Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane
arXiv:1608.07379 · doi:10.1063/1.4960473
Abstract
Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space. For intertwining operators (supercharges) of second order in derivatives the intertwined Hamiltonians correspond to completely integrable systems with the symmetry operators of fourth order in momenta. In terms of components, the itertwining relations correspond to the system of nonlinear differential equations which are solvable with the simplest - constant - ansatzes for the "metric" matrix in second order part of the supercharges. The corresponding potentials are built explicitly both for diagonalizable and nondiagonalizable form of "metric" matrices, and their properties are discussed.
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References in corpus (9)
- Group theoretical approach to the intertwined Hamiltonians
- New Two-Dimensional Integrable Quantum Models from SUSY Intertwining
- Intertwining symmetry algebras of quantum superintegrable systems on the hyperboloid
- New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
- Follytons and the Removal of Eigenvalues for Fourth Order Differential Operators
- Intertwining Symmetry Algebras of Quantum Superintegrable Systems
- Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force
- Factorization Method in Curvilinear Coordinates and Pairing of Levels for Matrix Potentials
- Factorization of supersymmetric Hamiltonians in curvilinear coordinates