https://doi.org/10.1051/epjconf/201612505007
Shape invariance and SUSY separation of variables
Saint-Petersburg State University, 198504 St.-Petersburg, Russia
a E-mail: m.ioffe@spbu.ru
b E-mail: e.v.kolev@yandex.ru
c E-mail: vvv@av2467.spb.edu
Published online: 28 October 2016
The main ingredients of conventional Supersymmetrical Quantum Mechanics (SUSY QM) are presented. The generalization with supercharges of second order in derivatives - Second Order SUSY - is formulated, and the property of shape invariance is defined. The generalization to two-dimensional coordinate space, after using just these two elements of the modern SUSY QM approach, provides the opportunity to solve analytically some two-dimensional problems. Two different procedures of supersymmetrical separation of variables are formulated. They are illustrated by two-dimensional generalization of the Morse model.
© The Authors, published by EDP Sciences, 2016
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