Znojil, Miloslav \(\mathcal P\mathcal T\)-symmetric harmonic oscillators. (English) Zbl 0948.81535 Phys. Lett., A 259, No. 3-4, 220-223 (1999). Summary: 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. Cited in 1 ReviewCited in 45 Documents MSC: 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 81Q15 Perturbation theories for operators and differential equations in quantum theory PDFBibTeX XMLCite \textit{M. Znojil}, Phys. Lett., A 259, No. 3--4, 220--223 (1999; Zbl 0948.81535) Full Text: DOI arXiv References: [1] D. Bessis, private communication, 1992.; D. Bessis, private communication, 1992. [2] Bender, C. M.; Boettcher, S., Phys. Rev. Lett., 24, 5243 (1988) [3] E. Caliceti, S. Graffi, M. Maioli, Commun. Math. 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