(a) Write Schroedinger wave equation for the particle in one dimensio…

Previous year question for Advanced Engineering Physics.

Question

(a) Write Schroedinger wave equation for the particle in one dimensional box of infinite height and solve it to obtain the eigen values and eigen functions. How do the results differ from those expected from classical consideration?

(b) A particle is described by a wave function $\Psi(x) = \frac{1 + ix}{1 + ix^2}$. Calculate the average value of the position of a particle. (12, 8)

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