Citation
Lodman, Jackie Julia (2020) Energy Non-Conservation in Quantum Mechanics. Senior thesis (Major), California Institute of Technology. doi:10.7907/4a55-jt21. https://resolver.caltech.edu/CaltechTHESIS:09062020-104208324
Abstract
Conservation of energy is an integral component of modern physics, but questions remain in quantum mechanics. In traditional quantum mechanics, superpositions of energy eigenstates collapse into a single energy eigenstate upon measurement, and any change in energy after measurement is thought to be lost/gained in the measurement process. However, we argue that energy non-conservation in quantum mechanics cannot be entirely accounted for by leakage to the apparatus/environment. We first present a comprehensive Hamiltonian where energy is not conserved in any considered interpretation according to an observer. Next, we present a protocol for developing experiments to observe this non-conservation, then we use our protocol to develop an example thought experiment. In both the comprehensive Hamiltonian and thought experiment examples, energy is not conserved to an observer in all considered interpretations, but it is conserved when considering the universe's global wave function in Everettian quantum mechanics. Finally, we discuss implications for the status of conservation of energy and other conservation laws. The work presented in this thesis will be adapted into an upcoming paper, Carroll and Lodman.
Item Type: | Thesis (Senior thesis (Major)) | ||||
---|---|---|---|---|---|
Subject Keywords: | Quantum Mechanics, Entanglement, Interpretations of Quantum Mechanics, Everettian QM | ||||
Degree Grantor: | California Institute of Technology | ||||
Division: | Physics, Mathematics and Astronomy | ||||
Major Option: | Physics | ||||
Thesis Availability: | Public (worldwide access) | ||||
Research Advisor(s): |
| ||||
Group: | Walter Burke Institute for Theoretical Physics | ||||
Thesis Committee: |
| ||||
Defense Date: | 4 June 2020 | ||||
Record Number: | CaltechTHESIS:09062020-104208324 | ||||
Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:09062020-104208324 | ||||
DOI: | 10.7907/4a55-jt21 | ||||
ORCID: |
| ||||
Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||
ID Code: | 13866 | ||||
Collection: | CaltechTHESIS | ||||
Deposited By: | Jacqueline Lodman | ||||
Deposited On: | 10 Sep 2020 18:00 | ||||
Last Modified: | 13 Dec 2021 20:43 |
Thesis Files
|
PDF
- Final Version
See Usage Policy. 473kB |
Repository Staff Only: item control page