Treatment of Tunneling Process by Coherent State Path Integral

Masa‐aki Sakagami

Anedio Ranfagni, Daniela Mugnai, R. Englman

Hiroshi Kuratsuji, Yutaka Mizobuchi

Starting with path integrals in the SU(2) coherent state representation, the semiclassical approximation of the propagator for the spin system is investigated. By extending the idea of the semiclassical expansion method, which was developed in the usual phase-space path integrals, to the path integrals in the curved phase space, which is characteristic of the SU(2) coherent states, we obtain a closed form for the semiclassical propagator. As an application, we discuss the semiclassical quantization condition for the spin system.

Chon‐Fai Kam, Wei-Min Zhang, D.H. Feng

Paolo Moretti, Anedio Ranfagni, Paolo Levi Sandri

A model based on a statistical method, as deduced from a path-integral treatment of the Brownian motion proposed by Feynman and Hibbs in 1965, demonstrates to be capable of interpreting the results of delay time measurements in frustrated total internal reflection experiments at an optical and microwave scale. A plausible description of the trajectories followed by the system inside the tunneling region, the air gap between the two dielectric prisms, is given.