2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry

Details 2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry 2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry

2000-05-16

arxiv.org/abs/math-ph/0005019v1

Physics

Mathematical Physics

24 Pages

Scientific paper

Via a special dimensional reduction, that is, Fourier transforming over one of the coordinates of Casimir operator of su(2) Lie algebra and 4-oscillator Hamiltonian, we have obtained 2 and 3 dimensional Hamiltonian with shape invariance symmetry. Using this symmetry we have obtained their eigenspectrum. In the mean time we show equivalence of shape invariance symmetry and Lie algebraic symmetry of these Hamiltonians.

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