classes:2009:fall:phys4101.001:q_a_0914
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classes:2009:fall:phys4101.001:q_a_0914 [2009/09/14 21:50] – olmschenk | classes:2009:fall:phys4101.001:q_a_0914 [2009/09/20 17:41] (current) – x500_vinc0053 |
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Relating it to the Fourier series should make it a bit more clear. A real problem that hopefully helps to visualize it is describing a specific wave function, say a square wave, in terms of the summation of many sinusoidal waves. This would be a real world example of sound waves that works for describing the quantum mechanical view of particles as well. | Relating it to the Fourier series should make it a bit more clear. A real problem that hopefully helps to visualize it is describing a specific wave function, say a square wave, in terms of the summation of many sinusoidal waves. This would be a real world example of sound waves that works for describing the quantum mechanical view of particles as well. |
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| ===vinc0053 09/20 17:35=== |
| I like to think of the simplest case where you know the wave is only in the ground state. Then you have <math>c_1</math> equal to 1 and all other constants equal to zero. Then you can add the next state by, for example, having <math>c_1, c_2</math> hold values reflecting their proportional make-up, with all other constants equal to zero. |
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====John Galt 11:02 9/14/09==== | ====John Galt 11:02 9/14/09==== |
classes/2009/fall/phys4101.001/q_a_0914.1252983050.txt.gz · Last modified: 2009/09/14 21:50 by olmschenk