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Journal of Mathematical Physics

SU(2) and SU(1,1) time-ordering theorems and Bloch-type equations

G. Dattoli, A. Torre

Published Mar 1, 1987• 17 citations
Publisher

Abstract

Algebraic time-ordering techniques for SU (2) and SU (1,1) coherence preserving Hamiltonians are reviewed. The link with Bloch-type equations is pointed out and the extension of the method to higher groups is briefly discussed.
DOI
10.1063/1.527648

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In this work we discuss the problems underlying the time evolution of states driven by SU(2) and SU(1,1) coherence-preserving Hamiltonians, using the Wei-Norman algebraic procedure. We also solve the problem of finding the explicit time evolution of a quantum system whose Hamiltonian is a time-dependent linear combination of the SU(1,1) group generators and those of the Weyl-Heisenberg algebra. The relevance of this Hamiltonian to the generation of antibunched radiation in a laser-plasma scattering experiment is also briefly analyzed.