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Journal Articles

Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space

Caroline M. Cochran, Raymond G. McLenaghan, Roman G. Smirnov

J. Math. Phys. 58, 063513 (2017)

https://doi.org/10.1063/1.4983998

Published: June 2017

View articletitled, Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space

Journal Articles

Equivalence problem for the orthogonal webs on the 3-sphere

Caroline M. Cochran, Raymond G. McLenaghan, Roman G. Smirnov

J. Math. Phys. 52, 053509 (2011)

https://doi.org/10.1063/1.3578773

Published: May 2011

View articletitled, Equivalence problem for the orthogonal webs on the 3-sphere

Journal Articles

Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry

Joshua T. Horwood, Raymond G. McLenaghan, Roman G. Smirnov

J. Math. Phys. 50, 053507 (2009)

https://doi.org/10.1063/1.3094719

Published: May 2009

View articletitled, Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry

Journal Articles

Erratum: “A class of superintegrable systems of Calogero type” [J. Math. Phys. 47, 093505 (2006)]

Roman G. Smirnov, Pavel Winternitz

J. Math. Phys. 48, 079902 (2007)

https://doi.org/10.1063/1.2749406

Published: July 2007

View articletitled, Erratum: “A class of superintegrable systems of Calogero type” [J. Math. Phys. 47, 093505 (2006)]

Journal Articles

A class of superintegrable systems of Calogero type

Roman G. Smirnov, Pavel Winternitz

J. Math. Phys. 47, 093505 (2006)

https://doi.org/10.1063/1.2345472

Published: September 2006

View articletitled, A class of superintegrable systems of Calogero type

Journal Articles

Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature

Roman G. Smirnov, Jin Yue

J. Math. Phys. 45, 4141–4163 (2004)

https://doi.org/10.1063/1.1805728

Published: November 2004

View articletitled, Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature

Journal Articles

An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics

Raymond G. McLenaghan, Roman G. Smirnov, Dennis The

J. Math. Phys. 45, 1079–1120 (2004)

https://doi.org/10.1063/1.1644902

Published: March 2004

View articletitled, An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics

Journal Articles

Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the O(4) -symmetric Yang–Mills theories of Yatsun

Raymond G. McLenaghan, Roman G. Smirnov, Dennis The

J. Math. Phys. 43, 1422–1440 (2002)

https://doi.org/10.1063/1.1445501

Published: March 2002

View articletitled, Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the O(4) -symmetric Yang–Mills theories of Yatsun

Journal Articles

A class of Liouville-integrable Hamiltonian systems with two degrees of freedom

Raymond G. McLenaghan, Roman G. Smirnov

J. Math. Phys. 41, 6879–6889 (2000)

https://doi.org/10.1063/1.1288799

Published: October 2000

View articletitled, A class of Liouville-integrable Hamiltonian systems with two degrees of freedom

Journal Articles

Magri–Morosi–Gel’fand–Dorfman’s bi-Hamiltonian constructions in the action-angle variables

Roman G. Smirnov

J. Math. Phys. 38, 6444–6454 (1997)

https://doi.org/10.1063/1.532221

Published: December 1997

View articletitled, Magri–Morosi–Gel’fand–Dorfman’s bi-Hamiltonian constructions in the action-angle variables

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Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space

Equivalence problem for the orthogonal webs on the 3-sphere

Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry

Erratum: “A class of superintegrable systems of Calogero type” [J. Math. Phys. 47, 093505 (2006)]

A class of superintegrable systems of Calogero type

Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature

An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics

Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the O(4) -symmetric Yang–Mills theories of Yatsun

A class of Liouville-integrable Hamiltonian systems with two degrees of freedom

Magri–Morosi–Gel’fand–Dorfman’s bi-Hamiltonian constructions in the action-angle variables

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