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arxiv: 1502.02694 · v2 · pith:QSAFMOPCnew · submitted 2015-02-04 · 🪐 quant-ph

Non-Hermitian Hamiltonians and similarity transformations

Francisco M. Fern\'andez This is my paper
classification 🪐 quant-ph
keywords non-hermitiansimilaritytransformationsadditionauthorsconnectionconsiderconstruct
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We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operators with real spectrum. In this way we can also prove and generalize the results obtained by other authors by means of a gauge-like transformation and its generalization. Such similarity transformations also reveal the connection with pseudo-Hermiticity in a simple and straightforward way. In addition to it we consider the positive and negative eigenvalues of a three-parameter non-Hermitian oscillator.

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