The embedding of parasupersymmetry and dynamical symmetry into \(\text{GL}(2,\mathbb C)\) group

DOI10.1006/aphy.1998.5788zbMath0932.37010OpenAlexW2080863170MaRDI QIDQ1283185

K. Appert

Publication date: 22 March 2000

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aphy.1998.5788

zbMATH Keywords

differential equationsspecial functionsdynamical symmetryshape invarianceparasupersymmetry

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (12)

Degeneracy and para-supersymmetry of Dirac Hamiltonian in (2+1)-space–time ⋮ 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 ⋮ Master function approach to quantum solvable models on SL(2,c) and SL(2,c)/GL(1,c) manifolds ⋮ Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry ⋮ Two- and three-dimensional Hamiltonians with shape invariance symmetry ⋮ The supersymmetry approaches to the non-central Kratzer plus ring-shaped potential ⋮ BEYOND UNITARY PARASUPERSYMMETRY FROM THE VIEWPOINT OF h₃ AND h₄ HEISENBERG ALGEBRAS ⋮ Factorization method in scalar field on AdS3 in spherical coordinates ⋮ 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\((2,\mathbb{C})\) ⋮ Barut-Girardello coherent states for the Morse potential

Cites Work

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• Group theory approach to scattering
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Hilbert space for charged particles in perpendicular magnetic fields
• Supersymmetry and shape invariance in differential equations of mathematical physics.
• Lie theory and special functions
• Symmetries and degeneracies of a charged oscillator in the field of a magnetic monopole

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