Letters in Mathematical Physics

, Volume 85, Issue 2, pp 173-183

First online:

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

  • Maurice De GossonAffiliated withFakultät für Mathematik, NuHAG, Universität Wien Email author 
  • , Franz LuefAffiliated withFakultät für Mathematik, NuHAG, Universität Wien

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.