![]() Results characterize students’ nuanced imagery for the two eigenequations and highlight instances of both synergistic and potentially incompatible interpretations. Students were first asked to explain what the equations meant to them and then asked to compare and contrast how they conceptualize eigentheory in the two situations. The data consist of video, transcript, and written work from individual, semi-structured interviews with 9 students from a quantum mechanics course. We discuss students’ interpretations of a canonical mathematical 2x2 eigenequation and a spin-1/2 operator eigenequation. Our research project investigates students’ reasoning about eigentheory in quantum mechanics and how their language for eigentheory compares and contrasts across mathematics and quantum physics contexts. ![]() Linear algebra, and eigentheory in particular, plays an important role in modeling quantum mechanical systems.Student Interpretation of Eigenequations in Mathematics and in Quantum Mechanics*īy Megan Wawro, John Thompson, Kevin Watson.PER: Student Understanding about Upper-Division Physics
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