Quadratic PT-symmetric operators with real spectrum and similarity to self-adjoint operators

Emanuela Caliceti, Sandro Graffi, Michael Hitrik, Johannes Sjoestrand

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.

http://arxiv.org/abs/1204.6605
Mathematical Physics (math-ph); Quantum Physics (quant-ph)

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