A particle is confined by finite potential energy walls to a one-dimensional trap from x = 0 to x = L. Its wave funciton in the region x L has the form: A) $\Psi$(x) = A sin(kx) B) $\Psi$(x) = Ae^kx C) $\Psi$(x) = Ae^-^kx D) $\Psi$(x) = Ae^ikx E) $\Psi$(x) = 0

Question

A particle is confined by finite potential energy walls to a one-dimensional trap from x = 0 to x = L. Its wave funciton in the region x > L has the form: A) $\Psi$(x) = A sin(kx) B) $\Psi$(x) = Ae^kx C) $\Psi$(x) = Ae^-^kx D) $\Psi$(x) = Ae^ikx E) $\Psi$(x) = 0

Quizplus · Accepted Answer

In the region x > L, the wave function must decay exponentially because the particle is in a classically forbidden region, so the wave function takes the form Ae^-kx.

A Particle Is Confined by Finite Potential Energy Walls to a One-Dimensional