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A new approach to the star-genvalue equation
classification
🧮 math-ph
math.MP
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equationappearsapproachcompletelycorrespondingcross-wignereigenfunctionseigenvalue
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We show that the eigenvalues and eigenfunctions of the stargenvalue equation can be completely expressed in terms of the corresponding eigenvalue problem for the quantum Hamiltonian. Our method makes 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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