Eur. Phys. J. D 11, 13-23 (2000)
https://doi.org/10.1007/s100530070100

Quantum dynamics of a generalized Coleman-Hepp model

Graduate School of Humanities and Sciences, Ochanomizu University, Tokyo 112-8610, Japan and Department of Physics, Faculty of Science, Ochanomizu University, Tokyo 112-8610, Japan

Received: 24 August 1999
Published online: 15 July 2000

Abstract

Studies on a generalized Coleman-Hepp model are done on the basis of a spin coherent state representation and a transformation property of the model Hamiltonian. Namely, transforming the original model Hamiltonian into a simpler form, we can determine time evolution of the whole system by successive applications of rotation operators in a spinor space. Dynamics of detector spins as well as that of an incident particle are fully discussed. Explicit numerical evaluations are also performed. Relevance of our solution to a generalized Cini model is also briefly mentioned.