PHASE SPACE PATH INTEGRAL IN CURVED SPACE-Reference-Cited by-同舟云学术

PHASE SPACE PATH INTEGRAL IN CURVED SPACE

Published:2001-12-20 Issue:31 Volume:16 Page:5033-5042
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

FERRARO RAFAEL¹²,LESTON MAURICIO¹

Affiliation:

1. Instituto de Astronomía, y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina

2. Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X01005936

Reference9 articles.

1. Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles

2. On the Definition and Approximation of Feynman's Path Integrals

3. Quantization of a General Dynamical System by Feynman's Path Integration Formulation

4. Eigenstates, coherent states, and uncertainty products for the Morse oscillator

5. Measure for measure: Covariant skeletonizations of phase space path integrals for systems moving on Riemannian manifolds

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