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Transseries for the ground state density and generalized Bloch equation: Double-well potential case

Physical review. D, 2018-11, Vol.98 (10), p.105007, Article 105007

2018

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Fluctuations in quantum mechanics and field theories from a new version of semiclassical theory. II

Physical review. D, 2017-08, Vol.96 (4), p.045005, Article 045005

2017

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Three-loop correction to the instanton density. I. The quartic double well potential

Physical review. D, Particles, fields, gravitation, and cosmology, 2015-07, Vol.92 (2), Article 025046

2015

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Quantum and thermal fluctuations in quantum mechanics and field theories from a new version of semiclassical theory

Physical review. D, 2016-05, Vol.93 (10), Article 105039

2016

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Three-loop correction to the instanton density. II. The sine-Gordon potential

Physical review. D, Particles, fields, gravitation, and cosmology, 2015-07, Vol.92 (2), Article 025047

2015

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The Heun operator as a Hamiltonian

Journal of physics. A, Mathematical and theoretical, 2016-07, Vol.49 (26), p.26

Turbiner, A V

2016

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Ground State of the H3 + Molecular Ion: Physics Behind

The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 2013-10, Vol.117 (39), p.10119-10128

2013

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Radial power-like potentials: From the Bohr–Sommerfeld S-state energies to the exact ones

International journal of modern physics. A, Particles and fields, gravitation, cosmology, 2023-06, Vol.38 (17)

2023

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Two charges on plane in a magnetic field I. “Quasi-equal” charges and neutral quantum system at rest cases

Annals of physics, 2014-01, Vol.340 (1), p.37-59

2014

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Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity case

International journal of modern physics. A, Particles and fields, gravitation, cosmology, 2019-09, Vol.34 (26), p.1950143

2019

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Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases

International journal of modern physics. A, Particles and fields, gravitation, cosmology, 2020-01, Vol.35 (1), p.2050005

2020

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On 1/ Z expansion, the critical charge for a two-electron system, and the Kato theorem

Canadian journal of physics, 2016-03, Vol.94 (3), p.249-253

2016

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Nuclear critical charge for two-electron ion in Lagrange mesh method

Physics letters. A, 2015-03, Vol.379 (7), p.688-690

2015

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The BC1 quantum elliptic model: algebraic forms, hidden algebra sl(2), polynomial eigenfunctions

Journal of physics. A, Mathematical and theoretical, 2015-03, Vol.48 (9)

Turbiner, A V

2015

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One-electron atomic–molecular ions containing lithium in a strong magnetic field

Journal of physics. B, Atomic, molecular, and optical physics, 2010-03, Vol.43 (6), p.065702-065702

2010

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Stable He- can exist in a strong magnetic field

Physical review letters, 2013-10, Vol.111 (16), p.163003-163003, Article 163003

2013

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The HeH+ molecular ion in a magnetic field

Journal of physics. B, Atomic, molecular, and optical physics, 2007-08, Vol.40 (16), p.3249-3257

2007

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Two charges on a plane in a magnetic field: hidden algebra, (particular) integrability, polynomial eigenfunctions

Journal of physics. A, Mathematical and theoretical, 2013-07, Vol.46 (29), p.295204-15

2013

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Quasi-exactly-solvable problems and sl(2) algebra

Communications in mathematical physics, 1988-09, Vol.118 (3), p.467-474

TURBINER, A. V

1988

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Three-body quantum Coulomb problem: Analytic continuation

Modern physics letters A, 2016-09, Vol.31 (28), p.1650156

2016

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Two charges on a plane in a magnetic field: Special trajectories

Journal of mathematical physics, 2013-02, Vol.54 (2), p.1

2013

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On the connection between perturbation theory and new semiclassical expansion in quantum mechanics

Nuclear physics. B, 2023-04, Vol.989 (C), p.116117, Article 116117

2023

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F 4 Quantum Integrable, rational and trigonometric models: space-of-orbits view

Journal of physics. Conference series, 2014, Vol.512, p.12014

2014

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Transseries for the ground state density and generalized Bloch equation: Double-well potential case

Physical review. D, 2018-11, Vol.98 (10)

2018

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The H+2 molecular ion: a solution

Journal of physics. B, Atomic, molecular, and optical physics, 2011-05, Vol.44 (10), p.101002

2011

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Transseries for the ground state density and generalized Bloch equation: Double-well potential case

Fluctuations in quantum mechanics and field theories from a new version of semiclassical theory. II

Three-loop correction to the instanton density. I. The quartic double well potential

Quantum and thermal fluctuations in quantum mechanics and field theories from a new version of semiclassical theory

Three-loop correction to the instanton density. II. The sine-Gordon potential

The Heun operator as a Hamiltonian

Ground State of the H3 + Molecular Ion: Physics Behind

Radial power-like potentials: From the Bohr–Sommerfeld S-state energies to the exact ones

Two charges on plane in a magnetic field I. “Quasi-equal” charges and neutral quantum system at rest cases

Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity case

Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases

On 1/ Z expansion, the critical charge for a two-electron system, and the Kato theorem

Nuclear critical charge for two-electron ion in Lagrange mesh method

The BC1 quantum elliptic model: algebraic forms, hidden algebra sl(2), polynomial eigenfunctions

One-electron atomic–molecular ions containing lithium in a strong magnetic field

Stable He- can exist in a strong magnetic field

The HeH+ molecular ion in a magnetic field

Two charges on a plane in a magnetic field: hidden algebra, (particular) integrability, polynomial eigenfunctions

Quasi-exactly-solvable problems and sl(2) algebra

Three-body quantum Coulomb problem: Analytic continuation

Two charges on a plane in a magnetic field: Special trajectories

On the connection between perturbation theory and new semiclassical expansion in quantum mechanics

F 4 Quantum Integrable, rational and trigonometric models: space-of-orbits view

Transseries for the ground state density and generalized Bloch equation: Double-well potential case

The H+2 molecular ion: a solution

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