3. Consider the finite potential well. The general solution for the region -a

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3 Consider The Finite Potential Well The General Solution For The Region A R A Is X Sin Lx D Cos Lx Since 1 (45.81 KiB) Viewed 33 times

3. Consider the finite potential well. The general solution for the region -a <r <a is (x) = sin(lx) + D cos(lx). Since the potential is an even function (i.e., V(2) = V(-x)), we can assume that the solutions are either even or uneven functions. In the textbook, we choose y(x) = D cos(lx) in this region. Repeat this derivation, but now assume that y(x) = sin(lx). (a) Obtain, with full motivation, the expression that gives a restriction on the values that K and thus E may assume. (4) (b) Rewrite the expression above in terms of 2 =la en zo = 1/2mV./h. Indicate all of your steps. (5) (c) Discuss the two limiting cases zo → and zo → 0. (4 + 2) [15]