Physics:Quantum methods/quantization: Difference between revisions

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{{Short description|Procedure of constructing a quantum theory from a classical system}}
{{Short description|Procedure of constructing a quantum theory from a classical system}}


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{{Quantum methods backlink|Field and many-body methods}}


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'''Quantization''' is the procedure of constructing a [[quantum mechanics|quantum theory]] from a corresponding [[classical mechanics|classical system]]. It provides the bridge between classical descriptions of physical systems and their quantum counterparts.
'''Quantization''' is the procedure of constructing a [[quantum mechanics|quantum theory]] from a corresponding [[classical mechanics|classical system]]. It provides the bridge between classical descriptions of physical systems and their quantum counterparts.


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<div style="font-size:90%;">Overview of key concepts in quantum field theory</div>
<div style="font-size:90%;">Overview of key concepts in quantum field theory</div>
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Revision as of 15:50, 17 May 2026


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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
Quantum methods/quantization.

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: [x,p]=iℏ

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

Full contents

9. Quantum optics and experiments (5) Back to index
Experimental quantum physics: qubits, dilution refrigerators, quantum communication, and laboratory systems.
Experimental quantum physics: qubits, dilution refrigerators, quantum communication, and laboratory systems.
14. Plasma and fusion physics (8) Back to index
Conceptual illustration of plasma physics in a fusion context, showing magnetically confined ionized gas in a tokamak and the collective behavior governed by electromagnetic fields and transport processes.
Conceptual illustration of plasma physics in a fusion context, showing magnetically confined ionized gas in a tokamak and the collective behavior governed by electromagnetic fields and transport processes.

References


Author: Harold Foppele


Source attribution: Physics:Quantum Quantization

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