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activities:guides:spqmevolution 2011/07/14 13:54 activities:guides:spqmevolution 2018/10/18 10:03 current
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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. 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 ==== ==== Prerequisite Knowledge ====
* Spin 1/2 systems   * Spin 1/2 systems
* Familiarity with how to calculate measurement probabilities   * Familiarity with how to calculate measurement probabilities
-  * Solutions to the Schrödinger equation+  * Solutions to the Schrödinger equation for a time independent Hamiltonian
* Dirac notation   * Dirac notation
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* [[:Props:start#whiteboards|Tabletop Whiteboard]] with markers   * [[:Props:start#whiteboards|Tabletop Whiteboard]] with markers
* A handout for each student   * A handout for each student
+
==== Activity: Introduction ==== ==== Activity: Introduction ====
-Little introduction is needed.+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: Student Conversations ====
+
==== Activity: Wrap-up ==== ==== Activity: Wrap-up ====
-The main points of this activity are addressed in the last question. Students should try to see a pattern of how these calculations proceed, and should learn to recognize a stationary state. Students should also recognize that measurement probabilities of non-stationary states will be time dependent UNLESS you measure an eigenstate of the Hamiltonian.+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.

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