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Advanced Physics Homework Help
Expectation value and momentum for an infinite square well
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[QUOTE="Matt Q., post: 5466553, member: 529723"] [h2]Homework Statement[/h2] √[/B] A particle in an infinite square well has the initial wave function: [itex]Ψ(x, 0) = A x ( a - x )[/itex] a) Normalize Ψ(x, 0) b) Compute <x>, <p>, and <H> at t = 0. (Note: you cannot get <p> by differentiating <x> because you only know <x> at one instance of time)[h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] For part a, I figured out A = [itex]\sqrt{30 / a^5}[/itex] I'm sort of confused for part b. For <x>, I set up the integral like this: [itex]\int_{0}^{a}x Ψ(x, 0)^2 dx[/itex] And got [itex]\frac{a^6 A^2}{60}[/itex], but I'm not sure if I got it right. For <p> and <H>, I don't know how to set up these integrals. How would I set up these integrals? I don't need you to solve it for me, I just wanted to know how to set them up. Thank you for reading and helping. [/QUOTE]
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Expectation value and momentum for an infinite square well
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