Algebraic Structure of a Master Equation with Generalized Lindblad Form

Details Algebraic Structure of a Master Equation with Generalized Lindblad Form Algebraic Structure of a Master Equation with Generalized Lindblad Form

2008-02-22

arxiv.org/abs/0802.3252v1

Int. J. Geom. Meth. Mod. Phys. 5(2008) 1033-1040

Physics

Quantum Physics

Latex ; 10 pages ; no figure

Scientific paper

The quantum damped harmonic oscillator is described by the master equation with usual Lindblad form. The equation has been solved completely by us in arXiv : 0710.2724 [quant-ph]. To construct the general solution a few facts of representation theory based on the Lie algebra $su(1,1)$ were used. In this paper we treat a general model described by a master equation with generalized Lindblad form. Then we examine the algebraic structure related to some Lie algebras and construct the interesting approximate solution.

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