Kelby T. Hahn (they/she) Dr. Elizabeth Gire (she/her

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!

▪ Kelby.Hahn@oregonstate.edu

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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: Kelby.Hahn@oregonstate.edu

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

▪ Liz.Gire@oregonstate.edu