Another bunch of superpotentials in terms of a master function
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Publication:1569495
DOI10.1016/S0375-9601(99)00873-7zbMath0941.81053MaRDI QIDQ1569495
Publication date: 3 July 2000
Published in: Physics Letters. A (Search for Journal in Brave)
wavefunctionsshape invariancemaster functionbunch of superpotentialsmain quantum numberquantum solvable systemsunitary parasupersymmetry algebra
Exactly and quasi-solvable systems arising in quantum theory (81U15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60)
Related Items (6)
ON THE GENERALIZED UNITARY PARASUPERSYMMETRY ALGEBRA OF BECKERS–DEBERGH ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order ⋮ Exact solution of the curved Dirac equation in polar coordinates: master function approach ⋮ Exact solution of the Dirac equation for a spin-12 charged particle in two-dimensional and three-dimensional Euclidean spaces with shape invariance symmetry ⋮ New quantum solvable models on the homogeneous manifold \(SL(2,c)/GL(1,c)\) with infinite-fold degeneracy ⋮ Relations between 1D shape invariant potentials and the commutation relations of the Lie algebra sl\((2,\mathbb{C})\)
Cites Work
- Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
- Supersymmetry and shape invariance in differential equations of mathematical physics.
- HIGHER ORDER PARASUPERSYMMETRIC QUANTUM MECHANICS
- Dynamical parasuperalgebras of parasupersymmetric harmonic oscillator, cyclotron motion and Morse Hamiltonians
- Parasupersymmetric quantum mechanics of arbitrary order
- New shape-invariant potentials in supersymmetric quantum mechanics
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