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math-ph2012
Supersymmetric structures for second order differential operators
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
Necessary and sufficient conditions are obtained for a real semiclassical partial differential operator of order two to possess a supersymmetric structure. For the operator coming…
math-ph2012★ 25 cited
Quadratic PT-symmetric operators with real spectrum and similarity to self-adjoint operators
Emanuela Caliceti, Sandro Graffi, Michael Hitrik +1
It is established that a PT-symmetric elliptic quadratic differential operator with real spectrum is similar to a self-adjoint operator precisely when the associated fundamental ma…