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arXiv · 1607.06950

Scattering off PT-symmetric upside-down potentials

Carl M. Bender·Mariagiovanna Gianfreda
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Abstract

The upside-down $-x^4$, $-x^6$, and $-x^8$ potentials with appropriate PT-symmetric boundary conditions have real, positive, and discrete quantum-mechanical spectra. This paper proposes a straightforward macroscopic quantum-mechanical scattering experiment in which one can observe and measure these bound-state energies directly.

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Carl M. Bender, Mariagiovanna Gianfreda. 2016-07-23. Scattering off PT-symmetric upside-down potentials. https://doi.org/10.1103/physreva.98.052118

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