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- Alexander V. Turbiner

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
4,423
154
World Ranking
2702
National Ranking
4

2000 - Fellow of American Physical Society (APS) Citation For the discovery and analysis of quasiexact solvable Schrdinger equations

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary scientific interests are in Eigenvalues and eigenvectors, Mathematical physics, Anharmonicity, Pure mathematics and Lie algebra. His Mathematical physics study integrates concerns from other disciplines, such as Class, Conformal field theory, Conformal symmetry and Field. His Anharmonicity study incorporates themes from Structure, Analytic continuation and Schrödinger equation.

Alexander V. Turbiner regularly links together related areas like Quadratic function in his Pure mathematics studies. The subject of his Lie algebra research is within the realm of Algebra. Alexander V. Turbiner usually deals with Canonical transformation and limits it to topics linked to Hidden algebra and Spectrum.

- Quasi-exactly-solvable problems and sl(2) algebra (694 citations)
- Spectral singularities and quasi-exactly solvable quantal problem (190 citations)
- An infinite family of solvable and integrable quantum systems on a plane (182 citations)

Alexander V. Turbiner spends much of his time researching Atomic physics, Mathematical physics, Pure mathematics, Ground state and Magnetic field. His studies in Atomic physics integrate themes in fields like Ion, Polyatomic ion and Electron. The various areas that Alexander V. Turbiner examines in his Mathematical physics study include Scheme, Eigenfunction, Quantum, Anharmonicity and Harmonic oscillator.

Alexander V. Turbiner combines subjects such as Hamiltonian, Polynomial and Hidden algebra with his study of Pure mathematics. His study in Hamiltonian is interdisciplinary in nature, drawing from both Curved space and Eigenvalues and eigenvectors. In his study, Charge is strongly linked to Coulomb, which falls under the umbrella field of Ground state.

- Atomic physics (26.32%)
- Mathematical physics (30.70%)
- Pure mathematics (26.32%)

- Mathematical physics (30.70%)
- Ground state (24.12%)
- Atomic physics (26.32%)

Alexander V. Turbiner mainly investigates Mathematical physics, Ground state, Atomic physics, Quantum mechanics and Hamiltonian. His work carried out in the field of Mathematical physics brings together such families of science as Harmonic oscillator, Wave function, Eigenfunction and Three-body problem. His Ground state research is multidisciplinary, relying on both Function, Quantum, Padé approximant and Coulomb.

He works in the field of Quantum, focusing on Hidden algebra in particular. His Hidden algebra research includes themes of Algebraic structure, Eigenvalues and eigenvectors and Invariant. His Atomic physics study combines topics from a wide range of disciplines, such as Ion, Range and Magnetic field.

- Three-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability (10 citations)
- H2+, HeH and H2: Approximating potential curves, calculating rovibrational states (10 citations)
- Fluctuations in quantum mechanics and field theories from a new version of semiclassical theory. II. (10 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

Ground state, Mathematical physics, Three-body problem, Quantum mechanics and Quantum are his primary areas of study. His Ground state research incorporates elements of Ion and Coulomb, Electron, Atomic orbital. Many of his studies involve connections with topics such as Hamiltonian and Mathematical physics.

Alexander V. Turbiner studied Three-body problem and Harmonic oscillator that intersect with Algebra over a field and Lie algebra. His Quantum research is multidisciplinary, relying on both Sextic equation and Eigenvalues and eigenvectors. His study explores the link between Curved space and topics such as Eigenfunction that cross with problems in Perturbation theory, Variational method and Anharmonicity.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

A. V. Turbiner.

Communications in Mathematical Physics **(1988)**

843 Citations

Spectral singularities and quasi-exactly solvable quantal problem

A.V. Turbiner;A.G. Ushveridze.

Physics Letters A **(1987)**

247 Citations

Quantal problems with partial algebraization of the spectrum

M. A. Shifman;A. V. Turbiner.

Communications in Mathematical Physics **(1989)**

213 Citations

An infinite family of solvable and integrable quantum systems on a plane

Frédérick Tremblay;Alexander V Turbiner;Pavel Winternitz.

Journal of Physics A **(2009)**

191 Citations

QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES

A. Yu. Morozov;A.M. Perelomov;A.A. Rosly;M.A. Shifman.

International Journal of Modern Physics A **(1990)**

183 Citations

Exact solvability of superintegrable systems

Piergiulio Tempesta;Alexander V. Turbiner;Pavel Winternitz.

Journal of Mathematical Physics **(2001)**

168 Citations

Analytic continuation of eigenvalue problems

Carl M. Bender;Alexander Turbiner.

Physics Letters A **(1993)**

156 Citations

One-Dimensional Quasi-Exactly Solvable Schr"odinger Equations

Alexander V Turbiner.

arXiv: Quantum Physics **(2016)**

128 Citations

EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS

Werner Rühl;Alexander Turbiner.

Modern Physics Letters A **(1995)**

121 Citations

Hidden algebras of the (super) Calogero and Sutherland models

Lars Brink;Alexander Turbiner;Niclas Wyllard.

Journal of Mathematical Physics **(1998)**

120 Citations

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