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Journal Articles

Complete separability of the Hamilton–Jacobi equation for the charged particle orbits in a Liénard–Wiechert field

Raymond G. McLenaghan, Giovanni Rastelli, Carlos Valero

J. Math. Phys. 61, 122903 (2020)

https://doi.org/10.1063/5.0030305

Published: December 2020

View articletitled, Complete separability of the Hamilton–Jacobi equation for the charged particle orbits in a Liénard–Wiechert field

Journal Articles

Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces

Carlos Valero, Raymond G. McLenaghan

J. Math. Phys. 60, 033501 (2019)

https://doi.org/10.1063/1.5043066

Published: March 2019

View articletitled, Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces

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

Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature

Krishan Rajaratnam, Raymond G. McLenaghan

J. Math. Phys. 55, 083521 (2014)

https://doi.org/10.1063/1.4893335

Published: August 2014

View articletitled, Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature

Journal Articles

Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation

Krishan Rajaratnam, Raymond G. McLenaghan

J. Math. Phys. 55, 013505 (2014)

https://doi.org/10.1063/1.4861707

Published: January 2014

View articletitled, Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation

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

Symmetry operators for Dirac’s equation on two-dimensional spin manifolds

Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli, Shane N. Smith

J. Math. Phys. 50, 053516 (2009)

https://doi.org/10.1063/1.3115042

Published: May 2009

View articletitled, Symmetry operators for Dirac’s equation on two-dimensional spin manifolds

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

Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space

Joshua T. Horwood, Raymond G. McLenaghan

J. Math. Phys. 49, 023501 (2008)

https://doi.org/10.1063/1.2823971

Published: February 2008

View articletitled, Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space

Journal Articles

Invariant classification of the rotationally symmetric R -separable webs for the Laplace equation in Euclidean space

Mark Chanachowicz, Claudia M. Chanu, Raymond G. McLenaghan

J. Math. Phys. 49, 013511 (2008)

https://doi.org/10.1063/1.2834921

Published: January 2008

View articletitled, Invariant classification of the rotationally symmetric R -separable webs for the Laplace equation in Euclidean space

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

Note on the Bertotti–Robinson electromagnetic universe

Nessim Tariq, Raymond G. McLenaghan

J. Math. Phys. 19, 349–351 (1978)

https://doi.org/10.1063/1.523675

Published: February 1978

View articletitled, Note on the Bertotti–Robinson electromagnetic universe

Journal Articles

On a solution of the Einstein–Maxwell equations admitting a nonsingular electromagnetic field

Raymond G. McLenaghan, Nessim Tariq

J. Math. Phys. 17, 2192–2197 (1976)

https://doi.org/10.1063/1.522864

Published: December 1976

View articletitled, On a solution of the Einstein–Maxwell equations admitting a nonsingular electromagnetic field

Journal Articles

A new solution of the Einstein–Maxwell equations

Raymond G. McLenaghan, Nessim Tariq

J. Math. Phys. 16, 2306–2312 (1975)

https://doi.org/10.1063/1.522461

Published: November 1975

View articletitled, A new solution of the Einstein–Maxwell equations

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Complete separability of the Hamilton–Jacobi equation for the charged particle orbits in a Liénard–Wiechert field

Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces

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

Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature

Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation

Equivalence problem for the orthogonal webs on the 3-sphere

Symmetry operators for Dirac’s equation on two-dimensional spin manifolds

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

Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space

Invariant classification of the rotationally symmetric R -separable webs for the Laplace equation in Euclidean space

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

Note on the Bertotti–Robinson electromagnetic universe

On a solution of the Einstein–Maxwell equations admitting a nonsingular electromagnetic field

A new solution of the Einstein–Maxwell equations

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