The wave function for a particle confined to a one-dimensional box located between x = 0 and x = L is given by $\Psi$(x)= A sin (n $\pi$x/L)+ B cos (n $\pi$x/L).The constants A and B are determined to be
A) $\sqrt { 2 / L }$ ,0
B) $\sqrt { 1 } / L$ , $\sqrt { 1 / L }$
C)0, $\sqrt { 2 / L }$
D) $\sqrt { 2 } / L$ , $\sqrt { 2 / L }$
E)2/L,0

Question

Quizplus · Accepted Answer

The wave function for a particle confined to a one-dimensional box located between x = 0 and x = L is given by $\psi(x)= A \sin (n\pi x/L)+ B \cos (n\pi x/L)$. The constants A and B are determined to be $\sqrt { 2 / L }$ and 0, respectively, because the wave function must satisfy the boundary conditions $\psi(0)=0$ and $\psi(L)=0$.

The Wave Function for a Particle Confined to a One-Dimensional Ψ\PsiΨ

The Wave Function for a Particle Confined to a One-Dimensional $\Psi$