2,502 research outputs found
Concepts of Intertial and Gravitational Mass
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.Comment: LaTeX Format No Figure
Nuclear Abundances in Metallic Hydride Electrodes of Electrolytic Chemical Cells
Low energy nuclear transmutations have been reported in experimental chemical
electrolytic cells employing metallic hydride electrodes. Assuming that the
nuclear transmutations are induced by ultra-low momentum neutron absorption,
the expected chemical cell nuclear abundances are discussed on the basis of a
neutron optical potential model. The theoretical results are in satisfactory
agreement with available experimental chemical cell data. Some implications of
these laboratory nuclear transmutations for r- s-process models of the neutron
induced solar system and galactic nuclear abundance are briefly explored.Comment: 6 pages *.TeX format, 3 figures *.eps forma
Bose Condensation and Superfluidity in Finite Rotating Bose Systems
There is a long standing problem about how close a connection exists between
superfluidity and Bose condensation. Employing recent technology, for the case
of confined finite Bose condensed systems in TOP traps, these questions
concerning superfluidity and Bose condensation can be partially resolved if the
velocity profile of the trapped atoms can be directly measured.Comment: 5 page
Absorption of Nuclear Gamma Radiation by Heavy Electrons on Metallic Hydride Surfaces
Low energy nuclear reactions in the neighborhood of metallic hydride surfaces
may be induced by ultra-low momentum neutrons. Heavy electrons are absorbed by
protons or deuterons producing ultra low momentum neutrons and neutrinos. The
required electron mass renormalization is provided by the interaction between
surface electron plasma oscillations and surface proton oscillations. The
resulting neutron catalyzed low energy nuclear reactions emit copious prompt
gamma radiation. The heavy electrons which induce the initially produced
neutrons also strongly absorb the prompt nuclear gamma radiation, re-emitting
soft photons. Nuclear hard photon radiation away from the metallic hydride
surfaces is thereby strongly suppressed.Comment: ReVTeX format 6 pages no figure
Bose Condensates in TOP Traps Exhibit Circulating Superfluid Flows
For spin one atoms localized in a quadrapole magnetic field gradient, the
atoms may be impeded from spin flipping their way out from the center of the
trap by the application of a rotating uniform magnetic field. From a quantum
mechanical viewpoint, such a trap for a Bose condensate is equivalent to having
a superfluid in a rotating bucket. Vorticity is then expected to be induced in
the condensate fluid flow without the application of any further external
perturbations.Comment: 4 page
Theoretical Standard Model Rates of Proton to Neutron Conversions Near Metallic Hydride Surfaces
The process of radiation induced electron capture by protons or deuterons
producing new ultra low momentum neutrons and neutrinos may be theoretically
described within the standard field theoretical model of electroweak
interactions. For protons or deuterons in the neighborhoods of surfaces of
condensed matter metallic hydride cathodes, such conversions are determined in
part by the collective plasma modes of the participating charged particles,
e.g. electrons and protons. The radiation energy required for such low energy
nuclear reactions may be supplied by the applied voltage required to push a
strong charged current across a metallic hydride surface employed as a cathode
within a chemical cell. The electroweak rates of the resulting ultra low
momentum neutron production are computed from these considerations.Comment: ReVTeX format 12 pages and 4 *.eps figure
Physical Kinetics of Ferroelectric Hysteresis
The physical kinetics of single domain ferroelectric materials are studied
using Landau-Khalatnikov equation. The hysteretic curves are obtained
numerically. The effective coercive electric field theoretically varies with
the driving amplitude and frequency. The effects of thermal noise are explored
using the Fokker-Planck kinetic equation. The ferroelectric switching times are
discussed and Quantum effects are briefly explored.Comment: ReVTeX with three *eps figures. Six page
Quantum Interference and the Trapped Bose Condensed System
In experiments involving Bose condensed atoms trapped in magnetic bottles,
plugging the hole in the bottle potential with a LASER beam produces a new
potential with two minima, and thus a condensate order parameter (i.e. wave
function) with two maxima. When the trapping potential is removed and the
condensate explodes away from the trap, the two wave function maxima act as two
coherent sources which exhibit amplitude interference. A simplified theoretical
treatment of this experimental effect is provided by considering momentum
distributions.Comment: 4 page
Szeg\"o via Jacobi
At present there exist numerous different approaches to results on Toeplitz
determinants of the type of Szeg\"o's strong limit theorem. The intention of
this paper is to show that Jacobi's theorem on the minors of the inverse matrix
remains one of the most comfortable tools for tackling the matter. We repeat a
known proof of the Borodin-Okounkov formula and thus of the strong Szeg\"o
limit theorem that is based on Jacobi's theorem. We then use Jacobi's theorem
to derive exact and asymptotic formulas for Toeplitz determinants generated by
functions with nonzero winding number. This derivation is new and completely
elementaryComment: 15 pages, LaTe
From Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities
The paper is concerned with a sequence of constants which appear in several
problems. These problems include the minimal eigenvalue of certain positive
definite Toeplitz matrices, the minimal eigenvalue of some higher-order
ordinary differential operators, the norm of the Green kernels of these
operators, the best constant in a Wirtinger-Sobolev inequality, and the
conditioning of a special least squares problem. The main result of the paper
gives the asymptotics of this sequence.Comment: 14 pages, LaTe
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