(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

See attachment

2. Relevant equations

for an infinitely deep q well of width L

[itex]\psi(x)=\sqrt{\frac{2}{L}}Sin\frac{4\pi x}{L}[/itex]

[itex]<\psi_{n}|\psi_{m}>=0[/itex]

[itex]<\psi_{n}|\psi_{n}>=1[/itex]

3. The attempt at a solution

Taking the inner product;

[itex]<\psi|\psi>=a<\psi|\psi_{1}>+b<\psi|\psi_{2}>[/itex]

[itex]<\psi|\psi>=a<\psi_{1}|\psi_{1}>+b<\psi_{2}|\psi_{2}>[/itex]

[itex]1=a+b[/itex]

from the second part of the question 3a=b and thus a=.25 b=.75

I kind of went out on a limb with this and I'm not sure if its correct. It seems very little work for the available marks and I'm just not sure if the second part is ok?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Calculating constants in mixed state of first two energy levels (infinite Q Well)

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**