Physical Sciences and Mathematics Commons^™

Group Of Point Transformations Of Time Dependent Harmonic Oscillators, Jose Ricardo Bernal

University of the Pacific Theses and Dissertations

In general, a physical system has invariant quantities which are very often related to its symmetry and to the invariance of the equation that describe it. A detailed study of the invariance property of the differential equation will be helpful in understanding this relation.

The work is concerned with a preliminary investigation of the Lie-group which leaves invariant the Newtonian and Lagrangian equation of motion for a one-dimensional harmonic oscillator. A brief review of Ehrenfest's adiabatic principle and the later treatments on exact and adiabatic invariants will be presented.

Radio And A Public Address System For The High School, Kenneth H. Westlake

University of the Pacific Theses and Dissertations

All the findings and knowledge of electricity and magnetism are not new; even the Greeks as far back as 600 B. C. knew something about these forces. As time went on the facts increased.

After the experiments of Faraday, Maxwell, Hertz and such men as these, electricity and magnetism became a vital part of human life and endeavor. Within the last twenty-five years the advances in electricity have been very rapid. The action of the electric current is a vital part of many developments and is helping to make human life more enjoyable and interesting.

Almost all schools today are …