Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-26
J.Phys.A37:10363-10374,2004
Physics
High Energy Physics
High Energy Physics - Theory
Based on a talk given at the International Conference "Progress in Supersymmetric Quantum Mechanics",Valladolid (Spain),July 1
Scientific paper
10.1088/0305-4470/37/43/023
Different ways to incorporate two-dimensional systems, which are not amenable to separation of variables, into the framework of Supersymmetrical Quantum Mechanics (SUSY QM) are analyzed. In particular, the direct generalization of one-dimensional Witten's SUSY QM is based on the supercharges of first order in momenta and allows to connect the eigenvalues and eigenfunctions of two scalar and one matrix Schr\"odinger operators. The use of second order supercharges leads to polynomial supersymmetry and relates a pair of scalar Hamiltonians, giving a set of such partner systems with almost coinciding spectra. This class of systems can be studied by means of new method of $SUSY-$separation of variables, where supercharges {\bf allow} separation of variables, but Hamiltonians {\bf do not}. The method of shape invariance is generalized to two-dimensional models to construct purely algebraically a chain of eigenstates and eigenvalues for generalized Morse potential models in two dimensions.
No associations
LandOfFree
SUSY-Approach for Investigation of Two-Dimensional Quantum Mechanical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with SUSY-Approach for Investigation of Two-Dimensional Quantum Mechanical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SUSY-Approach for Investigation of Two-Dimensional Quantum Mechanical Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-79057