Abstract
Simple Nonadiabatic Model Hamiltonians are treated in Bargmanns Hilbert space of analytical functions. In this formulation the Schrödinger equation is a system of two first order differential equations for two component wave functions. Algebraic equations for the eigenvalues of particularly simple isolated exact solutions can be found by a standard treatment of the solutions in the neighbourhood of the regular singular points of the system of differential equations.
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Reik, H.G., Kaspar, F. Isolated exact solutions of Simple Nonadiabatic Model Hamiltonians. Z. Physik B - Condensed Matter 51, 77–83 (1983). https://doi.org/10.1007/BF01304047
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DOI: https://doi.org/10.1007/BF01304047