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arXiv · 1202.2457

Factorization of supersymmetric Hamiltonians in curvilinear coordinates

M. A. Gonzalez Leon·J. Mateos Guilarte·M. de la Torre Mayado
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Abstract

Planar supersymmetric quantum mechanical systems with separable spectral problem in curvilinear coordinates are analyzed in full generality. We explicitly construct the supersymmetric extension of the Euler/Pauli Hamiltonian describing the motion of a light particle in the field of two heavy fixed Coulombian centers. We shall also show how the SUSY Kepler/Coulomb problem arises in two different limits of this problem: either, the two centers collapse in one center - a problem separable in polar coordinates -, or, one of the two centers flies to infinity - to meet the Coulomb problem separable in parabolic coordinates.

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M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado. 2012-02-11. Factorization of supersymmetric Hamiltonians in curvilinear coordinates. https://doi.org/10.1088/1742-6596/343/1/012040

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