Factorization of supersymmetric Hamiltonians in curvilinear coordinates

Details Factorization of supersymmetric Hamiltonians in curvilinear coordinates Factorization of supersymmetric Hamiltonians in curvilinear coordinates

2012-02-11

arxiv.org/abs/1202.2457v1

Journal of Physics: Conference Series 343 (2012) 012040

Physics

Mathematical Physics

13 pages. Based on the talk presented by M.A. Gonzalez Leon at the 7th International Conference on Quantum Theory and Symmetri

Scientific paper

10.1088/1742-6596/343/1/012040

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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