Canonical form of the Evolution Operator of a Time-Dependent Hamiltonian in the Three Level System

Details Canonical form of the Evolution Operator of a Time-Dependent Hamiltonian in the Three Level System Canonical form of the Evolution Operator of a Time-Dependent Hamiltonian in the Three Level System

2010-08-27

arxiv.org/abs/1008.4624v1

Int. J. Geom. Meth. Mod. Phys. 8(2011) 647-655

Physics

Mathematical Physics

Latex 10 pages; no figure

Scientific paper

In this paper we study the evolution operator of a time-dependent Hamiltonian
in the three level system. The evolution operator is based on $SU(3)$ and its
dimension is $8$, so we obtain three complex Riccati differential equations
interacting with one another (which have been obtained by Fujii and Oike) and
two real phase equations. This is a canonical form of the evolution operator.

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