A new approach to the star-genvalue equation

Details A new approach to the star-genvalue equation A new approach to the star-genvalue equation

2008-08-04

arxiv.org/abs/0808.0489v1

Physics

Mathematical Physics

will appear in Lett. Math. Phys. in a slightly shorter version

Scientific paper

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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