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The upside-down $-x^4$, $-x^6$, and $-x^8$ potentials with appropriatePT-symmetric boundary conditions have real, positive, and discretequantum-mechanical spectra. This paper proposes a straightforward macroscopicquantum-mechanical scattering experiment in which one can observe and measurethese bound-state energies directly.

Scattering off PT-symmetric upside-down potentials