What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Algebra
The scientist’s investigation covers issues in Mathematical analysis, Pure mathematics, Mathematical physics, Integrable system and Structure.
His work on Separation of variables and Euclidean space as part of general Mathematical analysis study is frequently linked to Superintegrable Hamiltonian system, bridging the gap between disciplines.
His study in Separation of variables is interdisciplinary in nature, drawing from both Group theory, Manifold, Laplace's equation and Riemannian geometry.
His Mathematical physics study combines topics in areas such as Schrödinger equation, Quantum, Hamiltonian, Quantum mechanics and Coupling constant.
His work carried out in the field of Integrable system brings together such families of science as Space and Homogeneous space.
His Structure study deals with Motion intersecting with Completeness.
His most cited work include:
- Symmetry and separation of variables (643 citations)
- Lie Theory and Special Functions (442 citations)
- Symmetry groups and their applications (429 citations)
What are the main themes of his work throughout his whole career to date?
Willard Miller mainly investigates Mathematical analysis, Pure mathematics, Mathematical physics, Separation of variables and Algebra.
His research is interdisciplinary, bridging the disciplines of Coordinate system and Mathematical analysis.
His studies in Pure mathematics integrate themes in fields like Polynomial and Constant curvature.
His Mathematical physics research includes elements of Quantum, Hamiltonian, Euclidean space and Homogeneous space.
In his study, Motion is strongly linked to Structure, which falls under the umbrella field of Homogeneous space.
His work in Separation of variables covers topics such as Lie theory which are related to areas like Symmetry group.
He most often published in these fields:
- Mathematical analysis (42.97%)
- Pure mathematics (38.78%)
- Mathematical physics (25.10%)
What were the highlights of his more recent work (between 2009-2021)?
- Pure mathematics (38.78%)
- Mathematical physics (25.10%)
- Lie algebra (8.75%)
In recent papers he was focusing on the following fields of study:
Willard Miller mainly focuses on Pure mathematics, Mathematical physics, Lie algebra, Quantum and Symmetry.
In the field of Pure mathematics, his study on Euclidean space overlaps with subjects such as Superintegrable Hamiltonian system and Quadratic algebra.
His research in Mathematical physics intersects with topics in Space, Hamiltonian, Harmonic oscillator and Three-body problem.
His Quantum research focuses on Coupling constant and how it relates to Scalar.
His Symmetry study incorporates themes from Structure, Separation of variables and Degenerate energy levels.
His Laplace transform study results in a more complete grasp of Mathematical analysis.
Between 2009 and 2021, his most popular works were:
- Symmetry and separation of variables (643 citations)
- Classical and quantum superintegrability with applications (225 citations)
- Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials (78 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
His primary areas of study are Mathematical physics, Pure mathematics, Homogeneous space, Algebra and Symmetry.
He has researched Mathematical physics in several fields, including Separation of variables, Coordinate system, Quantum, Quantum mechanics and Polynomial.
His study focuses on the intersection of Separation of variables and fields such as Group theory with connections in the field of Special functions.
His work in Pure mathematics addresses issues such as Constant curvature, which are connected to fields such as Jacobi polynomials and Function space.
His research investigates the connection with Algebra and areas like Orthogonal polynomials which intersect with concerns in Quadratic equation.
Function, Recurrence relation and Action is closely connected to Structure in his research, which is encompassed under the umbrella topic of Symmetry.
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