Paths of zeros of analytic functions describing finite quantum systems
Quantum Physics
2016-02-17 v1 Mathematical Physics
math.MP
Abstract
Quantum systems with positions and momenta in Z(d), are described by the d zeros of analytic functions on a torus. The d paths of these zeros on the torus, describe the time evolution of the system. A semi-analytic method for the calculation of these paths of the zeros, is discussed. Detailed analysis of the paths for periodic systems, is presented. A periodic system which has the displacement operator to a real power t, as time evolution operator, is studied. Several numerical examples, which elucidate these ideas, are presented.
Keywords
Cite
@article{arxiv.1601.06586,
title = {Paths of zeros of analytic functions describing finite quantum systems},
author = {H. Eissa and P. Evangelides and C. Lei and A. Vourdas},
journal= {arXiv preprint arXiv:1601.06586},
year = {2016}
}