Algebraic Structure of a Master Equation with Generalized Lindblad Form
Quantum Physics
2015-05-13 v1 Mathematical Physics
math.MP
Abstract
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 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.
Cite
@article{arxiv.0802.3252,
title = {Algebraic Structure of a Master Equation with Generalized Lindblad Form},
author = {Kazuyuki Fujii},
journal= {arXiv preprint arXiv:0802.3252},
year = {2015}
}
Comments
Latex ; 10 pages ; no figure