Path Integrals and Scattering Theory in Nonrelativistic Stochastic Quantum Mechanics.

Масуд Чайчиан, Andrey P. Demichev

Eric A. Carlen

R. Gagnon

It is shown that path integration can be formulated rigorously in stochastic phase spaces by means of Riemann-Stiltjes methods. The relationship of this formulation to the conventional Feynman path integration formulation in configuration representation is examined.

Marcelo M. Lapola

One of the alternative approaches used in quantum mechanics and quantum field theory, which takes the most advanced developments in the area, such as string theory, is to use the formalism of path-integrals . A path-integral is an efficient way to calculate scattering amplitudes of a transition from one quantum state to another. In this work are presented some essential ideas about the path-integrals, applications in ordinary quantum mechanics (nonrelativistic) and then to base the rules of Feynman for interactions between particles in quantum field theory, with some deductions to generating funcionals for scattering amplitudes in free field and in the presence of interactions fields

R. Rosenfelder

Starting from well-known expressions for the T-matrix and its derivative in standard nonrelativistic potential scattering, I rederive recent path-integral formulations due to Efimov and Barbashov et al. Some new relations follow immediately.

Andreas Wipf