New two-dimensional quantum models with shape invariance

DOI10.1063/1.3553396zbMath1314.81090arXiv1101.0793OpenAlexW3103493362MaRDI QIDQ5256207

Francesco Cannata, D. N. Nishnianidze, Mikhail V. Ioffe

Publication date: 22 June 2015

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

Full work available at URL: https://arxiv.org/abs/1101.0793

Mathematics Subject Classification ID

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

Some properties of the shape-invariant two-dimensional Scarf II model ⋮ Shape invariant potentials in higher dimensions ⋮ Analytical solution of two-dimensional Scarf II model by means of SUSY methods ⋮ General solution of the two-dimensional intertwining relations for supercharges with hyperbolic (Lorentz) metrics ⋮ Three-dimensional shape invariant non-separable model with equidistant spectrum

Cites Work

• Dynamical breaking of supersymmetry
• Two-dimensional supersymmetry: from SUSY quantum mechanics to integrable classical models
• Quasi-exactly-solvable problems and sl(2) algebra
• A class of partially solvable two-dimensional quantum models with periodic potentials
• Double shape invariance of the two-dimensional singular Morse model
• Intertwining relations for the matrix Calogero-like models: supersymmetry and shape invariance
• New methods for the two-dimensional Schrödinger equation: SUSY-separation of variables and shape invariance
• A SUSY approach for investigation of two-dimensional quantum mechanical systems
• A BPS interpretation of shape invariance
• Exact solvability of a two-dimensional real singular Morse potential
• GENERATING SHAPE INVARIANT POTENTIALS
• On infinite decodable codes