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Journal Articles

Nondegenerate three-dimensional complex Euclidean superintegrable systems and algebraic varieties

E. G. Kalnins, J. M. Kress, W. Miller, Jr.

J. Math. Phys. 48, 113518 (2007)

https://doi.org/10.1063/1.2817821

Published: November 2007

View articletitled, Nondegenerate three-dimensional complex Euclidean superintegrable systems and algebraic varieties

Journal Articles

Exact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variables

E. G. Kalnins, W. Miller, Jr., G. S. Pogosyan

J. Math. Phys. 48, 023503 (2007)

https://doi.org/10.1063/1.2436733

Published: February 2007

View articletitled, Exact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variables

Journal Articles

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

E. G. Kalnins, J. M. Kress, W. Miller, Jr.

J. Math. Phys. 47, 093501 (2006)

https://doi.org/10.1063/1.2337849

Published: September 2006

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

Journal Articles

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

E. G. Kalnins, J. M. Kress, W. Miller, Jr.

J. Math. Phys. 47, 043514 (2006)

https://doi.org/10.1063/1.2191789

Published: April 2006

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

Journal Articles

Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries

E. G. Kalnins, W. Miller, Jr., G. S. Pogosyan

J. Math. Phys. 47, 033502 (2006)

https://doi.org/10.1063/1.2174237

Published: March 2006

View articletitled, Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries

Journal Articles

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

E. G. Kalnins, J. M. Kress, W. Miller, Jr.

J. Math. Phys. 46, 103507 (2005)

https://doi.org/10.1063/1.2037567

Published: October 2005

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

Journal Articles

Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory

E. G. Kalnins, J. M. Kress, W. Miller, Jr.

J. Math. Phys. 46, 053509 (2005)

https://doi.org/10.1063/1.1897183

Published: April 2005

View articletitled, Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory

Journal Articles

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

E. G. Kalnins, J. M. Kress, W. Miller, Jr.

J. Math. Phys. 46, 053510 (2005)

https://doi.org/10.1063/1.1894985

Published: April 2005

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

Journal Articles

Superintegrable systems in Darboux spaces

E. G. Kalnins, J. M. Kress, W. Miller, Jr., P. Winternitz

J. Math. Phys. 44, 5811–5848 (2003)

https://doi.org/10.1063/1.1619580

Published: December 2003

View articletitled, Superintegrable systems in Darboux spaces

Journal Articles

Complete sets of invariants for dynamical systems that admit a separation of variables

E. G. Kalnins, J. M. Kress, W. Miller, Jr., G. S. Pogosyan

J. Math. Phys. 43, 3592–3609 (2002)

https://doi.org/10.1063/1.1484540

Published: July 2002

View articletitled, Complete sets of invariants for dynamical systems that admit a separation of variables

Journal Articles

Superintegrability in a two-dimensional space of nonconstant curvature

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

J. Math. Phys. 43, 970–983 (2002)

https://doi.org/10.1063/1.1429322

Published: February 2002

View articletitled, Superintegrability in a two-dimensional space of nonconstant curvature

Journal Articles

Coulomb-oscillator duality in spaces of constant curvature

E. G. Kalnins, W. Miller, Jr., G. S. Pogosyan

J. Math. Phys. 41, 2629–2657 (2000)

https://doi.org/10.1063/1.533263

Published: May 2000

View articletitled, Coulomb-oscillator duality in spaces of constant curvature

Journal Articles

Superintegrability on the two-dimensional hyperboloid. II

E. G. Kalnins, W. Miller, Jr., Ye. M. Hakobyan, G. S. Pogosyan

J. Math. Phys. 40, 2291–2306 (1999)

https://doi.org/10.1063/1.532864

Published: May 1999

View articletitled, Superintegrability on the two-dimensional hyperboloid. II

Journal Articles

Superintegrability in three-dimensional Euclidean space

E. G. Kalnins, G. C. Williams, W. Miller, Jr., G. S. Pogosyan

J. Math. Phys. 40, 708–725 (1999)

https://doi.org/10.1063/1.532699

Published: February 1999

View articletitled, Superintegrability in three-dimensional Euclidean space

Journal Articles

Superintegrability on the two-dimensional hyperboloid

E. G. Kalnins, W. Miller, Jr., G. S. Pogosyan

J. Math. Phys. 38, 5416–5433 (1997)

https://doi.org/10.1063/1.531951

Published: October 1997

View articletitled, Superintegrability on the two-dimensional hyperboloid

Journal Articles

Integrability, Stäckel spaces, and rational potentials

E. G. Kalnins, S. Benenti, Willard Miller, Jr.

J. Math. Phys. 38, 2345–2365 (1997)

https://doi.org/10.1063/1.531977

Published: May 1997

View articletitled, Integrability, Stäckel spaces, and rational potentials

Journal Articles

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

E. G. Kalnins, W. Miller, Jr., G. S. Pogosyan

J. Math. Phys. 37, 6439–6467 (1996)

https://doi.org/10.1063/1.531786

Published: December 1996

View articletitled, Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions

Journal Articles

Models of q‐algebra representations: q‐integral transforms and ‘‘addition theorems’’

E. G. Kalnins, Willard Miller, Jr.

J. Math. Phys. 35, 1951–1975 (1994)

https://doi.org/10.1063/1.530581

Published: April 1994

View articletitled, Models of q‐algebra representations: q‐integral transforms and ‘‘addition theorems’’

Journal Articles

Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet

E. G. Kalnins, V. B. Kuznetsov, Willard Miller, Jr.

J. Math. Phys. 35, 1710–1731 (1994)

https://doi.org/10.1063/1.530566

Published: April 1994

View articletitled, Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet

Journal Articles

Models of q‐algebra representations: Matrix elements of the q‐oscillator algebra

E. G. Kalnins, Willard Miller, Jr., Sanchita Mukherjee

J. Math. Phys. 34, 5333–5356 (1993)

https://doi.org/10.1063/1.530308

Published: November 1993

View articletitled, Models of q‐algebra representations: Matrix elements of the q‐oscillator algebra

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Nondegenerate three-dimensional complex Euclidean superintegrable systems and algebraic varieties

Exact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variables

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

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

Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries

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

Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory

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

Superintegrable systems in Darboux spaces

Complete sets of invariants for dynamical systems that admit a separation of variables

Superintegrability in a two-dimensional space of nonconstant curvature

Coulomb-oscillator duality in spaces of constant curvature

Superintegrability on the two-dimensional hyperboloid. II

Superintegrability in three-dimensional Euclidean space

Superintegrability on the two-dimensional hyperboloid

Integrability, Stäckel spaces, and rational potentials

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

Models of q‐algebra representations: q‐integral transforms and ‘‘addition theorems’’

Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet

Models of q‐algebra representations: Matrix elements of the q‐oscillator algebra

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