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courses:lecture:pplec:pplecquantenergy 2011/08/09 11:32 courses:lecture:pplec:pplecquantenergy 2011/08/09 16:57 current
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=====Quantization of Energy in Mechanical Oscillators (15 minutes)===== =====Quantization of Energy in Mechanical Oscillators (15 minutes)=====
-  * Before beginning this lecture, ask the students to [[..:..:..:courses:activities:ppact:ppbound|Draw Some Bound States]].  This will help put students into the mindset of energies and bound states.+  * Before beginning this lecture, ask the students to [[..:..:..:courses:activities:ppact:ppbound|Draw Some Bound States]].
* The most common bound state is the single mass on a spring, as seen below.   * The most common bound state is the single mass on a spring, as seen below.
-  * We can also extend this bound state premise to a system with multiple masses and springs as well.  Looking at the first normal mode for a five-mass system (if students have already performed the [[..:..:..:courses:activities:ppact:ppperiodiclab1|Monoatomic Chain Lab]], refer to this), if we keep the envelope function the same shape but increase the amplitude, the potential energy for the system changes with very similar behavior to the single mass system.+  * We can also extend this bound state premise to a system with multiple masses and springs as well.  Looking at the first normal mode for a five-mass system (if students have already performed the [[..:..:..:courses:activities:ppact:ppperiodiclab1|Monatomic Chain Lab]], refer to this), if we keep the envelope function the same shape but increase the amplitude, the potential energy for the system changes with very similar behavior to the single mass system.

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