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Energy Non-Conservation in Quantum Mechanics

Citation

Lodman, Jackie (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
Research Advisor(s):
  • Carroll, Sean M.
Group:Walter Burke Institute for Theoretical Physics
Thesis Committee:
  • None, None
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:
AuthorORCID
Lodman, Jackie0000-0003-0923-9440
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:10 Sep 2020 18:00

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