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classes:2009:fall:phys4101.001:q_a_0914

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classes:2009:fall:phys4101.001:q_a_0914 [2009/09/14 21:10] – ykclasses:2009:fall:phys4101.001:q_a_0914 [2009/09/20 17:41] (current) – x500_vinc0053
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 If i understand the question, If i understand the question,
  i believe this correspondence is shown on page 19. Figure 1.7 shows a wave that has no clean position in time and 1.8 shows a pulse which has position in time, but a poorly definable wavelength.   i believe this correspondence is shown on page 19. Figure 1.7 shows a wave that has no clean position in time and 1.8 shows a pulse which has position in time, but a poorly definable wavelength. 
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 +===The Doctor 21:50 9/14/09===
 +You could probably say that a single pulse is a poorly defined wave in that it's wavelength is ill-defined.  But then you would be saying that a regular periodic wave is a poorly defined wave in that you don't know it's position.  I actually don't remember seeing "poorly defined wave" used anywhere and it may be an unimportant definition.  Mostly you want to just be looking at the poorly defined wavelength/position stuff.
  
 ==== Dark Helmet 12:33am 09/13 ==== ==== Dark Helmet 12:33am 09/13 ====
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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.
  
 ====John Galt 11:02 9/14/09==== ====John Galt 11:02 9/14/09====
classes/2009/fall/phys4101.001/q_a_0914.1252980629.txt.gz · Last modified: 2009/09/14 21:10 by yk

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