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arXiv · hep-th/9309032

Motion of Wavefunction Zeros in Spin-Boson Systems

Demosthenes Ellinas·Vassilios Kovanis
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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 Schrödinger 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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Demosthenes Ellinas, Vassilios Kovanis. 1993-09-06. Motion of Wavefunction Zeros in Spin-Boson Systems. https://arxiv.org/abs/hep-th/9309032

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