Master function approach to quantum solvable models on SL(2,c) and SL(2,c)/GL(1,c) manifolds

DOI10.1063/1.533150zbMath0978.81030OpenAlexW2059800958MaRDI QIDQ2737834

No author found.

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533150

zbMATH Keywords

degeneracyshape invarianceCasimir of \(\text{gl}(2,\mathbb{C})\)homogeneous manifold \(\text{SL}(2,\mathbb{C})/\text{GL}(1,\mathbb{C})\)representations of arbitrary ordertwo-dimensional Hamiltonian

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60)

Related Items (4)

PARASUPERSYMMETRIC COHERENT STATES FOR LANDAU LEVELS WITH DYNAMICAL SYMMETRY GROUP H₄ ⋮ 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 ⋮ BEYOND UNITARY PARASUPERSYMMETRY FROM THE VIEWPOINT OF h₃ AND h₄ HEISENBERG ALGEBRAS

Cites Work

• The embedding of parasupersymmetry and dynamical symmetry into \(\text{GL}(2,\mathbb C)\) group
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Supersymmetry and shape invariance in differential equations of mathematical physics.
• Parasupersymmetric quantum mechanics of arbitrary order
• Ladder operators and differential equations for orthogonal polynomials
• New shape-invariant potentials in supersymmetric quantum mechanics

This page was built for publication: Master function approach to quantum solvable models on SL(2,c) and SL(2,c)/GL(1,c) manifolds