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The Relativistic Harmonic Oscillator and the Generalization of Lewis' Invariant
| Title: | The Relativistic Harmonic Oscillator and the Generalization of Lewis' Invariant. |
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| Name(s): |
Reinhart, Daniel, Author Shivamoggi, Bhimsen, Committee Chair Kokoouline, Viatcheslav, Committee Member Dove, Adrienne, Committee Member University of Central Florida, Degree Grantor |
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| Type of Resource: | text | |
| Date Issued: | 2019 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | In this thesis, we determine an asymptotic solution for the one dimensional relativistic harmonicoscillator using multiple scale analysis and relate the resulting invariant to Lewis' invariant. Wethen generalize the equations leading to Lewis' invariant so they are relativistically correct. Nextwe attempt to find an asymptotic solution for the general equations by making simplifying assumptionson the parameter characterizing the adiabatic nature of the system. The first term inthe series for Lewis' invariant corresponds to the adiabatic invariant for systems whose frequencyvaries slowly. For the relativistic case we find a new conserved quantity and seek to explore itsinterpretation.iii | |
| Identifier: | CFE0007712 (IID), ucf:52434 (fedora) | |
| Note(s): |
2019-08-01 M.S. Sciences, Physics Masters This record was generated from author submitted information. |
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| Subject(s): | adiabatic invariant -- relativity -- multiple scales -- harmonic oscillator -- Lewis' invariant | |
| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0007712 | |
| Restrictions on Access: | campus 2020-08-15 | |
| Host Institution: | UCF |
