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Wave function in SHM 
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#1
Feb1813, 12:24 PM

P: 45

What is the wave function of a simple harmonic wave?
y(x,t)=Asin(ωt+kx) 


#2
Feb1813, 01:25 PM

P: 6

y(x,t)=Asin(ωt+kx) is the equation of motion for a simple harmonic oscillator.
You get this by solving Newton's force law.. [itex] F=ma=kx \\ ma+kx=0 \\ a+\frac{k}{m}x=0 [/itex] Or you can write [itex] \ddot{x}+\frac{k}{m}x=0 [/itex] This is a differential equation, solved by Asin(ωt+kx), where [itex] \omega = \sqrt{\frac{k}{m}} [/itex]. I'm not sure if this answers your question? 


#3
Feb1813, 05:28 PM

P: 1,042




#4
Feb1913, 01:45 AM

P: 6

Wave function in SHM
This is posted in classical physics, however.. and in any case if it is undergoing simple harmonic motion then it isn't a quantum harmonic oscillator, so I don't see any reason to be messing around with Schrodingers.



#5
Feb1913, 08:07 AM

P: 1,042




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