Motion of Wavefunction Zeros in Spin-Boson Systems
High Energy Physics - Theory
2008-02-03 v1 chao-dyn
Condensed Matter
Chaotic Dynamics
Abstract
In the analytic-Bargmann representation associated with the harmonic oscillator and spin coherent states, the wavefunction as entire complex functions can be factorized in terms of their zeros in a unique way. The Schr\"odinger equation of motion for the wavefunction is turned to a system of equations for its zeros. The motion of these zeros as a non-linear flow of points is studied and interpreted for linear and non-linear bosonic and spin Hamiltonians. Attention is given to the study of the zeros of the Jaynes-Cummings model and to its finite analoque. Numerical solutions are derived and discussed.
Cite
@article{arxiv.hep-th/9309032,
title = {Motion of Wavefunction Zeros in Spin-Boson Systems},
author = {Demosthenes Ellinas and Vassilios Kovanis},
journal= {arXiv preprint arXiv:hep-th/9309032},
year = {2008}
}
Comments
19 pages plus 3 figures available upon request, plain LATEX, FTUV/93-13