Raymond McLenaghan
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Canadian theoretical physicist and mathematician
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Raymond McLenaghanmathematics Degrees
Mathematics
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Measure Theory
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Mathematics Physics
Raymond McLenaghan's Degrees
- PhD Physics University of British Columbia
Why Is Raymond McLenaghan Influential?
(Suggest an Edit or Addition)According to Wikipedia, Raymond George McLenaghan is a Canadian theoretical physicist and mathematician. With Carminati, he is known for Carminati–McLenaghan invariants. Notes External links
Raymond McLenaghan's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Generalized total angular momentum operator for the Dirac equation in curved space-time (1979) (255)
- Algebraic invariants of the Riemann tensor in a four‐dimensional Lorentzian space (1991) (126)
- An explicit determination of the empty space-times on which the wave equation satisfies Huygens' principle (1969) (73)
- Quantum numbers for Dirac spinor fields on a curved space-time (1979) (67)
- Exhaustive integration and a single expression for the general solution of the type D vacuum and electrovac field equations with cosmological constant for a nonsingular aligned Maxwell field (1984) (59)
- Separation of variables and symmetry operators for the neutrino and Dirac equations in the space‐times admitting a two‐parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences (1984) (57)
- Invariant Classification of Orthogonally Separable Hamiltonian Systems in Euclidean Space (2005) (56)
- Generalized symmetries in mechanics and field theories (2002) (47)
- Symmetry operators for neutrino and Dirac fields on curved spacetime (1984) (46)
- An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics (2004) (37)
- Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the O(4)-symmetric Yang–Mills theories of Yatsun (2002) (32)
- Geometrical classification of Killing tensors on bidimensional flat manifolds (2005) (31)
- Killing tensors as irreducible representations of the general linear group (2004) (31)
- On the validity of Huygens' principle for second order partial differential equations with four independent variables. Part I : derivation of necessary conditions (1974) (30)
- Conformally flat solutions of the Einstein−Maxwell equations for null electromagnetic fields (1975) (30)
- Riemannian-Maxwellian invertible structures in general relativity (1979) (28)
- Orthogonal transitivity, invertibility, and null geodesic separability in type D electrovac solutions of Einstein’s field equations with cosmological constant (1981) (28)
- Symmetry operators for Maxwell’s equations on curved space-time (1992) (28)
- NP: A maple package for performing calculations in the Newman-Penrose formalism (1987) (26)
- Complex recurrent space-times (1972) (25)
- A geometrical approach to the problem of integrability of Hamiltonian systems by separation of variables (2001) (25)
- A new solution of the Einstein–Maxwell equations (1975) (24)
- An Ellipse Inequality (1977) (21)
- Theory of Algebraic Invariants of Vector Spaces of Killing Tensors: Methods for Computing the Fundamental Invariants (2004) (20)
- An improved algorithm for quartic equation classification and Petrov classification (1988) (18)
- A single expression for the general solution of Einstein's vacuum and electrovac field equations with cosmological constant for Petrov type D admitting a non-singular aligned Maxwell field (1983) (17)
- An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens' principle (1986) (16)
- The automatic conversion of spinor equations to dyad form in MAPLE (1992) (16)
- Symmetry operators for spin-½ relativistic wave equations on curved space-time (2000) (15)
- Intrinsic Characterizations of Orthogonal Separability for Natural Hamiltonians with Scalar Potentials on Pseudo-Riemannian Spaces (2002) (15)
- An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens' principle. Part III : Petrov type III space-times (1988) (15)
- Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation (2014) (15)
- Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature (2016) (14)
- Hamilton-Jacobi theory in three-dimensional Minkowski space via Cartan geometry (2009) (14)
- Spacetimes admitting Killing 2-spinors (1993) (14)
- Equivalence problem for the orthogonal webs on the 3-sphere (2010) (13)
- Nonexistence of Petrov type III Space-Times on which Weyl's Neutrino Equation or Maxwell's Equations satisfy Huygens' Principle † (2005) (12)
- Towards a classification of cubic integrals of motion (2004) (12)
- Generalized Master Equations for Wave Equation Separation in a Kerr or Kerr-Newman Black-Hole Background (1982) (11)
- Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature (2014) (11)
- A class of Liouville-integrable Hamiltonian systems with two degrees of freedom (2000) (11)
- An explicit determination of the Petrov type D space-times on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle (1990) (10)
- An explicit determination of the non-self-adjoint wave equations on curved space-time that satisfy Huygens' principle. Part I : Petrov type N background space-times (1988) (10)
- On Geometric Properties of Joint Invariants of Killing Tensors (2006) (10)
- Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space (2008) (10)
- Consequences of the validity of Huygens' principle for the conformally invariant scalar wave equation, Weyl's neutrino equation and Maxwell's equations on Petrov type II space-times (1991) (9)
- Geometric Criteria for the Quasi-Linearization of the Equations of Motion of Mechanical Systems (2013) (9)
- GROUP INVARIANTS OF KILLING TENSORS IN THE MINKOWSKI PLANE (2003) (8)
- Determination of all Petrov type-N space-times on which the conformally invariant scalar wave equation satisfies Huygen's principle (1984) (8)
- Complete separability of the Hamilton–Jacobi equation for the charged particle orbits in a Liénard–Wiechert field (2020) (8)
- R-separation of variables for the conformally invariant Laplace equation (2007) (8)
- On the validity of Huygens' principle for second order partial differential equations with four independent variables. II. A sixth necessary condition (1994) (7)
- Application of genetic algorithms to the algebraic simplification of tensor polynomials (1997) (7)
- FUNDAMENTAL COVARIANTS IN THE INVARIANT THEORY OF KILLING TENSORS (2005) (7)
- Huygens' principle for the non-self-adjoint scalar wave equation on Petrov type III space-times (2005) (6)
- Some new results on the validity of Huygens' principle for the scalar wave equation on a curved space-time (1984) (6)
- HADAMARD'S PROBLEM OF DIFFUSION OF WAVES (2008) (6)
- The classification of complete sets of operators commuting with the Dirac operator in Minkowski space-time (1988) (6)
- Invariant classification of the rotationally symmetric R-separable webs for the Laplace equation in Euclidean space (2007) (6)
- Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space (2017) (5)
- Separation of Variables for Systems of First-Order Partial Differential Equations and the Dirac Equation in Two-Dimensional Manifolds (2008) (5)
- On a solution of the Einstein–Maxwell equations admitting a nonsingular electromagnetic field (1976) (5)
- Transformation to pseudo-Cartesian coordinates in locally flat pseudo-Riemannian spaces (2007) (5)
- The 1881 problem of Morera revisited 1 (2002) (5)
- MapleTensor: progress report on a new system for performing indicial and component tensor calculations using symbolic computation (1996) (4)
- Symmetry operators for Dirac's equation on two-dimensional spin manifolds (2008) (4)
- Complete solution of Hadamard's problem for the scalar wave equation on Petrov type III space-times (2005) (4)
- An Explicit Determination of the Non-self-adjoint Wave Equations that Satisfy Huygens’ Principle on Petrov Type III Background Space-times (1997) (4)
- Symmetry operators and separation of variables for the Dirac equation on curved space (2010) (4)
- General Relativity and Relativistic Astrophysics: Proceedings of the 5th Canadian Conference (1994) (3)
- The validity of Huygens' principle for the conformally invariant scalar wave equation, Maxwell's equations and Weyl's neutrino equation on Petrov type D and type III space-times (1986) (3)
- Discrete relativistic positioning systems (2018) (3)
- Note on the Bertotti-Robinson Electromagnetic Universe (1978) (3)
- A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory (2001) (3)
- An invariant classification of cubic integrals of motion (2003) (2)
- Hamilton-Jacobi Theory Via Cartan Geometry (2014) (2)
- Comparison of algorithms for the symbolic computation of the NP spin coefficients and curvature components (1994) (2)
- Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces (2018) (2)
- An Example of a Non-Trivial, Non-Self-Adjoint Huygens Differential Equation in Four Independent Variables (2016) (2)
- General Relativity Calculations in Maple (1989) (2)
- Separability of the Toda Lattice (2000) (2)
- Mapletensor: a new system for performing indicial and component tensor calculations by computer (1995) (2)
- Concircular tensors in Spaces of Constant Curvature: With Applications to Orthogonal Separation of The Hamilton-Jacobi Equation (2014) (2)
- Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds ? (2011) (2)
- Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space (2018) (1)
- Huygens’ Principle and MAPLE’s NPspinor Package (2002) (1)
- Symmetry Operators for the Weyl Neutrino Equation on Curved Spacetime (1997) (1)
- The Validity of Huygens' Principle for the Wave Equation on Curved Space-time (1990) (0)
- Geometric theory of non-regular separation of variables and the bi-Helmholtz equation (2021) (0)
- Discrete relativistic positioning systems (2020) (0)
- Determination of recurrent space--times of the second order (1972) (0)
- Huygens' Principle for Weyl's Neutrino Equation and Maxwell's Equations in Petrov Type III Space-Times (1996) (0)
- Computer methods in general relativity: algebraic computing (1992) (0)
- R-SEPARATION FOR THE CONFORMAL LAPLACIAN (2007) (0)
- METRICS OF FOUR-DIMENSIONAL SYMMETRICAL LORENTZ SPACES. (1968) (0)
- Space--times containing a field of isotropic recurrent vectors (1973) (0)
- On the Quasi-Linearization of the Equations of Motion of Simple Mechanical Systems (2012) (0)
- Separation of Variables and Quantum Numbers for Neutrino Fields on a Curved Spacetime (1983) (0)
- Symmetry operators and separation of variables for Dirac's equation on two-dimensional spin manifolds with external fields (2014) (0)
- Hamilton-Jacobi Theory and Moving Frames ⋆ (2007) (0)
- The Validity of Huygens' Principle on Type II Space-Times (1989) (0)
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