Type B 3-fold supersymmetry and non-polynomial invariant subspaces

DOI10.1063/1.4819500zbMath1312.81089arXiv1212.0611OpenAlexW3098810713MaRDI QIDQ5409666

Toshiaki Tanaka

Publication date: 14 April 2014

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

Full work available at URL: https://arxiv.org/abs/1212.0611

zbMATH Keywords

exceptional orthogonal polynomialsN-fold supersymmetryweak quasi solvability

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Operator algebra methods applied to problems in quantum theory (81R15) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

$GL(3,\mathbb {C})$ G L ( 3 , C ) invariance of type B 3-fold supersymmetric systems

Cites Work

• A new family of \(N\)-fold supersymmetry: type B
• An extension of Bochner's problem: exceptional invariant subspaces
• Existence of different intermediate Hamiltonians in type A \(\mathcal N\)-fold supersymmetry. II: The \(\mathcal N= 3\) case
• Existence of different intermediate Hamiltonians in type A \({\mathcal N}\)-fold supersymmetry
• Classification of linear differential operators with an invariant subspace of monomials
• Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
• Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials
• Quasi-exactly-solvable problems and sl(2) algebra
• On a general form of $\mathcal {N}$-fold supersymmetry
• Quasi-exact solvability and the direct approach to invariant subspaces
• Nonlinear pseudo-supersymmetry in the framework of -fold supersymmetry
• N -fold supersymmetry and quasi-solvability associated with X2-Laguerre polynomials
• Quasi-exact solvability in a general polynomial setting
• A novel multi-parameter family of quantum systems with partially broken -fold supersymmetry
• Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems
• General forms of a \(N\)-fold supersymmetric family
• sl(2) construction of type A \(N\)-fold supersymmetry
• \(N\)-fold supersymmetry in quantum mechanics: general formalism

This page was built for publication: Type B 3-fold supersymmetry and non-polynomial invariant subspaces