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===== Quantum Time Evolution: Instructor's Guide =====

==== Main Ideas ====
  * Time evolution of quantum systems
  * Stationary states

==== Students' Task ====
//Estimated Time: 20 min//

Students work in groups to solve for the time dependence of two quantum particles under the influence of a Hamiltonian. Students find the time dependence of the particles' states and some measurement probabilities.


==== Prerequisite Knowledge ====
  * Spin 1/2 systems
  * Familiarity with how to calculate measurement probabilities
  * Solutions to the Schrödinger equation for a time independent Hamiltonian
  * Dirac notation

==== Props/Equipment ====

  * [[:Props:start#whiteboards|Tabletop Whiteboard]] with markers
  * A handout for each student


==== Activity: Introduction ====
Little introduction is needed, although you may want to review how to find a time-evolved state for a time-independent Hamiltonian.

==== Activity: Student Conversations ====


==== Activity: Wrap-up ====
The main points of this activity are addressed in the last question. Students should recognize:
  * a pattern of how these calculations proceed, and should learn to recognize 
  * a stationary state
  * that measurement probabilities of non-stationary states will be time-dependent UNLESS you measure a quantity that commutes with the Hamiltonian.



==== Extensions ====