Incertitude relations from QFT

  • Context: Graduate 
  • Thread starter Thread starter TeTeC
  • Start date Start date
  • Tags Tags
    Qft Relations
Click For Summary
SUMMARY

In quantum field theory (QFT), there are no uncertainty relations, contrasting with their established presence in non-relativistic quantum mechanics (QM). The discussion explores the possibility of reconciling these differences by deriving uncertainty relations from QFT through the non-relativistic limit. Specifically, it highlights the example of quantum electrodynamics (QED), which features uncertainty relations such as the number-of-photons/wave-phase uncertainty.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly non-relativistic QM.
  • Familiarity with quantum field theory (QFT) concepts.
  • Knowledge of quantum electrodynamics (QED) and its implications.
  • Basic grasp of the non-relativistic limit in physics.
NEXT STEPS
  • Research the derivation of uncertainty relations in non-relativistic quantum mechanics.
  • Study the principles of quantum field theory and its foundational concepts.
  • Examine the implications of quantum electrodynamics (QED) on uncertainty relations.
  • Explore the mathematical framework for taking the non-relativistic limit in quantum theories.
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the foundations of quantum theory and the relationship between quantum mechanics and quantum field theory.

TeTeC
Messages
55
Reaction score
0
Hello,

There are no incertitude relations in QFT. On the other hand, these incertainty relations do exist in non-relativistic QM. How can we reconcile these two facts ? Is it possible to "derive" uncertainty relations from QFT by "taking the non-relativistic limit" ?

Thanks !
 
Physics news on Phys.org
In QED there is, for example, the number-of-photons/wave-phase uncertainty, and some others.
 

Similar threads

Graduate Physical properties of the vacuum in GR vs. QFT
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad The Power of QM and QFT
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Importance of Densities in QFT
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Infinities in QFT (and physics in general)
  • · Replies 113 ·
4
Replies
113
Views
11K
Undergrad Uncertainty Principle in QFT & Early Universe Conditions
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Quantum Field theory vs. many-body Quantum Mechanics
  • · Replies 36 ·
2
Replies
36
Views
7K
Undergrad Interval in Quantum Mechanics?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Why is position just a label in QFT?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad What do the commutation/anti-commutation relations mean in QFT?
  • · Replies 18 ·
Replies
18
Views
5K
Graduate Interpreting the energy density of QFT vacuum states
  • · Replies 3 ·
Replies
3
Views
2K