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Need a refresher on finding probabilities of a wave function.
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[QUOTE="mateomy, post: 4546793, member: 281482"] After a few months off (yay summer/internships), I'm 'back in the saddle' and I'm trying to catch up with my Q-mech. I have a wave function which is given as a particle sliding freely on a circular wire: [tex] \Psi = A(1 + 4cos\phi) [/tex] I need to find the corresponding probabilities. So I know that I have to normalize the [itex]\Psi[/itex] by setting it to 1. This is split into two integrals which need to be multiplied by their complex conjugates (which are both just real values). [tex] \Psi = \int_{0}^{2\pi} A^2 d\phi + \int_{0}^{2\pi} A^2 16 cos^{2}\phi d\phi [/tex] Eventually finding, assuming my integration wasn't messed up somewhere (spoiler, I think it was).. [tex] \sqrt{\frac{1}{2\pi}}\Psi + \sqrt{\frac{1}{16\pi}}\Psi [/tex] So my probabilities are just the coefficients, right? I'm looking for a critique on this as well as I'm pretty sure I did something incorrectly.Full question: The wave function [itex]\Psi[/itex] where A is a normalization constant and phi is the angle the radius vector makes with the x-axis. If [itex]L_z[/itex] is measured, what are the possible outcomes and corresponding possibilities? Thanks. [/QUOTE]
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Need a refresher on finding probabilities of a wave function.
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