Nonperturbative Time-Independent Green Function of Matrix Schrödinger Equation. General Formalism and Quasiclassical Representation |
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Authors: | Alexander I Pegarkov |
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Institution: | (1) Chemical Physics Theory Group, University of Toronto, Toronto, Ontario, Canada;(2) Voronezh State University, Voronezh, Russia |
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Abstract: | A Green function of time-independent multichannel Schrödinger equation is considered in matrix representation beyond a perturbation theory. Nonperturbative Green functions are obtained through the regular in zero and at infinity solutions of the multichannel Schrödinger equation for different cases of symmetry of the full Hamiltonian. The spectral expansions for the nonperturbative Green functions are obtained in simple form through multichannel wave functions. The developed approach is applied to obtain simple analytic equations for the Green functions and transition matrix elements for compound multipotential system within quasiclassical approximation. The limits of strong and weak interchannel interactions are studied.Alexander I. Pegarkov:On leave from Physics Faculty |
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Keywords: | Green function Schrö dinger equation nonperturbative theory |
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