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Quantum Mechanics Expectation 
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#1
Jun1610, 01:32 PM

P: 139

1. The problem statement, all variables and given/known data
1. Calculate the expectation value [tex]<p_{x}>[/tex] of the momentum of a particle trapped in a onedimensional box. 2. Find the expectation value <x> of the position of a particle trapped in a box L wide. 2. Relevant equations [tex]\psi _{n}=\sqrt{\frac{2}{L}}sin \frac{n\pi x}{L}[/tex] [tex]<p_{x}>=\int \psi^*p_{x}\psi dx[/tex] [tex]<x>=\int \psi^*x\psi dx[/tex] 3. The attempt at a solution I got confused on choosing the limits for both the problems for integrating them. What's the limits I should chose for both the problems. 


#3
Jun1610, 02:14 PM

P: 139

x=0 and x=L



#4
Jun1610, 02:17 PM

P: 139

Quantum Mechanics Expectation
Thanks I got it. The limits that I have to use are x=0 and x=L



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