Question: Show that the energy E must exceed the minimum value of the potential V(x), for every normalizable solution to the time-independent Schrodinger equation. (a) Use


Show that the energy E must exceed the minimum value of the potential V(x), for every normalizable solution to the time-independent Schrodinger equation. (a) Use 2m 812 + V(x)(x) = Ev(x) 2m h [V(x) - E] w(x), and argue that if the second derivative of w(r) has the same sign as v(r) for all r, it cannot be normalized. (b) Show for the specific example of the infinite square well that there is no acceptable solution to the time-independent Schrodinger equation for E = 0 and E
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