Charles J. Goebel

Quantized vortices around wavefunction nodes. II

Quantized vortices can occur around nodes of wavefunctions. This fact, discovered by Dirac (1931) but little noted since, is rederived here and examples are discussed. The derivation depends only on the wavefunction being single valued and continuous. Since the derivation does not depend upon the dynamical equations, the quantized vortices are expected to occur for many types of waves (i.e., electromagnetic, acoustic, etc.). Such vortices have appeared in the calculations (McCullough and Wyatt, Kuppermann) of the H + H2 molecular collisions and play a role in the chemical kinetics. In a companion paper, it is shown that quantized vortices occur when optical waves are internally reflected from the face of a prism or particle beams are reflected from potential energy barriers.

On the Sine-Gordon S Matrix

On donne une deduction heuristique de la matrice S du secteur boson du modele sinus-Gordon. On etudie comment cette matrice S fait pour etre si simple

Letter: Gödel-Type Space-Time Metrics

A simple group theoretic derivation is given of the family of space-time metrics with isometry group SO(2,1) × SO(2) × ℜ first described by Gödel, of which the Gödel stationary cosmological solution is the member with a perfect-fluid stress-energy tensor. Other members of the family are shown to be interpretable as cosmological solutions with an electrically charged perfect fluid and a magnetic field.

Comment on “constants of motion for superconductor arrays”

Abstract The “globally coupled” system of equations of motion recently considered by Watanabe and Strogatz [Physica D 74 (1994) 197–253] is shown to be a system of Riccati equations, and its integrability follows from the Riccati transformation to linear form. A simple demontration is given of the independence of a set of constants of motion.

Binding of Nuclei to Monopoles

The Hamiltonian describing the motion of a nucleus in the magnetic field of a monopole is

Vacuum Anti-Shielding of Monopoles

H = \frac{1} {{2M}}\left[ {p_r^2 + \frac{{\Lambda ^2 - \nu ^2 - \eta \vec S\cdot\hat r}} {{r^2 }}} \right]

Comment on "MF-dependent lifetimes due to hyperfine induced interference effects".

(1) where