Letters in Mathematical Physics

, Volume 85, Issue 2, pp 173–183

A New Approach to the \({\ast}\) -Genvalue Equation


DOI: 10.1007/s11005-008-0261-8

Cite this article as:
Gosson, M.D. & Luef, F. Lett Math Phys (2008) 85: 173. doi:10.1007/s11005-008-0261-8


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.

Mathematics Subject Classification (2000)

47G30 81S10 


Moyal product star-genvalue equation Wigner transform Weyl operator. 

Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Fakultät für Mathematik, NuHAGUniversität WienViennaAustria

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