Broken supersymmetric shape invariant systems and their potential algebras

DOI10.1016/S0375-9601(01)00266-3zbMath0984.81053arXivhep-th/0103054MaRDI QIDQ5936603

Asim Gangopadhyaya, Uday P. Sukhatme, Jeffry V. Mallow

Publication date: 2 July 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0103054

zbMATH Keywords

eigenspectragroup theory

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60)

Related Items (8)

Quantum Hamilton–Jacobi quantization and shape invariance ⋮ Shape invariance symmetries for quantum states of the superpotentials \(A\tanh\omega y+B/A\) and \(- A\cot\omega \theta +B\csc\omega \theta \) ⋮ EXACTLY SOLVABLE INTERPOLATING HAMILTONIANS WITH POSITION-DEPENDENT MASS ⋮ Spectrum-generating symmetries for the Superpotentials \(A\) cot \(\theta \) and \(B\) tanh \(y\) ⋮ Comment on ``Supersymmetry and singular potentials by Das and Pernice ⋮ Dynamical symmetry group and quantum splittings for a free particle on the group manifold AdS3 ⋮ SUSY QM with a complex partner potential in a one-dimensional box ⋮ Exactness of semiclassical quantization rule for broken supersymmetry

Cites Work

• Unnamed Item
• Dynamical breaking of supersymmetry
• Group theory approach to scattering. IV: Solvable potentials associated with \(\mathrm{SO}(2,2)\)
• The potential group approach and hypergeometric differential equations
• The Factorization Method

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