The Quantum Time of Arrival
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The arrival time problem exists in quantum mechanics due to the wavelike behavior of the subatomic particles. In this thesis, we formulate mechanisms to calculate the time of arrival. Our initial approach is to treat time as a parameter similar to the standard Copenhagen interpretation. We then apply our methods to a free particle wave function and compute its time of arrival. Observing that the results matched closely with the classical prediction, we extended the mechanism for a non-parametric time where time is a dynamical variable such as position. We found that the non-parametric treatment of time resulted in values that were closer to the classical arrival time. In doing so we have found that treating time as a non-parametric quantum variable is viable under our definition.
Franklin and Marshall College Archives, Undergraduate Honors Thesis 2014
- F&M Theses Collection