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
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.
PACS: 03.65.-w – Quantum mechanics / 03.65.Bz – Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) / 05.30.-d – Quantum statistical mechanics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
