Time Dependence on a Ring

Prerequisites

Students should be able to:

  • FIXME

In-class Content

Homework for Particle on a Ring

The following types of problems can be done as part of in-class activities and/or as homework. For examples of in-class activities, see:

Even if done in-class, it can be helpful to have follow-up homework that helps to solidify additional points (such as degeneracy or probability in wave function notation).

  1. (RingTable) Complete the table (EigenTableRingEmpty.pdf) which summarizes much of what you've learned about the eigenstates of the ring by filling in all the empty boxes.
  2. (RingFunction) Some quantum calculations for a particle confined to a ring.

  3. (RingKet) Some quantum calculations in Bra-ket notation for a particle confined to a ring.

  4. (RingCompare) Some quantum calculations in three different representations for a particle confined to a ring.

  5. (RingTimeDep) Some quantum calculations for a particle confined to a ring at different times.

  6. (RingFunc) Some quantum calculations on a wavefunction that is not trivially separated into energy eigenstates for a particle confined to a ring.


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