New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials (Q5397836)

scientific article; zbMATH DE number 6261254

Language	Label	Description	Also known as
English	New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials	scientific article; zbMATH DE number 6261254

Statements

instance of

scholarly article

0 references

title

New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials (English)

0 references

0 references

0 references

Journal of Mathematical Physics

0 references

publication date

24 February 2014

0 references

full work available at URL

https://arxiv.org/abs/1211.2957

0 references

https://espace.library.uq.edu.au/view/UQ:304151/UQ304151_OA.pdf

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Superintegrable systems in Darboux spaces

0 references

Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory

0 references

Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform

0 references

Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory

0 references

Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory

0 references

Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems

0 references

Unified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two-dimensional manifold

0 references

Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles

0 references

Block regularization of the Kepler problem on surfaces of revolution with positive constant curvature

0 references

Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits

0 references

Revisiting the symmetries of the quantum Smorodinsky-Winternitz system in \(D\) dimensions

0 references

Models of quadratic algebras generated by superintegrable systems in 2D

0 references

Superintegrable systems with spin and second-order integrals of motion

0 references

Superintegrable systems with third-order integrals of motion

0 references

Q5820721

0 references

Superintegrability with third-order integrals in quantum and classical mechanics

0 references

Hamiltonians separable in Cartesian coordinates and third-order integrals of motion

0 references

Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials

0 references

Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials

0 references

Third-order superintegrable systems separating in polar coordinates

0 references

Third-order superintegrable systems separable in parabolic coordinates

0 references

Superintegrability and higher order polynomial algebras

0 references

A recurrence relation approach to higher order quantum superintegrability

0 references

Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion

0 references

Two families of superintegrable and isospectral potentials in two dimensions

0 references

An extension of Bochner's problem: exceptional invariant subspaces

0 references

An extended class of orthogonal polynomials defined by a Sturm-Liouville problem

0 references

Exceptional orthogonal polynomials and the Darboux transformation

0 references

Two-step Darboux transformations and exceptional Laguerre polynomials

0 references

Factorization solution of a family of quantum nonlinear oscillators

0 references

Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations

0 references

Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry

0 references

HIGHER-ORDER SUSY, EXACTLY SOLVABLE POTENTIALS, AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS

0 references

RATIONALLY-EXTENDED RADIAL OSCILLATORS AND LAGUERRE EXCEPTIONAL ORTHOGONAL POLYNOMIALS IN kTH-ORDER SUSYQM

0 references

Solvable rational extensions of the isotonic oscillator

0 references

Multistep DBT and regular rational extensions of the isotonic oscillator

0 references

Families of superintegrable Hamiltonians constructed from exceptional polynomials

0 references

Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states

0 references

Polynomial Heisenberg algebras

0 references

Systems with higher-order shape invariance: spectral and algebraic properties

0 references

Third-order differential ladder operators and supersymmetric quantum mechanics

0 references

Q5558293

0 references

Identifiers

zbMATH Open document ID

1282.70036

0 references

DOI

10.1063/1.4798807

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5397836