ABC of ladder operators for rationally extended quantum harmonic oscillator systems
type: Item
instance of: scholarly article
title: ABC of ladder operators for rationally extended quantum harmonic oscillator systems
zbMATH Open document ID: 1370.81229
author: J. F. Cariñena
author: Mikhail S. Plyushchay
published in: Journal of Physics A: Mathematical and Theoretical
publication date: 2017-08-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/1701.08657
full work available at URL: http://zaguan.unizar.es/record/70881
Mathematics Subject Classification ID: 81V70
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 81R15
Mathematics Subject Classification ID: 81Q80
zbMATH DE Number: 6760468
zbMATH Keywords: rationally extended quantum harmonic oscillator systems
zbMATH Keywords: ladder operators
zbMATH Keywords: spectrum-generating operators
zbMATH Keywords: Darboux-Crum-Krein-Adler transformations
MaRDI profile type: Publication
OpenAlex ID: W2584608621
arXiv ID: 1701.08657
cites work: Reflectionless Transmission through Dielectrics and Scattering Potentials
cites work: Q5776839
cites work: The Factorization Method
cites work: ASSOCIATED STURM-LIOUVILLE SYSTEMS
cites work: Q4002235
cites work: Riccati equation, factorization method and shape invariance
cites work: Group theoretical approach to the intertwined Hamiltonians
cites work: Factorization: little or great algorithm?
cites work: GENERALIZED BÄCKLUND–DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS
cites work: Aharonov-Bohm effect on AdS\(_2\) and nonlinear supersymmetry of reflectionless Pöschl-Teller system
cites work: Q4303160
cites work: Q4423191
cites work: Self-Isospectrality, Special Supersymmetry, and their Effect on the Band Structure
cites work: Equidistant spectra of anharmonic oscillators
cites work: A modification of Crum's method
cites work: Darboux transformation and exactly solvable potentials with quasi-equidistant spectrum
cites work: Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
cites work: Conditionally exactly solvable problems and nonlinear algebras.
cites work: A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
cites work: Factorization solution of a family of quantum nonlinear oscillators
cites work: The generalized quantum isotonic oscillator
cites work: Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
cites work: Propagators of isochronous an-harmonic oscillators and Mehler formula for the exceptional Hermite polynomials
cites work: Q5529765
cites work: Extended Krein-Adler theorem for the translationally shape invariant potentials
cites work: An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
cites work: An extension of Bochner's problem: exceptional invariant subspaces
cites work: Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
cites work: Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics
cites work: Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations
cites work: Solvable rational extensions of the isotonic oscillator
cites work: Dressing chains and the spectral theory of the Schrödinger operator
cites work: Nonlinear chains and Painlevé equations
cites work: Painlevé equations from Darboux chains: I.PIII–PV
cites work: Monodromy-free Schrödinger operators with quadratically increasing potentials
cites work: Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators
cites work: New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems
cites work: Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability
cites work: Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis
cites work: Q4512396
DOI: 10.1088/1751-8121/AA739B
description: scientific article; zbMATH DE number 6760468