Allan Widomhttps://works.bepress.com/awidom/Recent works by Allan Widomen-usCopyright (c) 2019 All rights reserved.Mon, 07 Jun 2010 07:00:00 +00003600Resonance damping in ferromagnets and ferroelectricshttps://works.bepress.com/awidom/30/The phenomenological equations of motion for the relaxation of ordered phases of magnetized and polarized crystal phases can be developed in close analogy with one another. For the case of magnetized systems, the driving magnetic field intensity toward relaxation was developed by Gilbert. For the case of polarized systems, the driving electric field intensity toward relaxation was developed by Khalatnikov. The transport times for relaxation into thermal equilibrium can be attributed to viscous sound wave damping via magnetostriction for the magnetic case and electrostriction for the polarization case.Mon, 07 Jun 2010 07:00:00 +0000https://works.bepress.com/awidom/30/ArticlesElectric dipole moments and polarizability in the quark-diquark model of the neutronhttps://works.bepress.com/awidom/28/For a bound state internal wave function respecting parity symmetry, it can be rigorously argued that the mean electric dipole moment must be strictly zero. Thus, both the neutron, viewed as a bound state of three quarks, and the water molecule, viewed as a bound state of ten electrons two protons and an oxygen nucleus, both have zero mean electric dipole moments. Yet, the water molecule is said to have a nonzero dipole moment strength $d=e\Lambda $ with $\Lambda_{H_2O} \approx 0.385\ \dot{A}$. The neutron may also be said to have an electric dipole moment strength with $\Lambda_{neutron} \approx 0.612\ fm$. The neutron analysis can be made experimentally consistent, if one employs a quark-diquark model of neutron structure.Fri, 01 Jan 2010 08:00:00 +0000https://works.bepress.com/awidom/28/ArticlesClassical Hamiltonian dynamics and Lie group algebrashttps://works.bepress.com/awidom/19/The classical Hamilton equations of motion yield a structure sufficiently general to handle an almost arbitrary set of ordinary differential equations. Employing elementary algebraic methods, it is possible within the Hamiltonian structure to describe many physical systems exhibiting Lie group symmetries. Elementary examples include magnetic moment precession and the mechanical orbits of color charged particles in classical non-abelian chromodynamics.B. Aycock et al.Tue, 01 Jan 2008 08:00:00 +0000https://works.bepress.com/awidom/19/ArticlesA primer for electro-weak induced low energy nuclear reactionshttps://works.bepress.com/awidom/8/In a series of papers, cited in the main body of the paper below, detailed calculations have been presented which show that electromagnetic and weak interactions can induce low energy nuclear reactions to occur with observable rates for a variety of processes. A common element in all these applications is that the electromagnetic energy stored in many relatively slow moving electrons can--under appropriate circumstances--be collectively transferred into fewer, much faster electrons with energies sufficient for the latter to combine with protons (or deuterons, if present) to produce neutrons via weak interactions. The produced neutrons can then initiate low energy nuclear reactions through further nuclear transmutations. The aim of this paper is to extend and enlarge upon various examples analyzed previously, present simplified order of magnitude estimates for each and to illuminate a common unifying theme amongst all of them.Tue, 01 Jan 2008 08:00:00 +0000https://works.bepress.com/awidom/8/ArticlesClassical analytical mechanics and entropy productionhttps://works.bepress.com/awidom/18/The usual canonical Hamiltonian or Lagrangian formalism of classical mechanics applied to macroscopic systems describes energy conserving adiabatic motion. If irreversible diabatic processes are to be included, then the law of increasing entropy must also be considered. The notion of entropy then enters into the general classical mechanical formalism. The resulting general formulation and its physical consequences are explored.Mon, 01 Jan 2007 08:00:00 +0000https://works.bepress.com/awidom/18/ArticlesElectronic transport in oxygen deficient ferromagnetic semiconducting TiO$_{2-\delta}$https://works.bepress.com/awidom/25/TiO$_{2-\delta}$ films were deposited on (100) Lanthanum aluminates LaAlO$_{3}$ substrates at a very low oxygen chamber pressure $P\approx 0.3$ mtorr employing a pulsed laser ablation deposition technique. In previous work, it was established that the oxygen deficiency in these films induced ferromagnetism. In this work it is demonstrated that this same oxygen deficiency also gives rise to semiconductor titanium ion impurity donor energy levels. Transport resistivity measurements in thin films of TiO$_{2-\delta}$ are presented as a function of temperature and magnetic field. Magneto- and Hall- resistivity is explained in terms of electronic excitations from the titanium ion donor levels into the conduction band.Mon, 01 Jan 2007 08:00:00 +0000https://works.bepress.com/awidom/25/ArticlesA new way to detect the Higgshttps://works.bepress.com/awidom/2/We describe a new technique to look for evidence of the Higgs mechanism. The usual method involves seeking evidence for the Higgs boson either directly or via the indirect effect that a virtual Higgs boson would have on a variety of Standard Model parameters. The new technique looks for Higgs field effects that are predicted to reduce the masses of heavy particles when they are in the presence of other heavy particles.Mon, 01 Jan 2007 08:00:00 +0000https://works.bepress.com/awidom/2/ArticlesEnergetic electrons and nuclear transmutations in exploding wireshttps://works.bepress.com/awidom/24/Nuclear transmutations and fast neutrons have been observed to emerge from large electrical current pulses passing through wire filaments which are induced to explode. The nuclear reactions may be explained as inverse beta transitions of energetic electrons absorbed either directly by single protons in Hydrogen or by protons embedded in other more massive nuclei. The critical energy transformations to the electrons from the electromagnetic field and from the electrons to the nuclei are best understood in terms of coherent collective motions of the many flowing electrons within a wire filament. Energy transformation mechanisms have thus been found which settle a theoretical paradox in low energy nuclear reactions which has remained unresolved for over eight decades. It is presently clear that nuclear transmutations can occur under a much wider range of physical conditions than was heretofore thought possible.A. Widom et al.Mon, 01 Jan 2007 08:00:00 +0000https://works.bepress.com/awidom/24/ArticlesConcepts of intertial and gravitational masshttps://works.bepress.com/awidom/6/The general relativistic notion of gravitational and inertial mass is discussed from the general viewpoint of the tidal forces implicit in the curvature and the Einstein field equations within ponderable matter. A simple yet rigorously general derivation is given for the Tolman gravitational mass viewpoint wherein the computation of gravitational mass requires both a rest energy contribution (the inertial mass) and a pressure contribution. The pressure contribution is extremely small under normal conditions which implies the equality of gravitational and inertial mass to a high degree of accuracy. However, the pressure contribution is substantial for conformal symmetric systems such as Maxwell radiation, whose constituent photons are massless. Implications of the Tolman mass for standard cosmology and standard high energy particle physics models are briefly explored.A. WidomSun, 01 Jan 2006 08:00:00 +0000https://works.bepress.com/awidom/6/ArticlesAsymptotic infrared fractal structure of the propagator for a charged fermionhttps://works.bepress.com/awidom/4/It is well known that the long-range nature of the Coulomb interaction makes the definition of asymptotic "in" and "out" states of charged particles problematic in quantum field theory. In particular, the notion of a simple particle pole in the vacuum charged particle propagator is untenable and should be replaced by a more complicated branch cut structure describing an electron interacting with a possibly infinite number of soft photons. Previous work suggests a Dirac propagator raised to a fractional power dependent upon the fine structure constant, however the exponent has not been calculated in a unique gauge invariant manner. It has even been suggested that the fractal "anomalous dimension" can be removed by a gauge transformation. Here, a gauge invariant nonperturbative calculation will be discussed yielding an unambiguous fractional exponent. The closely analogous case of soft graviton exponents is also briefly explored.Sun, 01 Jan 2006 08:00:00 +0000https://works.bepress.com/awidom/4/Articles