Angular Momentum Localization in Oval Billiards

Angular momentum localization in oval billiards

Angular momentum ceases to be the preferred basis for identifying dynamical localization in an oval billiard at large excentricity. We give reasons for this, and comment on the classical phase-space structure that is encoded in the wave functions of “leaky” dielectric resonators with oval cross section. Geometric optics is an important engineering tool because of its explanatory and predictive ...

Localization of angular momentum in optical waves propagating through turbulence.

This is the first in a series of papers demonstrating that photons with orbital angular momentum can be created in optical waves propagating through distributed turbulence. The scope of this first paper is much narrower. Here, we demonstrate that atmospheric turbulence can impart non-trivial angular momentum to beams and that this non-trivial angular momentum is highly localized. Furthermore, c...

Angular Momentum in Chemistry

Noting that current chemical theory is based almost exclusively on electronic energy and spin variables the equal importance of orbital angular momentum is explored in this paper. From its classical definition the angular momentum of electrons in an atom is shown to obey Laplace’s equation, which automatically leads to discrete values in terms of spherical harmonics. This analysis assumes a con...

Angular Momentum

Angular Momentum in Quantum Mechanics

We begin with a review of the basic concepts involved in the quantum mechanical description of physical systems and the notation we will use in the lectures. The notes in this Section are not intended to provide an introductory course on Quantum Mechanics. They assume the reader has had at least a first course at undergraduate physics level that covers some historical background and reviews the...