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Kelby T. Hahn (they/she)
Dr. Elizabeth Gire (she/her)
Oregon State University
▪ Makes abstract concepts tangible
▪ Kinesthetic
▪ Highlights geometric relationships
▪ Supports students’ conceptual reasoning with:
▪ Time dependence
▪ Transition from discrete spin systems to continuous wavefunctions
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▪ Student reasoning is visible
▪ Formative assessment
▪ Active engagement
▪ Add silliness and fun to class
▪ Low barrier to entry
▪ Intuitive
▪ Portable
▪ Free!
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10 min
5 min
15 min
10 min
10 min
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REPRESENT THIS COMPLEX NUMBER WITH YOUR ARMS.
▪ Rotating left arm sweeps out the complex
plane
▪ Forward, ∥ to ground is the real axis
▪ Up, ⟂ to ground is the imaginary axis
▪ Left arm represents the complex number
▪ Looking over the left shoulder looks like
Argand diagram
za
b
θ
realaxis
imaginaryaxis
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WORKING IN PAIRS, REPRESENT THIS COMPLEX
QUANTUM STATE WITH YOUR ARMS.
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GEOMETRICALLY SHOW THE RELATIVE PHASE OF THIS
QUANTUM STATE, NOW MULTIPLY IT BY AN OVERALL
PHASE.
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SHOW HOW THIS COMPLEX QUANTUM STATE WOULD
EVOLVE WITH TIME.
t = 0 s t = 0.25 s t = 0.5 s
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USING AS MANY FRIENDS AS YOU NEED, APPROXIMATE
A WAVEFUNCTION IN THE X-BASIS USING THE ARMS
REPRESENTATION.
x
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paradigms.oregonstate.edu
▪ Activity Guides
▪ Learning goals
▪ Instructor’s guides
▪ Student Conversations
▪ Wrap-up
▪ Let us know if you try it!
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3028
Find resources & research: paradigms.oregonstate.eduosuper.science.oregonstate.edu
Many thanks to the OSUPER team, our participants, and our funding supporters!
Find the slides: https://beav.es/3B9Additional Questions: [email protected]
Check out my PERC Poster: Teaching Relative & Overall Phase with the Arms Representation
Other Quantum Talks from OSU:
3085 2638
Search has begun for tenure-track positions in
PER & Astrophysics
▪ Contact Dr. Liz Gire for details
