Motion of the wave-function zeros in spin-boson systems

Demosthenes Ellinas, Vassilios Kovanis

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In the analytic Bargmann representation associated with the harmonic oscillator and spin coherent states, the wave functions considered as consisting of entire complex functions can be factorized in terms of their zeros in a unique way. The Schrödinger equation of motion for the wave function is turned to a system of equations for the zeros of the wave function. The motion of these zeros as a nonlinear flow of points is studied and interpreted for linear and nonlinear bosonic and spin Hamiltonians. Attention is given to the study of the zeros of the Jaynes-Cummings model and to its finite analog. Numerical solutions are derived and dicussed.

Original languageEnglish
Pages (from-to)4230-4239
Number of pages10
JournalPhysical Review A
Volume51
Issue number5
DOIs
Publication statusPublished - Jan 1 1995

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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