# Infinite Square-Well Potential Problem

## Homework Statement

An electron is trapped in an infinite square-well potential of width 0.5 nm. If the electron is initially in the n = 4 state, what are the various photon energies that can be emitted as the electron jumps to the ground state?

## Homework Equations

The Schroedinger Equation:
-[STRIKE]h[/STRIKE]/2m*d^2Y/dx^2 + V*Y = E*Y

En = - Eo/n^2

## The Attempt at a Solution

My understanding is that Y(0) = Y(L) = 0, making them the boundary conditions.

You need to find the solution for Y by solving the Schroedinger Eq'n, which is a Differential Equation.

I'm totally blank afterwards.

## The Attempt at a Solution

vela
Staff Emeritus
Homework Helper
Are you sure it's necessary to solve the infinite-square-well problem from scratch? It's probably solved in your textbook or notes, and you can use those results to solve this problem.

Are you sure it's necessary to solve the infinite-square-well problem from scratch? It's probably solved in your textbook or notes, and you can use those results to solve this problem.

What am I supposed to do in this problem?

vela
Staff Emeritus
Homework Helper
Relate the energy of the emitted photons to the energy of the electron.

Relate the energy of the emitted photons to the energy of the electron.

Okay, the energy of the electron, because it's in state 4, is E4 = -Eo/4^2. What about the photons? I know the energy of a photon is E = hf but how do I apply this to the problem?

vela
Staff Emeritus