# 1D Quantum Mechanics

## Homework Statement

Given a square well,
Infinite wall at x=0
Wall height U for x>L

For E<U, find solutions to the schrondinger equation inside the well, and beyond x>L which satisy boundary conditions for x=0 and x=$$\infty$$

Taking conditions at x=L, find the allowable energies of the system.

## Homework Equations

Schrondinger equation

## The Attempt at a Solution

Know U=0 inside the well, 0<x<L.

Conditions we get are, (I cant find the wavefunction symbol, Y looks the closest.)
x is continuous at 0, hence Y(0)=0

What condition do I need at x=L? Or am I completely missing the plot.

Do I need to do another condition at x=$$\infty$$?
Ie, there are two solutions? One inside the well and one outside?