Student difficulties with the probability distribution for measuring energy and position in quantum mechanics

TL;DR

This study investigates upper-level undergraduates' difficulties in understanding probability distributions for energy and position measurements in quantum mechanics, revealing common conceptual challenges through written assessments.

Contribution

It identifies specific student misconceptions about quantum probability distributions and provides insights into their conceptual difficulties.

Findings

Students struggle with interpreting wave functions as probability distributions.

Common misconceptions include confusion about measurement outcomes and wave function evolution.

Assessment results highlight the need for targeted instructional strategies.

Abstract

We have been investigating the difficulties that students in upper-level undergraduate courses have in determining the probability distribution for measuring energy and position as a function of time when the initial wave function is explicitly given. We administered written free-response and multiple-choice questions to investigate these difficulties. We find that students have common difficulties with these concepts. We discuss some of the findings.