, no. 32 (1999) : 5105-5120.
http://dx.doi.org/10.1142/S0217751X99002414
---------- MLA ----------
De Cicco, H., Simeone, C. "Gauge invariance of parametrized systems and path integral quantization" . International Journal of Modern Physics A, vol. 14, no. 32, 1999, pp. 5105-5120.
http://dx.doi.org/10.1142/S0217751X99002414
---------- VANCOUVER ----------
De Cicco, H., Simeone, C. Gauge invariance of parametrized systems and path integral quantization. Int. J. Mod. Phys. A. 1999;14(32):5105-5120.
http://dx.doi.org/10.1142/S0217751X99002414