2000 - Fellow of American Physical Society (APS) Citation For the discovery and analysis of quasiexact solvable Schrdinger equations
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.
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.
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.
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.
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Quasi-exactly-solvable problems and sl(2) algebra
A. V. Turbiner.
Communications in Mathematical Physics (1988)
Spectral singularities and quasi-exactly solvable quantal problem
A.V. Turbiner;A.G. Ushveridze.
Physics Letters A (1987)
Quantal problems with partial algebraization of the spectrum
M. A. Shifman;A. V. Turbiner.
Communications in Mathematical Physics (1989)
An infinite family of solvable and integrable quantum systems on a plane
Frédérick Tremblay;Alexander V Turbiner;Pavel Winternitz.
Journal of Physics A (2009)
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)
Exact solvability of superintegrable systems
Piergiulio Tempesta;Alexander V. Turbiner;Pavel Winternitz.
Journal of Mathematical Physics (2001)
Analytic continuation of eigenvalue problems
Carl M. Bender;Alexander Turbiner.
Physics Letters A (1993)
One-Dimensional Quasi-Exactly Solvable Schr"odinger Equations
Alexander V Turbiner.
arXiv: Quantum Physics (2016)
EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
Werner Rühl;Alexander Turbiner.
Modern Physics Letters A (1995)
Hidden algebras of the (super) Calogero and Sutherland models
Lars Brink;Alexander Turbiner;Niclas Wyllard.
Journal of Mathematical Physics (1998)
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