Activities

Small Group Activity

30 min.

Wavefunctions on a Quantum Ring

How to translate a complicated wavefunction into eigenstates.
Refresher on how to find expectation values and probabilities in a region.
How to use the symmetry of the wavefunction to tell you something about measurements.

probability angular momentum probability in a region continuous wavefunction representations
Found in: Central Forces course(s)

Small Group Activity

30 min.

Spherical Harmonics on a Balloon

Spherical harmonics are continuous functions on the surface of a sphere.
The \(\ell\) and \(m\) values tell us how the function oscillates across the surface.
Spherical harmonics are complex valued functions.

Spherical Harmonics Kinesthetic Balloon Complex Numbers
Found in: Central Forces course(s) Found in: Eigenfunction Sequence sequence(s)

Small Group Activity

60 min.

Going from Spin States to Wavefunctions

Students review using the Arms representation to represent states for discrete quantum systems and connecting the Arms representation to histogram and matrix representation. The student then extend the Arms representation to begin exploring the continuous position basis.

Wavefunctions quantum states probability amplitude histograms matrix notation of quantum states Arms representation
Found in: Quantum Fundamentals course(s) Found in: Completeness Relations, Arms Sequence for Complex Numbers and Quantum States sequence(s)