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Mathematics

D-Index
54
Citations
10483
World Ranking
845
National Ranking
411

Overview

Willard Miller was affiliated with the University of Minnesota in the United States and contributed to the field of Physics and Astronomy. Their research focused extensively on Atomic and Molecular Physics, and Optics, as well as Statistical and Nonlinear Physics, Astronomy and Astrophysics, Spectroscopy, and Organic Chemistry.

The scholar's work spanned multiple topics, including Quantum Mechanics and Non-Hermitian Physics, Nonlinear Waves and Solitons, Molecular Spectroscopy and Chirality, Quantum Chaos and Dynamical Systems, Astro and Planetary Science, Advanced Fiber Laser Technologies, and Stellar, Planetary, and Galactic Studies.

Their collection of recent papers showed sustained engagement with complex subjects in mathematical and theoretical physics. Publications included:

  • From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics, 2020, Journal of Physics A Mathematical and Theoretical
  • Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators, 2020, Symmetry Integrability and Geometry Methods and Applications
  • Classical n-body system in geometrical and volume variables: I. Three-body case, 2021, International Journal of Modern Physics A
  • Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl (7), 2021, arXiv (Cornell University)
  • Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl (7), 2021, Journal of Mathematical Physics

Frequent co-authors indicated collaborative research efforts. These included:

  • Alexander V. Turbiner
  • A. M. Escobar-Ruiz
  • Román Linares
  • S Bertrand
  • Ian Marquette

The scientist regularly published in several academic journals and platforms, notably:

  • Journal of Physics A Mathematical and Theoretical
  • International Journal of Modern Physics A
  • arXiv (Cornell University)
  • Symmetry Integrability and Geometry Methods and Applications
  • Journal of Mathematical Physics

Best Publications

  • Symmetry and separation of variables

    Willard Miller

  • Symmetry groups and their applications

    Willard Miller

  • Lie Theory and Special Functions

    Willard Miller;Henry S. Valk

  • The IMA volumes in mathematics and its applications

    Avner Friedman;Willard Miller

  • Classical and quantum superintegrability with applications

    Willard Miller;Sarah Post;Pavel Winternitz

  • Completeness of superintegrability in two-dimensional constant-curvature spaces

    E. G. Kalnins;J. M. Kress;G. S. Pogosyan;Willard Miller

  • Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

    B. R. Judd;B. R. Judd;Willard Miller;J. Patera;P. Winternitz

  • Superintegrable systems in Darboux spaces

    E. G. Kalnins;J. M. Kress;Willard Miller;P. Winternitz

  • The Group $O(4)$, Separation of Variables and the Hydrogen Atom

    E. G. Kalnins;W. Miller;P. Winternitz

  • Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions

    Ernie G. Kalnins;W. Miller;G.S. Pogosyan

  • Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations

    E. G. Kalnins;Willard Miller

  • The Mathematics of Signal Processing

    Steven B. Damelin;Willard Jr Miller

  • Symmetry and separation of variables for the Helmholtz and Laplace equations

    C. P. Boyer;C. P. Boyer;C. P. Boyer;E. G. Kalnins;E. G. Kalnins;E. G. Kalnins;Willard Miller

  • Lie Groups and Algebras

    Willard Miller

  • Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Separation of variables on n‐dimensional Riemannian manifolds. I. The n‐sphere Sn and Euclidean n‐space Rn

    Ernie G. Kalnins;W. Miller

  • Completeness of multiseparable superintegrability on the complex 2-sphere

    E G Kalnins;W Miller;G S Pogosyan

  • Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems

    Ernie G. Kalnins;Jonathan M. Kress;W. Miller

  • Killing Tensors and Nonorthogonal Variable Separation for Hamilton–Jacobi Equations

    E. G. Kalnins;Willard Miller

Frequent Co-Authors

Ernie G. Kalnins
Ernie G. Kalnins University of Waikato
Charles P. Boyer
Charles P. Boyer University of New Mexico
Avner Friedman
Avner Friedman The Ohio State University
Pavel Winternitz
Pavel Winternitz University of Montreal
Jiri Patera
Jiri Patera University of Montreal
John Harnad
John Harnad University of Montreal

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