Field Quantization: Raising & Lowering Operators

  • Context: Graduate 
  • Thread starter Thread starter wasi-uz-zaman
  • Start date Start date
  • Tags Tags
    Field Quantization
Click For Summary
SUMMARY

Field quantization involves the use of raising and lowering operators, particularly in the context of electromagnetic fields within a cavity. The discussion highlights two primary questions: whether the field is only quantized in a cavity and how to connect the modes of the electromagnetic field with harmonic oscillators. A foundational understanding of Quantum Field Theory (QFT) is essential for addressing these questions effectively. Recommended resources include introductory texts that do not require advanced quantum mechanics knowledge.

PREREQUISITES
  • Basic Quantum Mechanics (QM)
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with raising and lowering operators
  • Knowledge of harmonic oscillators
NEXT STEPS
  • Study Quantum Field Theory fundamentals
  • Explore the relationship between electromagnetic fields and harmonic oscillators
  • Review introductory texts on QFT, such as "Quantum Field Theory for the Gifted Amateur"
  • Investigate the role of cavities in field quantization
USEFUL FOR

Students and researchers in physics, particularly those focusing on Quantum Field Theory, electromagnetic theory, and the mathematical foundations of quantum mechanics.

wasi-uz-zaman
Messages
89
Reaction score
1
hi, i studied the field quantization in terms of raising and lowering operators , in its derivation we consider cavity- my question -a) Is field consider to be quantized in cavity only ?
b)how do we link mode of electromagnetic field with harmonic oscillator ?
 
Physics news on Phys.org
wasi-uz-zaman said:
hi, i studied the field quantization in terms of raising and lowering operators , in its derivation we consider cavity- my question -a) Is field consider to be quantized in cavity only ?
b)how do we link mode of electromagnetic field with harmonic oscillator ?

You really need to study QFT from the start. If you know basic QM check out the following:
https://www.physicsforums.com/threads/is-light-a-wave-or-a-particle.511178/

And if you don't then really you need to do that first. The above book is unique in that you don't need advanced QM - the following will suffice:
https://www.amazon.com/dp/0465036678/?tag=pfamazon01-20

It examines these fundamental issues very carefully.

Thanks
Bill
 
Last edited by a moderator:

Similar threads

Graduate Anti-commutation relation for quantized fields
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Quantization of the electromagnetic field
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Eigenstates of the Klein Gordon Field Operator
  • · Replies 8 ·
Replies
8
Views
1K
Graduate Second Quantization in QFT
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Can anyone give me the details of creating a cat state in Circuit QED?
  • · Replies 16 ·
Replies
16
Views
4K
Graduate Does x affect the value of [a^2,(a^†)^2×e^2ikx]
  • · Replies 2 ·
Replies
2
Views
2K
High School Creation and annihilation operators in particle physics
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Quantization of real Klein-Gordon field (sign issues)
  • · Replies 24 ·
Replies
24
Views
3K
Undergrad Where do wave functions come from?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Commutation relations between HO operators | QFT; free scalar field
  • · Replies 10 ·
Replies
10
Views
2K