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arxiv: 1204.6605 · v2 · pith:VXN57U76new · submitted 2012-04-30 · 🧮 math-ph · math.MP· quant-ph

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

classification 🧮 math-ph math.MPquant-ph
keywords operatoroperatorspt-symmetricquadraticrealself-adjointspectrumassociated
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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.

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