Question

onfined to move say, a typical size of a desk). Based on the nics, what is the minimum speed of the student? quantum (c). What should the quantum number n be if the student is moving with a speed of 1.25 m/s? (d)What is the separation of the energy levels of the student moving with this speed (extra points: 10 points)The time independent Schrodinger equation in the infinite 5. potential well is d2) 2m Eψ 0 . + dx2 h2 and its general solution is n(x) A exp(jkx) + B exp(-jkx), show how to derive to its final solution: 1 nnx 2 sin( a Lo Formi energy and the work function of a metal? honded 6. (20 points) Based on the energy band theory, answer the following questions:

Answer 1

12 dx2 gemeral dalutien i VlaA exljkz) Ajk expliked-Bjk exp{-jk>. dy dx Aeljkiespejk) dx dx2 AH +m EA +2m E B Arhckltynding electron potential urell 1 1 applying keuendary ceaditions YmlA expikz). B ex + a)

+Bexkl=jkz) Taking uallato tast a (x)= A cos( B_sin kx A- Y Bsin a a Here idth of well a eim

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