Bosonic end perturbative calculations for quantum mechanical anyon systems require a regularization. I regularize by adding a specific δ-function potential to the Hamiltonian. The reliability of this regularization procedure is verified by comparing its results for the 2-anyon in harmonic potential system with the known exact solutions. I then use the δ-function regularized bosonic end perturba...

Thin, cylindrical metal chimes can be used to play in a variety of scales requiring non-harmonic spectra The speclrum Il'quired for the chimes to have collSOIllllltintervals in a given non-harmonic ocale can be detertnined acoord ingtoamethoddevelopedby Sethares,based on the theory of dissonance proposed by Plomp andLevelt First order perturbation theory was appHedto eontrol the frequencies of ...

The excitation-induced stability (EIS) phenomenon in a harmonically excited bistable Duffing oscillator is studied in this paper. Criteria to predict system and excitation conditions necessary to maintain EIS are derived through a combination of the method of harmonic balance, perturbation theory, and stability theory for Mathieu’s equation. Accuracy of the criteria is verified by analytical an...

The lattice coherency and critical radii for Al3X precipitates in an aluminum matrix were computed using firstprinciples methods. From density functional perturbation theory and the quasi-harmonic approximation, the unit cell parameters as a function of temperature were determined for Al3Sc, Al3Zr, Al3Ti, and Al3Nb in the L12 structure, and for Al3Ti and Al3Nb in their more stable DO22 structur...

Anomalous reversals of the zonal equatorial electric field component have sometimes been observed when the interplanetary magnetic field turns northward from a steady southerly direction. We suggest that this reversal is associated with a sudden change in the convection electric field in the magnetosphere and present measurements to support this explanation. Although slower variations in the co...

Based on thermodynamic principles, we derive expressions quantifying the non-harmonic vibrational behavior of materials, which are rigorous yet easily evaluated from experimentally available data for the thermal expansion coefficient and the phonon density of states. These experimentally-derived quantities are valuable to benchmark first-principles theoretical predictions of harmonic and non-ha...

In the persesnt work an artificial satellite theory is developed including all the zonal harmonics of the geopotential besides the post-Newtnian effects arising from the Schwarzschild solution and the Earth's oblateness. The Hamiltonian is formed in terms of the Deluanay canonical variables allowing for the coupling between the Newtonian and the post-Newtonian terms. Small quantities are retain...

This article examines the dynamical coupling between the stratosphere and troposphere by considering the effect of direct perturbations to stratospheric potential vorticity on the evolution of midlatitude baroclinic instability in a simple extension of an Eady model. A simulation in which stratospheric potential vorticity is exactly zero is used as a control case, and both zonally symmetric and...