Generalized quantum nonlinear oscillators: exact solutions and rational extensions (Q2832713)

scientific article; zbMATH DE number 6652584

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English	Generalized quantum nonlinear oscillators: exact solutions and rational extensions	scientific article; zbMATH DE number 6652584

Statements

instance of

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Journal of Mathematical Physics

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publication date

14 November 2016

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1063/1.4965226

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cites work

On a unique nonlinear oscillator

0 references

Two-parameter double-oscillator model of Mathews-Lakshmanan type: Series solutions and supersymmetric partners

0 references

Dynamical symmetries in a spherical geometry. I

0 references

Dynamical symmetries in a spherical geometry. II

0 references

A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators

0 references

The quantum harmonic oscillator on the sphere and the hyperbolic plane

0 references

A generalized quantum nonlinear oscillator

0 references

Special function solutions of a spectral problem for a nonlinear quantum oscillator

0 references

An exactly solvable three-dimensional nonlinear quantum oscillator

0 references

On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations

0 references

On the complete integrability of a nonlinear oscillator from group theoretical perspective

0 references

Generalized nonlinear oscillators with quasi-harmonic behaviour: Classical solutions

0 references

A quantum quasi-harmonic nonlinear oscillator with an isotonic term

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

Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials

0 references

A conjecture on exceptional orthogonal polynomials

0 references

Two-step Darboux transformations and exceptional Laguerre polynomials

0 references

Exceptional orthogonal polynomials and the Darboux transformation

0 references

Extended Krein-Adler theorem for the translationally shape invariant potentials

0 references

The spectral analysis of three families of exceptional Laguerre polynomials

0 references

Properties of the exceptional $(X_{l})$ Laguerre and Jacobi polynomials

0 references

Recurrence relations of the multi-indexed orthogonal polynomials. II

0 references

Recurrence relations for exceptional Hermite polynomials

0 references

Equivalences of the multi-indexed orthogonal polynomials

0 references

Recurrence relations of the multi-indexed orthogonal polynomials

0 references

Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry

0 references

Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations

0 references

Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators

0 references

Krein–Adler transformations for shape-invariant potentials and pseudo virtual states

0 references

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

0 references

Multistep DBT and regular rational extensions of the isotonic oscillator

0 references

Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials

0 references

Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials

0 references

Solvable rational extensions of the isotonic oscillator

0 references

Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials

0 references

Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

0 references

Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials

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

Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition

0 references

Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians

0 references

N -fold supersymmetry and quasi-solvability associated with X2-Laguerre polynomials

0 references

Effect of position-dependent mass on dynamical breaking of type B and typeX2$\mathcal {N}$-fold supersymmetry

0 references

Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials

0 references

Information entropy of conditionally exactly solvable potentials

0 references

Conditionally exactly solvable potentials: A supersymmetric construction method

0 references

The scattering amplitude for a newly found exactly solvable potential

0 references

Scattering amplitudes for multi-indexed extensions of solvable potentials

0 references

Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials

0 references

Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials

0 references

Infinite families of (non)-Hermitian Hamiltonians associated with exceptionalXmJacobi polynomials

0 references

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

0 references

New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems

0 references

Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability

0 references

Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions

0 references

Extensions of solvable potentials with finitely many discrete eigenstates

0 references

Exceptional Askey–Wilson-type polynomials through Darboux–Crum transformations

0 references

The Exceptional (X ) (q)-Racah Polynomials

0 references

Multi-indexed (q-)Racah polynomials

0 references

Multi-indexed Wilson and Askey–Wilson polynomials

0 references

Rational extension and Jacobi-type X m solutions of a quantum nonlinear oscillator

0 references

Q5558293

0 references

Exactly solvable Schrödinger operators

0 references

Path integral solutions for deformed Pöschl–Teller-like and conditionally solvable potentials

0 references

Extending Romanovski polynomials in quantum mechanics

0 references

Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials

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title

Generalized quantum nonlinear oscillators: exact solutions and rational extensions (English)

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Identifiers

zbMATH Open document ID

1349.81091

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DOI

10.1063/1.4965226

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2832713