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PT -symmetric harmonic oscillators

Miloslav Znojil
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Abstract

Within the framework of the recently proposed formalism using non-hermitean Hamiltonians constrained merely by their PT invariance we describe a new exactly solvable family of the harmonic-oscillator-like potentials with non-equidistant spectrum. Our one-dimensional superposition of the harmonic x^2 with the centrifugal-like G/x^2 is regularized by a purely imaginary shift of $x$.

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Miloslav Znojil. 1999-05-07. PT -symmetric harmonic oscillators. https://doi.org/10.1016/s0375-9601(99)00429-6

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