Physics students can execute Legendre-transform rules but express discomfort with the transform as a general mathematical tool¶

Claim · All claims
Evidence · 1 study · theoretical r2 · q1
Currency · newest study 2009 · not yet checked against its sources · not reviewed by a person · overdue for a recheck since 2014: baselines and conditions change

Subclaims¶

q1 i? Many students can generate Hamiltonians from Lagrangians and switch thermodynamic potentials, yet report discomfort when the Legendre transform is treated as a general mathematical tool. → R. K. P. Zia 2009

Evidence¶

R. K. P. Zia 2009¶

R. K. P. Zia, Edward F. Redish, and Susan R. McKay. (2009). Making Sense of the Legendre Transform. https://arxiv.org/abs/0806.1147 doi:10.48550/arxiv.0806.1147

q1 · i? · theoretical · r2

The authors report, from their own teaching experience rather than a systematic study, that students handle the procedural rules well but express discomfort with the transform as a general tool. The article offers this as an observational motivation, not a tested result.

"In our experience, many students can manage the rules for generating a Hamiltonian from a Lagrangian or switching between thermodynamic potentials quite well, but express discomfort when asked about the Legendre transform as a general mathematical tool."

Discussion¶

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