Light Through Matter: Quantum Mechanics & Complex Vectors

Click For Summary

Discussion Overview

The discussion centers around the quantum mechanical description of light interacting with matter, specifically exploring the representation of light in terms of complex number field vectors. Participants are examining how these vectors might relate to the behavior of light as it passes through different mediums, particularly in the context of quantum optics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant proposes a model where light is represented by two component vectors: one for light that passes straight through matter and another for light interacting with accelerated charges, suggesting these vectors are orthogonal.
  • Another participant identifies the topic as "quantum optics" and references a textbook on the subject, indicating a connection to established literature.
  • A question is raised about whether the term "quantum optics" refers to the broader field of study or specifically to the proposed model involving complex vectors.
  • Further clarification is provided that quantum optics involves the behavior of non-classical electromagnetic field states with matter, including single-photon states, while noting that linear optics aligns closely with classical electromagnetism.
  • A participant suggests that the original question could be rephrased to focus on single-photon interactions, while also questioning the representation of light as probability amplitudes in relation to its interaction with matter.

Areas of Agreement / Disagreement

Participants express varying interpretations of the relationship between quantum optics and the proposed model, indicating that multiple competing views remain. The discussion does not reach a consensus on the specifics of the representation of light through matter.

Contextual Notes

The discussion involves assumptions about the nature of light and its interaction with matter, particularly in the context of quantum mechanics versus classical theories. There are unresolved aspects regarding the mathematical representation of the proposed models and the definitions of terms used.

Who May Find This Useful

Readers interested in quantum optics, the interaction of light with matter, and advanced theoretical models in physics may find this discussion relevant.

forcefield
Messages
141
Reaction score
3
I've been reading Feynman's (classical) derivation of the refractive index and I wonder if there is a more quantum mechanical description in terms of complex number field vectors - one vector for that part of light that goes straight through and another for that part of light that goes through accelerated charges - so that those component vectors are exactly at 90 degree angle with respect to each other so that total field vector is the sum of those component field vectors and if energy is proportional to square of field then total energy is also simply the sum of the energies of those component fields ?

(To clarify, I'm not asking about the refractive index but about the way that the field is divided between the part that goes straight through and the part that goes through accelerated charges).
 
Physics news on Phys.org
That's called "quantum optics". My favorite textbook is

J. C. Garrison, R. Y. Chiao, Quantum Optics, Oxford University Press (2008)
 
vanhees71 said:
That's called "quantum optics".
Do you mean that within quantum physics "light through matter" is called "quantum optics" or that what I suggested is part of quantum optics ?
 
Quantum optics is, among other things, about the behavior of non-classical em.-field states with matter, among them also single-photon states. I understood your question in the way that you are asking for single-photon interactions with matter. As far as linear optics is concerned everything is more or less the same as in classical electromagnetism a la Maxwell, since in the linear approximation it doesn't matter too much, whether you deal with c-number fields (classical theory) or field operators (quantum field theory).
 
vanhees71 said:
I understood your question in the way that you are asking for single-photon interactions with matter.
Well, perhaps one can replace "part of light" in my OP with "photon"; but my question was about whether the light that reaches a point at the other side of matter can be represented with c-number fields that also represent probability amplitudes for part of light to either go straight through the matter or go through a charge that it accelerates.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 14 ·
Replies
14
Views
3K
Replies
2
Views
2K
  • · Replies 16 ·
Replies
16
Views
4K
  • · Replies 12 ·
Replies
12
Views
5K
  • · Replies 16 ·
Replies
16
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
8K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K