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 matrix has no Jordan blocks.
E.Caliceti, S.Graffi, M.Hitrik, J.Sjoestrand (2012). Quadratic PT -symmetric operators with real spectrum and similarity to self-adjoint operators. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45, 444007-444027 [10.1088/1751-8113/45/44/444007].
Quadratic PT -symmetric operators with real spectrum and similarity to self-adjoint operators
CALICETI, EMANUELA;GRAFFI, SANDRO;
2012
Abstract
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 matrix has no Jordan blocks.File in questo prodotto:
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