Arrival Time in Quantum Mechanics (Demonstrated in Geometrical Order) |
| J. Kijowski
Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland |
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| A geometric construction of the arrival time in conventional quantum mechanics is presented. It is based on a careful mathematical analysis of different quantization procedures for classical observables as functions of positions and momenta. A class of observables is selected that possess a unique (if any) quantized version. A simple criterion for the existence of such a quantized version is formulated. These mathematical results are then applied to the classical ``arrival time'' observable. |
DOI:10.12693/APhysPolA.143.123 topics: arrival times, quantization of time, geometry of quantum mechanics, uncertainty principle |