Harmonic Oscillator (harmosc1.mpg)The wave function at t = 0 has the form

(x,0) = A exp[-x2/102]

V(x) = ½ (x/50)2 & starting v = 0

Which direction is the force?

What will the wave function do?

Estimate E.

Harmonic Oscillator (harmosc1.mpg)

Harmonic Oscillator (harmosc1.mpg)

Why doesn’t ||2 change with t?

Does change with t?

If used (x,0) = A exp[-x2/112], would ||2 change with t?

Harmonic Oscillator (harmoscr.mpg)The wave function at t = 0 has the form

(x,0) = A exp[-x2/102]

V(x) = ½ (x/50)2 & starting v = 0

Only the real part of in this movie

Harmonic Oscillator (harmoscr.mpg)

Harmonic Oscillator (harmoscr.mpg)

What is the real part of ? The imaginary part?

Why is the solution a function of x times a function of t?