Abstract

In this thesis, we determine an asymptotic solution for the one dimensional relativistic harmonic oscillator using multiple scale analysis and relate the resulting invariant to Lewis' invariant. We then generalize the equations leading to Lewis' invariant so they are relativistically correct. Next we attempt to find an asymptotic solution for the general equations by making simplifying assumptions on the parameter characterizing the adiabatic nature of the system. The first term in the series for Lewis' invariant corresponds to the adiabatic invariant for systems whose frequency varies slowly. For the relativistic case we find a new conserved quantity and seek to explore its interpretation.

Notes

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Graduation Date

2019

Semester

Summer

Advisor

Shivamoggi, Bhimsen

Degree

Master of Science (M.S.)

College

College of Sciences

Department

Physics

Degree Program

Physics

Format

application/pdf

Identifier

CFE0007712

URL

http://purl.fcla.edu/fcla/etd/CFE0007712

Language

English

Release Date

August 2020

Length of Campus-only Access

1 year

Access Status

Masters Thesis (Open Access)

Included in

Physics Commons

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