Can 1D Cavities Explain Free Space Physics in EM-Field Quantization?

  • Context: Graduate 
  • Thread starter Thread starter Niles
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on the relationship between 1D cavities and free space in the context of electromagnetic (EM) field quantization. Participants clarify that the quantization process begins with a 1D cavity, which simplifies the understanding of single-mode fields, before progressing to free space, which involves multi-mode fields. The 1D cavity serves primarily as an introductory exercise to illustrate the fundamental principles of quantization, rather than directly explaining the complexities of free space physics.

PREREQUISITES
  • Understanding of electromagnetic field quantization
  • Familiarity with single-mode and multi-mode field concepts
  • Knowledge of 1D cavity physics
  • Basic principles of quantum mechanics
NEXT STEPS
  • Research the principles of electromagnetic field quantization in greater detail
  • Explore the differences between single-mode and multi-mode fields
  • Study the role of 1D cavities in quantum mechanics
  • Investigate advanced topics in free space physics and its implications
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the quantization of electromagnetic fields and the foundational concepts of cavity quantum electrodynamics.

Niles
Messages
1,834
Reaction score
0
Hi

In all the books I've read on quantization of the EM-field, they do it 2 times: First they do it for a 1D cavity with no sources, which yields single-mode fields. Then they do it for free space with no sources, which yields multi-mode fields. I can't see the connection between these two setups. Somehow the physics of free space can be expressed by 1D cavities?


Niles.
 
Physics news on Phys.org
Niles said:
Hi

In all the books I've read on quantization of the EM-field, they do it 2 times: First they do it for a 1D cavity with no sources, which yields single-mode fields. Then they do it for free space with no sources, which yields multi-mode fields. I can't see the connection between these two setups. Somehow the physics of free space can be expressed by 1D cavities?
No. The cavity case is just a warm-up exercise for the more complex full thing, to demonstrate how the machinery works.
 

Similar threads

Undergrad QED Picture of static EM Fields
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Visualizing the Attached EM Field for Free Electron in QFT
  • · Replies 19 ·
Replies
19
Views
3K
Graduate Can anyone give me the details of creating a cat state in Circuit QED?
  • · Replies 16 ·
Replies
16
Views
4K
Graduate Static field from ensemble of photons
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Wavefunction of quantzed field states
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Quantizing the EM-Field: Eigenvalues Explained
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Photon Bouncing during APD Dead Time in Autocorrelation Measurement
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Change in the EM field energy due to dispersion of a wave packet
  • · Replies 20 ·
Replies
20
Views
3K
Undergrad Transmission Line EM Wave vs EM Wave in Free Space
  • · Replies 18 ·
Replies
18
Views
2K
Graduate Photon Average Energy in a Cavity Resonator
  • · Replies 6 ·
Replies
6
Views
7K