- N-machines, Free Energy and Lanczos Potential (2009) [Updated 4 years ago]
- Correspondence: ?On the Maxwell Tensor of a Point Charge in Arbitrary Motion' (2008) [Updated 1 decade ago]
- Derivation of Einstein's Equation, E = mc2, from the Classical Force Laws (2007) [Updated 1 decade ago]
- Matrix Elements
for the Coulomb Interaction (2006) [Updated 8 years ago] - Cross Antenna: An Experimental and Numerical Analysis (2006) [Updated 1 decade ago]
- Pocklington Equation Method Versus Curved Segments Technique for the Numerical Study of Circular Antennas (2006) [Updated 1 decade ago]
- Quaternions, Maxwell Equations and Lorentz Transformations (2005) [Updated 1 decade ago]
- A Necessary Algebraic Condition for R4 Embedded into E5 (2005) [Updated 1 decade ago]
- Optimization Method based on Genetic Algorithms (2005) [Updated 1 decade ago]
- Darboux Transformations and Isospectral Potentials in Quantum Mechanics (2002) [Updated 1 decade ago]
- Inactive Portion of the Radiative Part of the Li?nard-Wiechert Field (2002) [Updated 1 decade ago]
- A Potential for the Lanczos Spintensor in Kerr Geometry (1999) [Updated 1 decade ago]
- Lanczos Spintensor for the G?del Metric (1999) [Updated 1 decade ago]

- N-machines, Free Energy and Lanczos Potential (2009) [Updated 4 years ago]
We propose that the Lanczos spintensor may give theoretical support to N-machines via the Tewari's space vortex theory.

- Correspondence: ?On the Maxwell Tensor of a Point Charge in Arbitrary Motion' (2008) [Updated 1 decade ago]
- Derivation of Einstein's Equation, E = mc2, from the Classical Force Laws (2007) [Updated 1 decade ago]
In several recent papers we showed that choosing new sets of postulates, including classical (pre-Einstein) physics laws, within the main body of Einstein's special relativity theory (SRT) and applying the relativity principle, enables us to cancel the Lorentz transformation from the main body of SRT. In the present paper, and by following the same approach, we derive Einstein's equation E = mc

^{2}from classical physical laws such as the Lorentz force law and Newton's second law Einstein's equation is obtained without the usual approaches of thought experiment, conservation laws, considering collisions and also without the usual postulates of special relativity.In this paper we also identify a fundamental conceptual flaw that has persisted for the past 100 years. The flaw is interpreting the formula E = mc

^{2}as the equivalence between inertial mass and any type of energy and in all contexts. It is shown in several recent papers that this is incorrect, that this is a misinterpretation. What Einstein considered to be a central consequence of special relativity is in fact derivable from (pre-Einstein) classical considerations. E = mc^{2}becomes secondary, not fundamental, and whilst no doubt useful in certain circumstances, need not be valid in all generality. - Matrix Elements
for the Coulomb Interaction (2006) [Updated 8 years ago]We show that the Gregory-Newton infinite expansion for equidistant interpolation gives a simple approach to Laplace transform of Laguerre polynomials, which has an immediate usefulness to determine radial matrix elements for hydrogenlike atoms.

- Cross Antenna: An Experimental and Numerical Analysis (2006) [Updated 1 decade ago]
The cross antenna is a medium gain and circular polarization structure made of a conductor or strip line over a ground plane, following a cross contour of four or more branches. One end is feed by a generator and the other one is charged with a load impedance. This paper presents a theoretical and experimental analysis of an eight arms cross antenna, loaded with four different impedances. The theoretical study is made via the computational solution of Pocklington?s equation applied to the structure; experimental results are obtained over an antenna of a 12 AWG wire over a ground plane, working in 3.2 GHz. We present radiation efficiency, gain, field pattern, and axial rate results.

- Pocklington Equation Method Versus Curved Segments Technique for the Numerical Study of Circular Antennas (2006) [Updated 1 decade ago]
We present a mathematical model applying the general Pocklington equation to arbitrary shaped thin wire antennas. In order to simplify the antenna analysis this approach uses the point matching technique and a simplified kernel form. By means of this technique it is possible to increase the Method of Moments solution convergence and reduce computational time and effort. To exemplity this the procedure is applied to the well-known circular loop antenna. The obtained results are compared with those of Champagne method, which uses quadratic segments, in order to get a numerical solution for the Electric Field Integral Equation.

- Quaternions, Maxwell Equations and Lorentz Transformations (2005) [Updated 1 decade ago]
In this work: a) We show that the invariance of the Maxwell equations under duality rotations brings into scene to the complex vector (

*c B iE*? ?), whose components allow to construct a quaternionic equation for the electromagnetic field in vacuo. b) For any analytic function f of the complex variable z, it is possible to prove that is a Debye potential for itself, which permits to reformulate the corresponding Cauchy-Riemann relations. Here we show that the Fueter conditions- when z is a quaternion- also accept a similar reformulation and a very compact quaternionic expression. c) We exhibit how the rotations in three and four dimensions can be described through a complex matrix relation or equivalently by a quaternionic formula. - A Necessary Algebraic Condition for R4 Embedded into E5 (2005) [Updated 1 decade ago]
A necessary algebraic condition is obtained for the intrinsic geometry of any spacetime locally and isometrically embedded into a pseudo-Euclidean 5-space.

- Optimization Method based on Genetic Algorithms (2005) [Updated 1 decade ago]
The design of electromagnetic systems using methods of optimization have been carried out with deterministic methods. However, these methods are not efficient, because the object functions obtained from electromagnetic optimization problems are often highly non-linear, stiff, multiextreme and non-differential. The lack of a single method available to deal with multidimensional problems, including those with several goals to optimize, has generated the need to use numerical processes for optimization. This paper presents a method of global optimization based on genetic algorithms. The Genetic Algorithms are a versatile tool, which can be applied as a global optimization method to problems of electromagnetic engineering, because they are easy to implement to non-differentiable functions and discrete search spaces. It is also shown how, in some cases, genetic algorithms have been applied with success in electromagnetic problems, such as antenna design, far-field prediction, absorber coatings design, etc.

- Darboux Transformations and Isospectral Potentials in
Quantum Mechanics (2002) [Updated 1 decade ago]
We show that the Darboux transformations allow to construct generalized isospectral potentials for a given standard potential, this in the frame of the Schrodinger equation. An application is made for the Hulthan interaction.

- Inactive Portion of the Radiative Part of the Li?nard-Wiechert Field (2002) [Updated 1 decade ago]
A point charge in motion generates the Li?nard-Wiechert energy-momentum tensor. Teitelboim showed that this tensor splits into its bounded part ac B T and its radiative part ac R T . All the terms in ac B Tare know to contribute to the matter-field energy-momentum balance. In this paper the inactive part of ac R T is found, i.e., the terms do not contribute to the energy-momentum fluxes are shown.

- A Potential for the Lanczos Spintensor in Kerr Geometry (1999) [Updated 1 decade ago]
- Lanczos Spintensor for the G?del Metric (1999) [Updated 1 decade ago]