A New Approach to the {ast} -Genvalue Equation |
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Authors: | Maurice De Gosson Franz Luef |
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Affiliation: | 1. Fakult?t für Mathematik, NuHAG, Universit?t Wien, Nordbergstrasse 15, 1090, Vienna, Austria
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Abstract: | We show that the eigenvalues and eigenfunctions of the star-genvalue equation can be completely expressed in terms of the corresponding eigenvalue problem for the quantum Hamiltonian. Our methods make use of a Weyl-type representation of the star-product and of the properties of the cross-Wigner transform, which appears as an intertwining operator. |
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