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A particle of mass $m$ is confined to an infinitely deep square-welled potential:
$V(x) = \infty, x\leq 0, x \geq a$
$V(x) = 0, 0 < x <a$
The normalized eigenfunctions, labeled by the quantum number $n$ , are $\psi_n = \sqrt{\frac{2}{a}} \sin \frac{n \pi x}{a}$

52. The eigenfunctions satisfy the condition $\int_{0}^{a} \psi_n^*(x) \psi_l(x) dx = \delta_{nl}, \delta_{nl} = 1$ if $n=l$ , otherwise $\delta_{nl}=0$ . This is a statement that the eigenfunctions are
(A) solutions to the Schrodinger equation
(B) orthonormal
(C) bounded
(D) linearly dependent
(E) symmetric

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ฟิสิกส์โอลิมปิก วิทยาศาสตร์โอลิมปิก ข้อสอบแข่งขัน ข้อสอบชิงทุน => GRE - Physics => Topic started by: conantee on September 21, 2010, 12:48:35 PM