Question 2
For a particle in a one-dimensional box, defined by:
• V(x) = 0, {a > x > 0}, and
• V(x) = infinity, {x >= a}, {x <= 0}.
Consider the un-normalised function below: is or is not an acceptable wave function based on
boundary conditions criteria and the association of $\psi^*(x)\psi(x)$ dx with probability?
All constants are nonzero.
$\cos(\frac{\pi x}{a})$
1 pts
It is not an acceptable wave function because it does not satisfies the boundary condition that
$\psi(a) = 0$, and it goes to infinity whenever $n\pi x/a = (2m+1)\pi$, for m an integer.
It is not an acceptable wave function because it goes to zero whenever $n\pi x/a = (2m+1)\pi$, for m an integer.
It is an acceptable wave function because it satisfies the boundary condition that $\psi(a) = 0$, and
it goes to infinity outside the boundaries of the box
It is not an acceptable wave function because it satisfies the boundary condition that $\psi(a) = 0$, and it goes to
zero whenever $n\pi x/a = (2m+1)\pi$, for m an integer.
It is an acceptable wave function because it satisfies the boundary condition that $\psi(0) = \infty$, and
it goes to zero outside the boundaries of the box
