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11 questions with no upvoted or accepted answers
3 votes
0 answers
101 views

Perturbative Techniques In Finding Electric Field of Symmetric Distributions

Lets say we have a uniform sphere of charges at the origin (at retarded time = 0) with some velocity and we are interested in the field at a point along the x-axis (normal to the surface of the sphere)...
Donkey Kong's user avatar
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: $...
user avatar
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 ...
Sunee's user avatar
  • 47
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 ...
daunpunk's user avatar
1 vote
1 answer
102 views

Perturbation of central field potential

i`d like to consider system with Coulomb potential: $U = -\frac{\alpha}{r}$ and constant magnetic field.It is easy to write Lagrangian function: $$ L = \frac{m}{2}(\dot{\rho}^2 + \rho^2\dot{\phi}^2) + ...
Daniil Udalov's user avatar
1 vote
0 answers
38 views

Can all classical optical materials be described by perturbation theory?

In quantum field theory (e.g. lattice QED), perturbation theory can "break down" when interactions become too strong. Can something like that happen in classical non-linear optics? Can there ...
Adomas Baliuka's user avatar
1 vote
0 answers
91 views

Derivation of Equation 10.97 in Zettili: Quantization of the EM Field

I am reading through Zettili, and I am stuck on one of the steps that Zetilli makes when quantizing the EM field, specifically with page 567. Zettili first introduces the Fourier series for the ...
Joshua G-F's user avatar
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 ...
Aravind Karthigeyan's user avatar
0 votes
0 answers
46 views

A question on perturbed flux function

Given a magnetic field $\mathbf{B}=B_{0}\left(\dfrac{xz}{z_{s}^{2}},\dfrac{yz}{z_{s}^{2}}, 1-2\left( \dfrac{x^{2}}{r_{s}^{2}}+\dfrac{y^{2}}{r_{s}^{2}}\right) -\dfrac{z^{2}}{z_{s}^{2}}\right)$ with the ...
gambling addict's user avatar
0 votes
0 answers
16 views

Effects of Localized Medium Changes on Field Propagation

I've studied various theories related to fields. These theories often include equations describing how the activity of a source is transmitted to other locations. The properties of the medium ...
Luessiaw's user avatar
  • 695
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 ...
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