- #1
roshan2004
- 140
- 0
Quantum Mechanics "Expectation"
1. Calculate the expectation value <p_{x}> of the momentum of a particle trapped in a one-dimensional box.
2. Find the expectation value <x> of the position of a particle trapped in a box L wide.
\psi _{n}=\sqrt{\frac{2}{L}}sin \frac{n\pi x}{L}
<p_{x}>=\int \psi^*p_{x}\psi dx
<x>=\int \psi^*x\psi dx
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.
Homework Statement
1. Calculate the expectation value <p_{x}> of the momentum of a particle trapped in a one-dimensional box.
2. Find the expectation value <x> of the position of a particle trapped in a box L wide.
Homework Equations
\psi _{n}=\sqrt{\frac{2}{L}}sin \frac{n\pi x}{L}
<p_{x}>=\int \psi^*p_{x}\psi dx
<x>=\int \psi^*x\psi dx
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.
Last edited:
