Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials
From MaRDI portal
Publication:1811490
DOI10.1016/S0550-3213(03)00341-9zbMath1034.81021arXivhep-th/0212276MaRDI QIDQ1811490
Publication date: 11 June 2003
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0212276
Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60)
Related Items (19)
Nonlinear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I: General properties ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order ⋮ $\mathcal{N}$-FOLD PARASUPERSYMMETRY ⋮ A family of quasi-solvable quantum many-body systems ⋮ A generalized non-Hermitian oscillator Hamiltonian, \(\mathcal N\)-fold supersymmetry and position-dependent mass models ⋮ A new family of \(N\)-fold supersymmetry: type B ⋮ Simultaneous type \(A_{\mathcal N}\)-fold supersymmetry with two different values of \(\mathcal N\) ⋮ \(\mathfrak{sl}(M+1)\) construction of quasi-solvable quantum \(M\)-body systems. ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. II: Third order ⋮ Type B 3-fold supersymmetry and non-polynomial invariant subspaces ⋮ ${\mathcal N}$-FOLD SUPERSYMMETRIC QUANTUM MECHANICS WITH REFLECTIONS ⋮ $GL(3,\mathbb {C})$ G L ( 3 , C ) invariance of type B 3-fold supersymmetric systems ⋮ Haydock's recursive solution of self-adjoint problems. Discrete spectrum ⋮ Simultaneous ordinary and type A \(\mathcal N\)-fold supersymmetries in Schrödinger, Pauli, and Dirac equations ⋮ A many-body generalization of quasi-solvable models with type C \(\mathcal N\)-foldsupersymmetry. I: regular cases ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass ⋮ Existence of different intermediate Hamiltonians in type A \({\mathcal N}\)-fold supersymmetry ⋮ N -fold supersymmetry and quasi-solvability associated with X2-Laguerre polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Dynamical breaking of supersymmetry
- Second-order supersymmetric periodic potentials
- New possibilities for supersymmetry breakdown in quantum mechanics and second-order irreducible Darboux transformations
- Valley views: Instantons, large order behaviors, and supersymmetry
- \(N\)-fold supersymmetry for a periodic potential
- Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
- Quasi-exactly-solvable problems and sl(2) algebra
- Polynomial supersymmetry and dynamical symmetries in quantum mechanics
- Polynomial SUSY in quantum mechanics and second derivative Darboux transformations
- Do quasi-exactly solvable systems always correspond to orthogonal polynomials?
- HIDDEN NONLINEAR SUPERSYMMETRIES IN PURE PARABOSONIC SYSTEMS
- NEW FEATURES IN SUPERSYMMETRY BREAKDOWN IN QUANTUM MECHANICS
- Anti-Isospectral Transformations in Quantum Mechanics
- Supersymmetry and the spontaneous breakdown of 𝒫𝒯 symmetry
- SUSUSY Quantum Mechanics
- SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM
- Exactly solvable hydrogen-like potentials and the factorization method
- Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems
- Planar Dirac electron in Coulomb and magnetic fields: A Bethe ansatz approach
- Associated Lamé and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials
- 𝒩-fold supersymmetry in quantum mechanics—analyses of particular models
- Two-dimensional hydrogen in a magnetic field: analytical solutions
- Two particles with opposite charge in a homogeneous magnetic field: particular analytical solutions of the two-dimensional Schrödinger equation
- On the families of orthogonal polynomials associated to the Razavy potential
- Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states
- Quasi-exactly solvable systems and orthogonal polynomials
- Quasi-exactly solvable potentials on the line and orthogonal polynomials
- General forms of a \(N\)-fold supersymmetric family
- Nonlinear supersymmetry, quantum anomaly and quasi-exactly solvable systems
- sl(2) construction of type A \(N\)-fold supersymmetry
- Nonlinear supersymmetry on the plane in magnetic field and quasi-exactly solvable systems
- Classification of type A \(N\)-fold supersymmetry
- \(N\)-fold supersymmetry in quantum mechanics: general formalism
This page was built for publication: Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials
