a) Differentiate between '$\psi$' and '$|\psi|^2$. Write down Schrodi…

Previous year question for Applied Engineering Physics.

Question

a) Differentiate between '$\psi$' and '$|\psi|^2$. Write down Schrodinger's wave equation for a particle in a box. Solve it to obtain the Eigen functions and show that the eigen values are discrete. (12)

b) Find the expectation value $<x>$ of the position of a particle trapped in a box $L$ cm wide. (8)

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