Another bunch of superpotentials in terms of a master function

DOI10.1016/S0375-9601(99)00873-7zbMath0941.81053MaRDI QIDQ1569495

Hossein Fakhri

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

wavefunctionsshape invariancemaster functionbunch of superpotentialsmain quantum numberquantum solvable systemsunitary parasupersymmetry algebra

Mathematics Subject Classification ID

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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