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Motion of Wavefunction Zeros in Spin-Boson Systems

Authors
  • Ellinas, Demosthenes
  • Kovanis, Vassilios
Type
Preprint
Publication Date
Sep 06, 1993
Submission Date
Sep 06, 1993
Identifiers
arXiv ID: hep-th/9309032
Source
arXiv
License
Unknown
External links

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.

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