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Application of supersymmetry to a coupled system of equations: The concept of a superpotential matrix
B CHAKRABARTI,
Published in IOP PUBLISHING LTD
1999
Volume: 32
   
Issue: 12
Pages: 2387 - 2394
Abstract
We apply supersymmetric quantum mechanics (SUSY QM) to multidimensional Schrödinger equations involving nonseparable potentials, which result in a system of coupled differential equations, where instead of the conventional definition of a scalar superpotential we introduce a superpotential matrix and succeed in applying SUSY QM to the coupled system. Finally, we discuss the shape-invariance condition for the potential matrix of such a system.
About the journal
JournalData powered by TypesetJournal of Physics A: Mathematical and General
PublisherData powered by TypesetIOP PUBLISHING LTD
ISSN0305-4470