Path-integral representations for a scalar particle propagator in non-Abelian external backgrounds are derived. To this aim, we generalize the procedure proposed by Gitman and Schvartsman of path-integral construction to ...

It is a well known result that the Feynman's path integral (FPI) approach to quantum mechanics is equivalent to Schrodinger's equation when we use as integration measure the Wiener-Lebesgue measure. This results in little ...

It is a well known result that the Feynman's path integral (FPI) approach to quantum mechanics is equivalent to Schrodinger's equation when we use as integration measure the Wiener-Lebesgue measure. This results in little ...

Phase space path integral is worked out in a Riemannian geometry, by employing a prescription for the innitesimal propagator that takes Riemann normal coordinates and momenta on an equal footing. The operator ordering ...

We recall our approach through discretizations for path integrals and its general results for representations of probability densities. It is shown that the result of Arnold @P. Arnold, Phys. Rev. E 61, 6099 ~2000!# is ...

In this paper we present a stepwise construction of the path integral over relativistic orbits in Euclidean space-time. It is shown that the apparent problems of this path integral, like the breakdown of the naive ...