Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry

DOI10.1063/1.1827325zbMath1076.81015OpenAlexW2090742072MaRDI QIDQ3024168

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Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1827325

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear first-order PDEs (35F20) Exactly and quasi-solvable systems arising in quantum theory (81U15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups ⋮ Contracted Hamiltonian on symmetric space \(SU(3)/SU(2)\) and conserved quantities ⋮ Two-dimensional exactly solvable quantum model obtained from \(\mathrm{SU}(3)/\mathrm{SU}(2)\) homogenous space ⋮ Two-dimensional quantum Hamiltonians with shape invariance symmetry ⋮ Behavior of a constrained particle on superintegrability of the two-dimensional complex Cayley-Klein space and its thermodynamic properties

Cites Work

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• Group theory approach to scattering
• Geometric phases for \(SU(3)\) representations and three level quantum systems
• The embedding of parasupersymmetry and dynamical symmetry into \(\text{GL}(2,\mathbb C)\) group
• Isospectral deformation of some shape invariant potentials
• Two- and three-dimensional Hamiltonians with shape invariance symmetry
• Verma bases for representations of classical simple Lie algebras

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