The two-body multipole problem of electrodynamics

A 2-body system composed of two objects having arbitrary distributions of charge and current is discussed. An expression for the velocity dependent potential between these two objects has been obtained in the non-relativistic approximation. This potential consists of two parts viz. a velocity independent scalar potential Φ_eff and another part which is linearly dependent on the relative velocity between the objects. The second part naturally suggests a vector potential A_eff. The potentials have been expanded into multipole terms. It has been found that Φ_eff is a sum of two components viz. Φ_EE and Φ_MM such that each multipole term in Φ_EE represents an interaction between the electric multipoles of the two systems, each term in Φ_MM represents an interaction between their magnetic multipoles whereas each term in A_eff represents an interaction between an electric multipole of one and a magnetic multipole of the other. The results have been applied to the interaction between an electric dipole and a magnetic dipole. The symmetry among the multipole terms in A_eff suggests vanishing vector potential between two identical objects. A corollary of this appears to be absence of spin orbit interaction between two identical particles in the same spin state.     

Bound state solutions of the two-electron Dirac-Coulomb equation

We show that the Dirac-Coulomb Hamiltonian hasnormalizable eigenfunctions corresponding to bound states.     

On anomalous drift mobility results in α-silicon alloys

Standard carrier drift experiments using a nano second pulsed laser have been performed on near micron thick α-Si alloys sandwiched between blocking metal and injecting contacts. Our results show that the transient response is only partially due to the drifting carriers. Another major contribution comes from the previously neglected time-dependent relaxation of the Schottky barrier space charge layer after excitation. The accompanying current resembles a slow dispersive drift of carriers. Consequently, generally accepted estimates for the drift mobility which ignored this extra current may therefore be unreliable.     

Investigation of singularities in general relativity

The problem of singularities for a non-symmetric and isentropic motion of a perfect fluid under the assumption of adiabatic thermodynamic processes is investigated from the standpoint of a local observer. It is shown that, whatever the distribution of matter might be, there occurred a singularity in the past in the non-rotating parts of the universe and it must occur again in the future if the universe is closed. It is further shown that the occurrence of a singularity in a rotating fluid seems inevitable, when the relativistic equation of state is considered, because of extremely high concentration of rest mass, though the possibility of its avoidance may not be ignored.     

A RAPID PROCEDURE FOR THE PURIFICATION OF 124 kDALTON PHYTOCHROME FROM AVENA

Abstract— A modification of previously published procedures is described which permits the preparation of high-purity 124 kDa phytochrome within 14 h. The last 5 h are used for chromatography on a molecular sieve column, so all the handling steps are completed within 9 h. The procedure is simpler and faster than previously published methods.     

The System Bi2O3–R2O3 (R=Y,Gd)

A new face centered cubic phase of composition Bi₃RO₆ (R?Y, Gd) is reported, and details of the Bi₂O₃–R₂O₃ (R?Y, Gd) phase diagrams are discussed. Similar compositions with R?Tb, Dy, Hc, Er are examined.     

Analytic continued fraction theory for a class of confinement potentials

We study a general class of confinement potentials in Schrödinger theory using the analytic theory of continued fractions. We construct an infinite continued fraction representation for the Green's function and study its convergence, its analytic properties in the major coupling constant and its relation to the perturbation series. We prove the existence of normalizable confined state eigensolutions with equally spaced energy levels if certain constraints on the coupling constants of the theory are satisfied: we also show that under a separate set of constraints neither bound nor confined states exist.     

Monte Carlo simulations on a rigid-rod model for a langmuir monolayer

A monolayer of amphiphilic molecules on water surface (Langmuir monolayer) at the so-called “solid” phase is studied using Monte Carlo simulations. Each molecule is considered to be a rigid rod, one end (the hydrophilic “head”) of which is assumed to be fixed on a two-dimensional lattice, while the other end (the hydrophobic “tail”) interacts with its nearest and next-nearest neighbours through the Lennard-Jones potential. With increase in temperature, the system undergoes a first-order transition from a low-tilt to a high-tilt phase. With increase in tail-length, the two-phase coexistence region decreases and the transition becomes sharper.     

Conditions for the relativistic virial theorem for one electron

Conditions for the usual form of one-electron relativistic virial theorem to be satisfied are derived and illustrated. These can be applied to generate quality basic spinors for solving a one-electron Dirac equation.