TitleStudent Reasoning with Completeness Relations in Quantum Mechanics
Publication TypePoster
Year of Publication2021
AuthorsGire, Elizabeth, Grant Sherer, Maggie Greenwood, and Corinne A. Manogue
Venue/ConferencePhysics Education Research Conference
CityRemote via Underline
Publication Languageeng
Abstract

Using a completeness (or closure) relation is a neat math trick in quantum theory. Completeness relations capture the fundamental property that a basis set spans a vector space, and conceptually can be thought of as a special form of the identity operator. In quantum mechanics, completeness relations can be used to express a quantum state in a particular basis, change which basis a state is expressed in, as well as mathematically model the effect of a quantum interferometer. We have analyzed students' written responses to homework and final exam questions related to completeness relations from a junior-level, introduction to quantum mechanics course. In this poster, we will present student reasoning and difficulties using completeness relations.

Citation Key277