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Time in quantum mechanics
|dc.creator||Chapin, Kimberly R.|
|dc.description||Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to firstname.lastname@example.org, referencing the URI of the item.||en|
|dc.description||Includes bibliographical references.||en|
|dc.description||Issued also on microfiche from Lange Micrographics.||en|
|dc.description.abstract||The role of time in quantum mechanics has been and is still very controversial. The purpose of this paper was to explore the historical interpretation of time in quantum mechanics, to determine the current status of this problem-L and to investigate the possibility of having a derived duration time operator in the micromaser. In the past, time has been treated as a discrete quantity, as an operator, and as a derived quantity. Recently, Scully found that time was a derived quantity in the micromaser. Scully then suggested that this time was an operator. Upon investigation, it was found that this time operator [ ] could be interpreted as an integral operator. Sussmann found that a representation of the inverse momentum operator existed such that [pp=1=pp]. Further investigation of the commutator relation revealed that [x] and [ ] are incompatible. However, they could not be paired as conjugate variables because their commutator relation is not equal to an unit of action. The Pauli objection is found to be inapplicable in this problem because [H-system] and [ ] were found to commute. Pauli's objection was based on the fact that the commutator relation of [H-system] and [ ] was equal to an unit of action. Finally, interpreting [ ] as a time of motion, the analog of the lifetime matrix for the micromaser was calculated. It was found to represent the projection of a rotation (i.e. a phase shift).||en|
|dc.publisher||Texas A&M University|
|dc.rights||This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries in 2008. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.||en|
|dc.title||Time in quantum mechanics||en|
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