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Abstract Title: Student Reasoning with Completeness Relations in Quantum Mechanics
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.
Abstract Type: Contributed Poster Presentation
Session Time: Poster Session 2 Room A
Poster Number: 2A-20

Author/Organizer Information

Primary Contact: Elizabeth Gire
Oregon State University
Corvallis, OR 97330
Co-Author(s)
and Co-Presenter(s)
Corinne A. Manogue, Oregon State University
Grant Sherer, Oregon State University
Maggie Greenwood, Oregon State University