Question: (b) Find the energy functions in a potential box problem using e^(+-ikx) instead of sin kx and cos kx. Does the eigen energy remain same

(b) Find the energy functions in a potential box problem using e^(+-ikx) instead of sin kx and cos kx. Does the eigen energy remain same for both cases. Further, write down Schrodinger wavefunction solution for particle in a box problem and plot it for n=1,2,3,4. (b) Electron with energy 1.0eV is incident on a barrier 10.0eV high and 0.50nm wide. Find the approximate transmission probability. How is it impacted if the barrier is doubled in width? [3xx5=15" Marks] "

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