Two- and three-dimensional Hamiltonians with shape invariance symmetry

DOI10.1063/1.1380443zbMath1012.81050arXivmath-ph/0005019OpenAlexW1978632129MaRDI QIDQ2775024

H. Panahi-Talemi, E. Faizi, Mohammad Ali Jafarizadeh

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0005019

zbMATH Keywords

Casimir operatoreigenspectrumoscillator Hamiltonian\(su(2)\) Lie 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) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (2)

Two-dimensional exactly solvable quantum model obtained from \(\mathrm{SU}(3)/\mathrm{SU}(2)\) homogenous space ⋮ Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry

Cites Work

• Group theory approach to scattering
• 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.
• Calculation of the determinant of shape invariant operators.
• Isospectral deformation of some shape invariant potentials
• Degeneracy and para-supersymmetry of Dirac Hamiltonian in (2+1)-space–time

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