Analytical Solution of Two-Dimensional Scarf II Model by Means of SUSY Methods
High Energy Physics - Theory
2015-06-03 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
New two-dimensional quantum model - the generalization of the Scarf II - is completely solved analytically for the integer values of parameter. This model being not amenable to conventional procedure of separation of variables is solved by recently proposed method of supersymmetrical separation. The latter is based on two constituents of SUSY Quantum Mechanics: the intertwining relations with second order supercharges and the property of shape invariance. As a result, all energies of bound states were found, and the analytical expressions for corresponding wave functions were obtained.
Keywords
Cite
@article{arxiv.1111.3039,
title = {Analytical Solution of Two-Dimensional Scarf II Model by Means of SUSY Methods},
author = {M. V. Ioffe and E. V. Krupitskaya and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:1111.3039},
year = {2015}
}
Comments
18 pages; two misprints were improved