What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
His main research concerns Mathematical analysis, Mathematical physics, Pure mathematics, Partial differential equation and Integrable system.
The various areas that he examines in his Mathematical analysis study include Lie group, Nonlinear system and Symmetry group.
His Mathematical physics research is multidisciplinary, relying on both Quadratic equation, Separation of variables, Homogeneous space, Quantum and Coupling constant.
His Partial differential equation study deals with Euler equations intersecting with Boundary value problem and Inviscid flow.
His Integrable system research includes themes of Bounded function, Classical mechanics and Conjecture.
His study in Ordinary differential equation is interdisciplinary in nature, drawing from both Stochastic partial differential equation and Riccati equation.
His most cited work include:
- Invariants of real low dimension Lie algebras (414 citations)
- ON HIGHER SYMMETRIES IN QUANTUM MECHANICS (369 citations)
- Non-classical symmetry reduction: example of the Boussinesq equation (317 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical physics, Pure mathematics, Mathematical analysis, Homogeneous space and Lie group.
His specific area of interest is Mathematical physics, where he studies Integrable system.
His works in Lie conformal algebra, Lie algebra, Affine Lie algebra, Representation of a Lie group and Invariant are all subjects of inquiry into Pure mathematics.
The study incorporates disciplines such as Universal enveloping algebra and Graded Lie algebra in addition to Lie conformal algebra.
In his research on the topic of Mathematical analysis, Differential algebraic equation is strongly related with Nonlinear system.
In his work, Symmetry is strongly intertwined with Symmetry group, which is a subfield of Lie group.
He most often published in these fields:
- Mathematical physics (36.85%)
- Pure mathematics (32.27%)
- Mathematical analysis (31.67%)
What were the highlights of his more recent work (between 2010-2021)?
- Pure mathematics (32.27%)
- Mathematical physics (36.85%)
- Quantum (10.76%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Pure mathematics, Mathematical physics, Quantum, Mathematical analysis and Invariant.
His Pure mathematics research includes elements of Symmetry, Separable space and Homogeneous space.
Pavel Winternitz has included themes like Linear differential equation, Euclidean space, Fourth order, Polar coordinate system and Hamiltonian in his Mathematical physics study.
Pavel Winternitz combines subjects such as Motion and Scalar with his study of Quantum.
His study in Simultaneous equations and Independent equation is done as part of Mathematical analysis.
Pavel Winternitz interconnects Discretization, Lie group, Ordinary differential equation and Direct sum in the investigation of issues within Invariant.
Between 2010 and 2021, his most popular works were:
- Classical and quantum superintegrability with applications (225 citations)
- Classification and Identification of Lie Algebras (41 citations)
- Classification and Identification of Lie Algebras (41 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
His primary areas of investigation include Mathematical physics, Quantum, Pure mathematics, Euclidean space and Hamiltonian.
Pavel Winternitz has researched Mathematical physics in several fields, including Coupling constant, Scalar and Orthogonal polynomials.
His Pure mathematics research incorporates themes from Lie point symmetry, Homogeneous space and Discretization.
His Homogeneous space study incorporates themes from Symmetry, Dynamical systems theory, Theoretical physics and Mathematical analysis.
He is studying Ordinary differential equation, which is a component of Mathematical analysis.
His Hamiltonian research focuses on Integrable system and how it relates to Quantum system and Magnetic field.
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