Utility of su(1,1)-Algebra in a Schematic Nuclear su(2)-Model
Nuclear Theory
2009-11-07 v1
Abstract
The su(2)-algebraic model interacting with an environment is investigated from a viewpoint of treating the dissipative system. By using the time-dependent variational approach with a coherent state and with the help of the canonicity condition, the time-evolution of this quantum many-body system is described in terms of the canonical equations of motion in the classical mechanics. Then, it is shown that the su(1,1)-algebra plays an essential role to deal with this model. An exact solution with appropriate initial conditions is obtained by means of Jacobi's elliptic function. The implication to the dissipative process is discussed.
Keywords
Cite
@article{arxiv.nucl-th/0102014,
title = {Utility of su(1,1)-Algebra in a Schematic Nuclear su(2)-Model},
author = {H. Akaike and Y. Tsue and C. Providencia and J. da Providencia and A. Kuriyama and M. Yamamura},
journal= {arXiv preprint arXiv:nucl-th/0102014},
year = {2009}
}
Comments
14 pages using PTPTeX.sty