Word Count : 206

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We need to numerically evaluate two quantities for a quantum particle confined in a box of length \( L \): 1. Expectation value of \( \hat{p} x^2 \) \[ \left\langle \hat{p} x^2 \right\rangle = \int_0^L \psi^*(x) \left( -i\hbar \frac{d}{dx} x^2 \right) \psi(x) \,dx \] 2. Probability of finding the particle in ___ _____ ______ _________ _______ __________ __________ __________ ___ _________.
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