I stand corrected. My mistake about the first order corrected eigenvectors.
Thanks for pointing out!
I guess you found your 0-th order eigenvectors which are pretty obvious.
This is a nice problem applicable in many systems. A few misunderstandings might have happened here.
First, your non-interacting Hamiltonian consists of 2 oscillator
$$ H_{x,y} = p^2_{x,y} + (x,y)^2, $$
where ##(x,y)## can be x or y . All parameters set to 1. Each oscillator has infinite...
The wording of the problem might be confusing a bit. However, if you try a few combinations of calculation you will see the result should be smaller than your calculated one. This diagram presents the quiz probably better:
This is probably clear already.
Hello,
I knew physicsforums since long. I am a doctorate student working with superconductor-semiconductor Al-InAs. Hope we will have inspiring conversations!
Cheers,
pwaive