When U(x)is infinitely large elsewhere,the wave function of a particle restricted to the region 0

Question

When U(x)is infinitely large elsewhere,the wave function of a particle restricted to the region 0 < x < L where U(x)= 0,may have the form $\Delta$(x)= A) $A \sin \left( \frac { n \pi x } { L } \right)$ . B) $B \cos \left( \frac { n \pi x } { L } \right)$ . C)Aeⁿ ^$\pi$ ^x^/^L. D) $A \sin \left( \frac { n \pi x } { L } \right) + B \cos \left( \frac { n \pi x } { L } \right)$ . E) $A \sin \left( \frac { n \pi x } { L } \right) - B \cos \left( \frac { n \pi x } { L } \right)$ .

Quizplus · Accepted Answer

The wave function of a particle in a one-dimensional box with infinitely high walls is given by the sine function, as it satisfies the boundary conditions of being zero at x=0 and x=L.

When U(x)is Infinitely Large Elsewhere,the Wave Function of a Particle Δ\DeltaΔ

When U(x)is Infinitely Large Elsewhere,the Wave Function of a Particle $\Delta$