Scattering off PT-symmetric upside-down potentials
classification
🪐 quant-ph
hep-thmath-phmath.MP
keywords
potentialspt-symmetricquantum-mechanicalscatteringupside-downappropriatebound-stateboundary
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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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