Friday, February 3, 2012

1111.3039 (M. V. Ioffe et al.)

Analytical Solution of Two-Dimensional Scarf II Model by Means of SUSY

M. V. Ioffe, E. V. Krupitskaya, D. N. Nishnianidze
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.
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