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Mathematics

D-Index
44
Citations
5693
World Ranking
1624
National Ranking
6

Overview

Ernie G. Kalnins is affiliated with the University of Waikato in New Zealand. Their research primarily spans the field of Physics and Astronomy, with a focus on specialized subfields including Atomic and Molecular Physics, and Optics, as well as Statistical and Nonlinear Physics.

The main topics covered in their research include:

  • Advanced Fiber Laser Technologies
  • Quantum Mechanics and Non-Hermitian Physics
  • Nonlinear Waves and Solitons

Among recent scholarly contributions, Ernie G. Kalnins co-authored a publication titled Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators in 2020. This work was published in the journal Symmetry Integrability and Geometry Methods and Applications.

Their frequent coauthors include:

  • Bjorn K. Berntson
  • Willard Miller

Ernie G. Kalnins' research has appeared predominantly in the venue Symmetry Integrability and Geometry Methods and Applications. This reflects a focus on areas related to mathematical physics and integrability.

Best Publications

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

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

  • 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

  • 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

  • Superintegrability in a two-dimensional space of non-constant curvature

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

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

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

  • Superintegrability in a two-dimensional space of nonconstant curvature

    Ernie G. Kalnins;Jonathan M. Kress;P. Winternitz

  • 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

  • Wilson polynomials and the generic superintegrable system on the 2-sphere

    E. G. Kalnins;Willard Miller;S. Post

  • Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory

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

  • Coulomb-oscillator duality in spaces of constant curvature

    E. G. Kalnins;Willard Miller;G. S. Pogosyan

  • Sta¨kel equivalent integrable Hamiltonian systems

    C P Boyer;E G Kalnins;W Miller

  • Superintegrability in three-dimensional Euclidean space

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

  • Completeness of multiseparable superintegrability in E2,C

    E G Kalnins;W Miller;G S Pogosyan

  • Lie theory and separation of variables. 6. The equation iUt + Δ2U = 0

    C.P. Boyer;Ernie G. Kalnins;W. Miller

Frequent Co-Authors

Willard Miller
Willard Miller University of Minnesota
Pavel Winternitz
Pavel Winternitz University of Montreal
Charles P. Boyer
Charles P. Boyer University of New Mexico
Jiri Patera
Jiri Patera University of Montreal

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