Problem 2.2 Show that E must exceed the minimum value of V (x), for every normalizable solution to the time-independent Schrödinger equation. What is the classical analog to this statement? Hint: Rewrite Equation 2.5 in the form d²yr 2m = [V (x) - E]; () – E] V dx² if E < Vmin, then and its second derivative always have the same sign—argue that such a function cannot be normalized. h² d² 2m dx² + Vý= Ev. (2.5)

Problem 2.2 Show that E must exceed the minimum value of V (x), for every normalizable solution to the time-independent Schrödinger equation. What is the classical analog to this statement? Hint: Rewrite Equation 2.5 in the form d²yr 2m = [V (x) - E]; () – E] V dx² if E < Vmin, then and its second derivative always have the same sign—argue that such a function cannot be normalized. h² d² 2m dx² + Vý= Ev. (2.5)