量子力学中的到达时间(以几何顺序展示)

IF 0.5 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Acta Physica Polonica A Pub Date : 2023-06-01 DOI:10.12693/APhysPolA.143.S123

J. Kijowski

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引用次数: 0

摘要

提出了传统量子力学中到达时间的几何构造。它是基于一个仔细的数学分析，不同的量化程序的经典观测作为位置和动量的函数。选择一类具有唯一(如果有的话)量子化版本的可观测值。给出了存在这样一个量子化版本的一个简单判据。然后将这些数学结果应用于经典的“到达时间”观测。

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Arrival Time in Quantum Mechanics (Demonstrated in Geometrical Order)

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 which possess a unique (if any) quantized version. A simple criterion for existence of such a quantized version is formulated. These mathematical results are then applied to the classical"arrival time"observable.

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来源期刊

Acta Physica Polonica A 物理-物理：综合

CiteScore

1.50

自引率

0.00%

发文量

141

审稿时长

6 months

期刊介绍： Contributions which report original research results and reviews in the fields of General Physics, Atomic and Molecular Physics, Optics and Quantum Optics, Quantum Information, Biophysics, Condensed Matter, and Applied Physics are welcomed.