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The Lambert-W step-potential – an exactly solvable confluent hypergeometric potential

Physics letters. A, 2016-02, Vol.380 (5-6), p.640-644

Ishkhanyan, A.M.

2016

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Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law

Scientific reports, 2023-08, Vol.13 (1), p.13482-13482, Article 13482

2023

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Comments on the "Second-Harmonic Generation Investigated by Topless Potential Well With Inverse Square Root"

IEEE photonics technology letters, 2020-05, Vol.32 (9), p.507-509

2020

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Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients

Advances in High Energy Physics, 2018, Vol.2018 (2018), p.1-9

2018

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A singular Lambert- W Schrödinger potential exactly solvable in terms of the confluent hypergeometric functions

Modern physics letters A, 2016-10, Vol.31 (33), p.1650177

Ishkhanyan, A. M.

2016

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Solutions of a Confluent Modification of the General Heun Equation in Terms of Generalized Hypergeometric Functions

Lobachevskii journal of mathematics, 2023-12, Vol.44 (12), p.5258-5265

2023

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Exact solution of the Schrödinger equation for a short-range exponential potential with inverse square root singularity

European physical journal plus, 2018-03, Vol.133 (3), p.83, Article 83

Ishkhanyan, A. M.

2018

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Appell Hypergeometric Expansions of the Solutions of the General Heun Equation

Constructive approximation, 2019-06, Vol.49 (3), p.445-459

Ishkhanyan, A. M.

2019

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Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions

AIP advances, 2014-08, Vol.4 (8), p.087132-087132-8

2014

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Generalized Hypergeometric Solutions of the Heun Equation

Theoretical and mathematical physics, 2020, Vol.202 (1), p.1-10

Ishkhanyan, A. M.

2020

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Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation

Annalen der Physik, 2016-04, Vol.528 (3-4), p.264-271

2016

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A Schrödinger Potential Conditionally Integrable in Terms of the Hermite Functions

Physics of atomic nuclei, 2018-11, Vol.81 (6), p.869-873

2018

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A New Non-Symmetric Modification of the Second Demkov–Kunike Model

Lobachevskii journal of mathematics, 2023-06, Vol.44 (6), p.2299-2305

2023

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Conditionally exactly solvable Dirac potential, including x 1/3 pseudoscalar interaction

Physica scripta, 2023-07, Vol.98 (7), p.75229

2023

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Generalized confluent hypergeometric solutions of the Heun confluent equation

Applied mathematics and computation, 2018-12, Vol.338, p.624-630

2018

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Inverse square root level-crossing quantum two-state model

Laser physics letters, 2020-10, Vol.17 (10), p.106001

2020

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Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations

Journal of physics. Conference series, 2019-12, Vol.1416 (1), p.12014

2019

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The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential

Advances in High Energy Physics, 2018-01, Vol.2018 (2018), p.1-8

2018

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Van der Waals Attraction of Hydrogen Atoms

Journal of experimental and theoretical physics, 2021-06, Vol.132 (6), p.892-896

2021

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Two-dimensional Dirac fermion in presence of an asymmetric vector potential

Journal of physics. A, Mathematical and theoretical, 2018-12, Vol.51 (49), p.495205

2018

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A New Level-Crossing Two-State Model Solvable in Terms of Hypergeometric Functions

Journal of contemporary physics, 2021-10, Vol.56 (4), p.291-296

2021

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Qualitative Consideration of the Scharnhorst Effect

JETP letters, 2022-03, Vol.115 (6), p.368-370

2022

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Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function

Journal of physics. A, Mathematical and theoretical, 2014-11, Vol.47 (46), p.465205

2014

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Hermite function solutions of the Schrödinger equation for the sextic oscillator

Physica scripta, 2020-08, Vol.95 (8), p.85202

2020

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Analytical Description of Cyclotron Plasma Resonances in Monolayer Graphene

Plasma physics reports, 2023-04, Vol.49 (4), p.437-442

2023

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The Lambert-W step-potential – an exactly solvable confluent hypergeometric potential

Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law

Comments on the "Second-Harmonic Generation Investigated by Topless Potential Well With Inverse Square Root"

Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients

A singular Lambert- W Schrödinger potential exactly solvable in terms of the confluent hypergeometric functions

Solutions of a Confluent Modification of the General Heun Equation in Terms of Generalized Hypergeometric Functions

Exact solution of the Schrödinger equation for a short-range exponential potential with inverse square root singularity

Appell Hypergeometric Expansions of the Solutions of the General Heun Equation

Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions

Generalized Hypergeometric Solutions of the Heun Equation

Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation

A Schrödinger Potential Conditionally Integrable in Terms of the Hermite Functions

A New Non-Symmetric Modification of the Second Demkov–Kunike Model

Conditionally exactly solvable Dirac potential, including x 1/3 pseudoscalar interaction

Generalized confluent hypergeometric solutions of the Heun confluent equation

Inverse square root level-crossing quantum two-state model

Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations

The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential

Van der Waals Attraction of Hydrogen Atoms

Two-dimensional Dirac fermion in presence of an asymmetric vector potential

A New Level-Crossing Two-State Model Solvable in Terms of Hypergeometric Functions

Qualitative Consideration of the Scharnhorst Effect

Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function

Hermite function solutions of the Schrödinger equation for the sextic oscillator

Analytical Description of Cyclotron Plasma Resonances in Monolayer Graphene

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