Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Raymond G. McLenaghan"'
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 057 (2011)
A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and met
Externí odkaz:
https://doaj.org/article/8ab995a0f0af444cb5fad8b87015b0f7
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 070 (2007)
The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
Externí odkaz:
https://doaj.org/article/8508bce087c14dda9f11aac2240a7f7a
Publikováno v:
International Journal of Geometric Methods in Modern Physics. 18
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 does not admit regular separation in any coordinate system in any pse
Publikováno v:
General Relativity and Gravitation. 52
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 calibration or ground control assistance. The design is discussed in
Publikováno v:
Journal of Mathematical Physics. 61:122903
We classify all orthogonal coordinate systems in M4, allowing complete additively separated solutions of the Hamilton–Jacobi equation for a charged test particle in the Lienard–Wiechert field generated by any possible given motion of a point-char
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. 35:199-210
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
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. This theory revolves around a special type of conformal Killing tenso
Autor:
Raymond G. McLenaghan, Carlos Valero
Publikováno v:
Journal of Mathematical Physics. 60:033501
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 this theory simultaneously to both the three-dimensional Hyperbolic an
Autor:
Dong Eui Chang, Raymond G. McLenaghan
Publikováno v:
IEEE Transactions on Automatic Control. 58:1046-1050
A linear transformation of velocity for a mechanical system is said to quasi-linearize the equations of motion of the system if it eliminates all terms quadratic in the velocity. It is well-known that controller/observer synthesis becomes tractable w
Autor:
Dong Eui Chang, Raymond G. McLenaghan
Publikováno v:
IFAC Proceedings Volumes. 45:184-187
A simple mechanical system is said be quasi-linearizable if there is a linear transformation of velocity that eliminates all terms quadratic in the velocity from the equations of motion. It is well-known that controller/observer synthesis becomes tra