Motion of Wavefunction Zeros in Spin-Boson Systems

Details Motion of Wavefunction Zeros in Spin-Boson Systems Motion of Wavefunction Zeros in Spin-Boson Systems

1993-09-06

arxiv.org/abs/hep-th/9309032v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages plus 3 figures available upon request, plain LATEX, FTUV/93-13

Scientific paper

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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