Find

for the ground-state wave function of an infinite square well. (Use the fact that (p) = 0 by symmetry and (p²) = (2mE) from Problem 6-32.)

Problem 6-32

Show directly from the time-independent Schrödinger equation that (p²) = (2m[E - V(x)]) in general and that (p²) = (2mE) for the infinite square well. Use this result to compute (p²) for the ground state of the infinite square well.

Transcribed Image Text:

σx = √(x²)(x)², op = √(p²) - (p)², and 0,0 ox