The Husimi function and a successive measurement of the position and the momentum

TL;DR

This paper interprets the Husimi function as a probability distribution from successive position and momentum measurements, demonstrating its experimental feasibility and connection to weak measurement theory.

Contribution

It introduces a new interpretation of the Husimi function as a successive measurement process, linking it to weak measurement concepts and experimental realization.

Findings

Husimi function can be viewed as a probability distribution from successive measurements.

The proposed measurement scheme is feasible in near-experimental conditions.

The measurement corresponds to Aharonov's weak measurement concept.

Abstract

In this paper, we consider an interpretation of the Husimi function as the probability distribution of a successive measurement, which is clearly separated into measurements of the position and the momentum. We also show this successive measurement can be easily realized in the situation close to the experiment, and this measurement corresponds to one of Aharanov's weak measurement.