Graduate Student Papers (Physics)

The Quantum Anharmonic Potential with the Linear Delta Expansion

Luis M. Sandoval — Fri, 22 Jun 2007 14:16:54 PDT

In this report the problem of solving the Schrödinger equation for an anharmonic potential is treated using the technique known as the linear delta expansion. The method works by identifying three different scales in the problem: an asymptotic scale, which depends uniquely on the form of the potential at large distances; an intermediate scale, still characterized by an exponential decay of the wavefunction; and, finally, a short distance scale, in which the wavefunction is sizable. The method is found to be suitable to obtain both energy eigenvalues and wavefunctions.

Modelling Stochastic Gene Expression

Olienka Patricia Fernandez — Fri, 22 Jun 2007 14:02:47 PDT

The Rotundity of Large Planetary Objects

Adesanwo Moradeyo — Fri, 22 Jun 2007 13:53:37 PDT

The most obvious structural feature of planetary bodies is their roundness. This arises because of the dominate roles of the two effects of gravity and case of the deformation of matter, whether gas, liquid or solid. This project is about proving and solving out the time scale (τ ) of flow restoring the body to spherical shape when we consider a slightly deformed self-gravitating sphere and also checking for spherical of different planetary objects.

Symmetry Operator for the Maxwell Equations

Jose O. Andrade — Fri, 22 Jun 2007 13:43:36 PDT

In this work is shown that when the background space-time is type D solution of the Einstein vacuum equations with or without cosmological constant, a symmetry operator can be found for the Maxwell equations, as a consequence of that each component of the electromagnetic spinor satisfies a decoupled equation and that all the vacuum type D metrics admit a two index Killing spinor. Besides, the Maxwell equations are solved when the background space-time is the Carter A metric.