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Introductory Physics Homework Help
Normalization of wave function
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[QUOTE="Safder Aree, post: 6001821, member: 639141"] [h2]Homework Statement [/h2] I have the wave function Ae^(ikx)*cos(pix/L) defined at -L/2 <= x <= L/2. and 0 for all other x. The question is: A proton is in a time-independent one-dimensional potential well.What is the probability that the proton is located between x = − L/4 and x = L/4 ? [h2]Homework Equations[/h2] ∫ψψ* = 1[h2]The Attempt at a Solution[/h2] I know i have to normalize this first. Should I be normalizing with the bounds being -L/2 and L/2 or should the bounds be -L/4 and L/4. A^2∫cos^2(πx/L)dx =1 (1/2)A^2[x+ L/2π (sin(2πx/L)] evaluated at some bounds. I actually evaluated it both ways one answer gives me A=√2/L at L/2,-L/2 and the other one gives me A = √2 π/L which makes more sense (at -L/4,L/4) But i just want to make sure i am approaching this right way. Thank you. [/QUOTE]
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Normalization of wave function
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