Authors: Spiros Konstantogiannis
Starting with a general rational wave function, we search for potentials admitting it as a bound energy eigenfunction. We thus derive singular and regular potentials asymptotically decaying as the inverse of x squared, with the latter being simple or multiple volcanoes having a finite number of bound eigenstates. We present specific examples and examine the transition from singular to volcano potentials.
Comments: 40 Pages.
[v1] 2018-03-22 10:30:01
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