Solvable rational extensions of the Morse and Kepler-Coulomb potentials
DOI10.1063/1.3651222zbMath1272.81059arXiv1103.5023OpenAlexW3104830359MaRDI QIDQ2851730
Publication date: 2 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.5023
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (26)
Cites Work
- Unnamed Item
- Solvable rational extensions of the isotonic oscillator
- An extension of Bochner's problem: exceptional invariant subspaces
- Rational solutions for the Riccati-Schrödinger equations associated to translationally shape invariant potentials
- Conditionally exactly solvable potentials: A supersymmetric construction method
- Nonlinear chains and Painlevé equations
- New possibilities for supersymmetry breakdown in quantum mechanics and second-order irreducible Darboux transformations
- Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
- A simple generation of exactly solvable anharmonic oscillators
- Darboux transformation and exactly solvable potentials with quasi-equidistant spectrum
- An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
- Exceptional orthogonal polynomials and the Darboux transformation
- Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
- An update on the \cal PT-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally extended supersymmetric partners
- Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations
- Factorization solution of a family of quantum nonlinear oscillators
- Supersymmetric method for constructing quasi-exactly and conditionally-exactly solvable potentials
- The Darboux transformation and algebraic deformations of shape-invariant potentials
- Equidistant spectra of anharmonic oscillators
- Supersymmetry and algebraic Darboux transformations
- INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT
- Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states
- Conditionally exactly solvable potentials and exceptional orthogonal polynomials
- Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
- A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
- Group theoretical approach to the intertwined Hamiltonians
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