Exact and approximate solutions of spectral problems for the Schrödinger operator on (−∞,∞) with polynomial potential

  • V. L. Makarov


New exact representations for the solutions of numerous one-dimensional spectral problems for the Schr¨odinger operator with polynomial potential are obtained by using a technique based on the functional-discrete (FD) method. In cases where the ordinary FD-method is divergent, we propose to use its modification, which proved to be quite efficient. The obtained theoretical results are illustrated by numerical examples.
How to Cite
MakarovV. L. “Exact and Approximate Solutions of Spectral Problems for the Schrödinger operator on (−∞,∞) With Polynomial Potential”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 1, Jan. 2018, pp. 79-93, http://umj.imath.kiev.ua/index.php/umj/article/view/1543.
Research articles