Exact solution for Morse oscillator in PT-symmetric quantum mechanics

Abstract

The recently proposed PT-symmetric quantum mechanics works with complex potentials which possess, roughly speaking, a symmetric real part and an anti-symmetric imaginary part. We propose and describe a new exactly solvable model of this type. It is defined as a specific analytic continuation of the shape-invariant potential of Morse. In contrast to the latter well-known example, all the new spectrum proves real, discrete and bounded below. All its three separate subsequences are quadratic in n.

8 pages, submitted to Phys. Lett. A

References in corpus (1)

• Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable

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