Steep expulsive potentials in 1D and 2D Schrödinger equations support continuous spectra of normalizable bound states, including even/odd states in 1D and vortex states in 2D.
I., Walther V., and Hung C.-L.; Coll apse of a Quantum Vortex in an Attractive Two-Dimensional Bose Ga s, Phys
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The continuous spectrum of bound states in expulsive potentials
Steep expulsive potentials in 1D and 2D Schrödinger equations support continuous spectra of normalizable bound states, including even/odd states in 1D and vortex states in 2D.