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Harmonic Oscillator (harmosc1.mpg) The wave function at t = 0 has the form  (x,0) = A exp[-x 2 /10 2 ] V(x) = ½ (x/50) 2 & starting v = 0 Which direction.

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Presentation on theme: "Harmonic Oscillator (harmosc1.mpg) The wave function at t = 0 has the form  (x,0) = A exp[-x 2 /10 2 ] V(x) = ½ (x/50) 2 & starting v = 0 Which direction."— Presentation transcript:

1 Harmonic Oscillator (harmosc1.mpg) The wave function at t = 0 has the form  (x,0) = A exp[-x 2 /10 2 ] V(x) = ½ (x/50) 2 & starting v = 0 Which direction is the force? What will the wave function do? Estimate E.

2 Harmonic Oscillator (harmosc1.mpg)

3 Why doesn’t |  | 2 change with t? Does  change with t? If used  (x,0) = A exp[-x 2 /11 2 ], would |  | 2 change with t?

4 Harmonic Oscillator (harmoscr.mpg) The wave function at t = 0 has the form  (x,0) = A exp[-x 2 /10 2 ] V(x) = ½ (x/50) 2 & starting v = 0 Only the real part of  in this movie

5 Harmonic Oscillator (harmoscr.mpg)

6 What is the real part of  ? The imaginary part? Why is the solution a function of x times a function of t?

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