An elecetron is placed inside an infite box. Quantum Mechanics

[Feodalherren]

Homework Statement

An e- is placed inside an "infinite box". If the box is .1nm wide, what is the minimum energy and momentum of the e-? Start from the fundamental wavelength and prove the equation you are using to calculate the energy and momentum.

Homework Equations

The Attempt at a Solution

Wait... What's the fundamental wavelength business?

 

[dauto]

The electron in a box forms standing waves. These standing waves are called harmonics. The first harmonic is called the fundamental frequency and corresponds to the electron's ground state.

I wouldn't call that box "infinite" though.

 

[Feodalherren]

Ah cool. Then n=1 and

L=nλ/2

I got it from there. Thanks.