Exact solutions of a spectral problem for the schrödinger differential operator with polynomial potential in R2
DOI:
https://doi.org/10.15407/dopovidi2017.01.003Keywords:
exact eigenvalues, expontially convergent method, Hermite polynomials, Schrödinger operator, spectral problemAbstract
The essentially two-dimensional case of the Schrödinger operator with polynomial potential is considered for the first time. Using the FD-method and the Maple computer algebra system, we found four of six lowest eigenvalues for a fixed form of the potential.
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