arXiv:2306.07679 · Acta Physica Polonica A

Arrival Time in Quantum Mechanics (Demonstrated in Geometrical Order)

Jerzy Kijowski

Published Jun 1, 2023• 2 citations

Abstract

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.s123

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