Tru Physics

Problem 2.2 – Griffith’s Intro to QM

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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

\dfrac{d^2 \psi}{dx^2} = \dfrac{2m}{\hbar^2} [V(x) - E] \psi

if E < V_{min}, then \psi and its second derivative always have the same sign—argue that such a function cannot be normalized.

Solution:

Problem 2.2 - Griffith's Intro to QM

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