Date of Award
1976
Document Type
Thesis
Degree Name
Master of Science (M.S.)
Department
Graduate Studies
First Advisor
Carl E. Wulfman
First Committee Member
Robert L. Anderson
Second Committee Member
Sukeyuki Kuniei
Abstract
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.
Pages
71
Recommended Citation
Bernal, Jose Ricardo. (1976). Group of point transformations of time dependent harmonic oscillators. University of the Pacific, Thesis. https://scholarlycommons.pacific.edu/uop_etds/1913
Rights Statement
No Known Copyright. URI: http://rightsstatements.org/vocab/NKC/1.0/
The organization that has made the Item available reasonably believes that the Item is not restricted by copyright or related rights, but a conclusive determination could not be made. Please refer to the organization that has made the Item available for more information. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use.
