A particle is confined by finite potential energy walls to a one-dimensional trap from x = 0 to x = L.Its wave function in the region x L has the form:
D).

Question

A particle is confined by finite potential energy walls to a one-dimensional trap from x = 0 to x = L.Its wave function in the region x > L has the form:
D).

Quizplus · Accepted Answer

For a particle in a one-dimensional trap with finite potential energy walls, outside the region of confinement (x > L), the wave function decays exponentially, indicating that the particle has a non-zero probability of being found outside the walls, but this probability decreases as one moves further away. This behavior is correctly described by an exponentially decaying function, which is represented by choice C, "Ae^(-kx)", where A is a normalization constant, and k is related to the decay rate of the wave function outside the potential walls.

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