Physics:Quantum methods/quantization
Quantization is the procedure of constructing a quantum theory from a corresponding classical system. It provides the bridge between classical descriptions of physical systems and their quantum counterparts.
Overview of key concepts in quantum field theory
Overview
In classical physics, physical quantities such as position and momentum are represented by numbers. In quantum theory, they are represented by operators acting on a Hilbert space.
The fundamental rule of canonical quantization replaces classical Poisson brackets with commutators:
Types of quantization
- Canonical quantization – promotes classical variables to operators
- Path integral quantization – sums over all possible histories
- Second quantization – describes systems with variable particle number
Applications
Quantization underlies quantum field theory, many-body theory, and modern particle physics.
See also
Table of contents (198 articles)
Index
Core theory
Applications and extensions
Full contents
1. Foundations (14) Back to index
2. Conceptual and interpretations (14) Back to index
3. Mathematical structure and systems (15) Back to index
4. Atomic and spectroscopy (14) Back to index
5. Wavefunctions and modes (9) Back to index
6. Quantum dynamics and evolution (20) Back to index
7. Measurement and information (9) Back to index
8. Quantum information and computing (10) Back to index
9. Quantum optics and experiments (5) Back to index
10. Open quantum systems (9) Back to index
11. Quantum field theory (23) Back to index
12. Statistical mechanics and kinetic theory (9) Back to index
13. Condensed matter and solid-state physics (15) Back to index
162. Physics:Quantum well
167. Physics:Quantum dot
14. Plasma and fusion physics (8) Back to index
15. Timeline (8) Back to index
16. Advanced and frontier topics (16) Back to index
References
Author: Harold Foppele
Source attribution: Physics:Quantum Quantization