What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Atomic physics (26.32%)
- Mathematical physics (30.70%)
- Pure mathematics (26.32%)
What were the highlights of his more recent work (between 2016-2021)?
- Mathematical physics (30.70%)
- Ground state (24.12%)
- Atomic physics (26.32%)
In recent papers he was focusing on the following fields of study:
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.
Between 2016 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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