Inverse quantum mechanics problem for potentials with λx^{2} singularities
Abstract
Using a onedimensional oscillator with a λx^{2}singular potential as an example, a method of solving an inverse problem of quantum mechanics with the same singularity of the potential is given. A nontrivial form of corrections to the potential due to a change in the spectral parameters is found.
 Publication:

Soviet Physics Journal
 Pub Date:
 September 1991
 DOI:
 10.1007/BF00896713
 Bibcode:
 1991SvPhJ..34..790G