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arxiv: quant-ph/0003085 · v1 · submitted 2000-03-20 · 🪐 quant-ph · math-ph· math.MP

PT-symmetric sextic potentials

classification 🪐 quant-ph math-phmath.MP
keywords potentialspt-symmetricsexticcaseschoicecomplexdiscreteeigenvalues
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The family of complex PT-symmetric sextic potentials is studied to show that for various cases the system is essentially quasi-solvable and possesses real, discrete energy eigenvalues. For a particular choice of parameters, we find that under supersymmetric transformations the underlying potential picks up a reflectionless part.

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