44 citations · 133 across the 19 of their papers we have counts for
20 papers
Geometric theory of non-regular separation of variables and the bi-Helmholtz equation
Claudia M Chanu, Basel Jayyusi, Raymond G McLenaghan
The geometric theory of additive separation of variables is applied to the search for multiplicative separated solutions of the bi-Helmholtz equation. It is shown that the equation…
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
We review the theory of orthogonal separation of variables on pseudo-Riemannian manifolds of constant non-zero curvature via concircular tensors and warped products. We then apply…
Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space
Carlos Valero, Raymond G. McLenaghan
We review a new theory of orthogonal separation of variables on pseudo-Riemannian spaces of constant zero curvature via concircular tensors and warped products. We then apply this…
Discrete Relativistic Positioning Systems
Sante Carloni, Lorenzo Fatibene, Marco Ferraris +2
We discuss the design for a discrete, immediate, simple relativistic positioning system (rPS) which is potentially able of self-positioning (up to isometries) and operating without…
Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature
Krishan Rajaratnam, Raymond G. McLenaghan, Carlos Valero
We review the theory of orthogonal separation of variables of the Hamilton-Jacobi equation on spaces of constant curvature, highlighting key contributions to the theory by Benenti.…
Symmetry operators and separation of variables for Dirac's equation on two-dimensional spin manifolds with external fields
Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli
The second order symmetry operators that commute with the Dirac operator with external vector, scalar and pseudo-scalar potentials are computed on a general two-dimensional spin-ma…