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Finite oscillator models: the Hahn oscillator

Journal of physics. A, Mathematical and theoretical, 2011-07, Vol.44 (26), p.265203-15

2011

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A finite oscillator model related to sl(2|1)

Journal of physics. A, Mathematical and theoretical, 2012-07, Vol.45 (27), p.1-16

2012

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Discrete series representations for sl(2|1), Meixner polynomials and oscillator models

Journal of physics. A, Mathematical and theoretical, 2012-12, Vol.45 (48), p.1-18

2012

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Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter

Journal of physics. A, Mathematical and theoretical, 2020-12, Vol.53 (48), p.485301

2020

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Effective mass of the discrete values as a hidden feature of the one-dimensional harmonic oscillator model: Exact solution of the Schrödinger equation with a mass varying by position

Modern physics letters A, 2021-09, Vol.36 (29)

2021

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Quantum state transfer in spin chains with q-deformed interaction terms

Journal of physics. A, Mathematical and theoretical, 2010-10, Vol.43 (40), p.405301-405301

2010

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The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass

Journal of mathematical physics, 2024-01, Vol.65 (1)

2024

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Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass

European physical journal plus, 2021-07, Vol.136 (7), p.758, Article 758

2021

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The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass

International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics, 2022-12, Vol.36 (31)

2022

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Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass in an external homogeneous field

Pramāṇa, 2022-03, Vol.96 (1), Article 35

2022

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Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field

Theoretical and mathematical physics, 2021-04, Vol.207 (1), p.447-458

2021

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On the exactly-solvable semi-infinite quantum well of the non-rectangular step-harmonic profile

Quantum Studies : Mathematics and Foundations, 2022-11, Vol.9 (4), p.387-404

2022

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The su(2)α Hahn oscillator and a discrete Fourier―Hahn transform

Journal of physics. A, Mathematical and theoretical, 2011-09, Vol.44 (35)

2011

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The Wigner function of a q-deformed harmonic oscillator model

Journal of physics. A, Mathematical and theoretical, 2007-05, Vol.40 (20), p.5427-5441

2007

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The oscillator model for the Lie superalgebra sh(2|2) and Charlier polynomials

Journal of mathematical physics, 2013-10, Vol.54 (10), p.1

2013

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Exact quantum-mechanical solution for the one-dimensional harmonic oscillator model asymmetrically confined into the infinite well

Physica. E, Low-dimensional systems & nanostructures, 2022-05, Vol.139, p.115160, Article 115160

Jafarov, E.I.

2022

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On a dynamical symmetry group of the relativistic linear singular oscillator

Europhysics letters, 2006-10, Vol.76 (2), p.175-181

2006

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Transition to sub-Planck structures through the superposition of q-oscillator stationary states

Physics letters. A, 2010-07, Vol.374 (34), p.3400-3404

2010

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A relativistic model of the N-dimensional singular oscillator

Journal of physics. A, Mathematical and theoretical, 2007-01, Vol.40 (2), p.289-295

2007

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The oscillator model for the Lie superalgebra $\mathfrak {sh}(2|2)$ sh ( 2 | 2 ) and Charlier polynomials

Journal of mathematical physics, 2013-10, Vol.54 (10)

2013

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The su(2) Krawtchouk oscillator model under the CP deformed symmetry

Journal of physics. Conference series, 2015-04, Vol.597 (1), p.12047

2015

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Quantum oscillator models with a discrete position spectrum in the framework of Lie superalgebras

Journal of physics. Conference series, 2014-01, Vol.512 (1), p.12034-9

2014

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The $\mathfrak {su}(2)_\alpha $ Hahn oscillator and a discrete Fourier–Hahn transform

Journal of physics. A, Mathematical and theoretical, 2011-09, Vol.44 (35), p.355205

2011

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The Wigner function of the relativistic finite-difference oscillator in an external field

Journal of physics. A, Mathematical and theoretical, 2009-10, Vol.42 (45), p.454015-454015 (10)

2009

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Exact Solution of the Position-Dependent Mass Schrödinger Equation with the Completely Positive Oscillator-Shaped Quantum Well Potential

Romanian journal of physics, 2023-01, Vol.68 (7-8), p.111-111

2023

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Finite oscillator models: the Hahn oscillator

A finite oscillator model related to sl(2|1)

Discrete series representations for sl(2|1), Meixner polynomials and oscillator models

Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter

Effective mass of the discrete values as a hidden feature of the one-dimensional harmonic oscillator model: Exact solution of the Schrödinger equation with a mass varying by position

Quantum state transfer in spin chains with q-deformed interaction terms

The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass

Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass

The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass

Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass in an external homogeneous field

Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field

On the exactly-solvable semi-infinite quantum well of the non-rectangular step-harmonic profile

The su(2)α Hahn oscillator and a discrete Fourier―Hahn transform

The Wigner function of a q-deformed harmonic oscillator model

The oscillator model for the Lie superalgebra sh(2|2) and Charlier polynomials

Exact quantum-mechanical solution for the one-dimensional harmonic oscillator model asymmetrically confined into the infinite well

On a dynamical symmetry group of the relativistic linear singular oscillator

Transition to sub-Planck structures through the superposition of q-oscillator stationary states

A relativistic model of the N-dimensional singular oscillator

The oscillator model for the Lie superalgebra $\mathfrak {sh}(2|2)$ sh ( 2 | 2 ) and Charlier polynomials

The su(2) Krawtchouk oscillator model under the CP deformed symmetry

Quantum oscillator models with a discrete position spectrum in the framework of Lie superalgebras

The $\mathfrak {su}(2)_\alpha $ Hahn oscillator and a discrete Fourier–Hahn transform

The Wigner function of the relativistic finite-difference oscillator in an external field

Exact Solution of the Position-Dependent Mass Schrödinger Equation with the Completely Positive Oscillator-Shaped Quantum Well Potential

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