All Questions
8
questions
0
votes
1
answer
31
views
What is the relation between the Faraday effect and the Zeeman effect?
The Faraday Effect basically says that certain materials under a magnetic field have different indexes of refraction for right and circular polarized light. Linear light which is a superposition of ...
1
vote
1
answer
150
views
Why the perturbation Hamiltonian of induced dipole in field still $ d \cdot E$? [closed]
We used to calculate the potential energy of permanent dipole in the uniform field is like $-p \cdot E$ ... and when we put a perturbation Hamiltonian of an external field on the neutral atom, that ...
2
votes
0
answers
753
views
How to express the wavefunction of a harmonic oscillator in a perturbing electric field?
So I am looking at the problem of the (charged) harmonic oscillator in a weak electric field - the problem that defines e.g. the polarizibility of the oscillator.
Let the fieldless Hamiltonian be:
$...
0
votes
0
answers
322
views
Dipole moments of two level systems in radiation
Hi I am starting to learn about perturbation theory in quantum mechanics, and hence I am learning about oscillating radiation and it's effect on two-level systems. I just want to confirm that in this ...
3
votes
2
answers
5k
views
The stark effect on ground state of Hydrogen
When considering the Stark Effect, we consider the effect of an external uniform weak electric field which is directed along the positive $z$-axis, $\vec{\varepsilon} = \varepsilon \vec{k}$, on the ...
5
votes
1
answer
3k
views
Meaning of dipole approximation for selection rules
This is a really tough one:
I would like to understand what it really means to apply the dipole approximation when deriving the selection rules. This question is purely about intuitive understanding ...
2
votes
0
answers
208
views
Second-order correction in Quantum-Confined Stark effect
In the wikipedia article, there is a second-order correction in the Quantum-Confined Stark Effect. I could not understand how it was solved. I did not understand the meaning of 2(0) and 1(0) and how I ...
2
votes
0
answers
421
views
Splitting of degenerate energy levels with a perturbed particle in a box
Suppose you have a particle in a square box $[0,L]\times[0,L]$. As the box is a square, the (2,1) and (1,2) eigenfunctions will have the same energy. If you were to apply an oscillating electric field ...