Physics:Quantum Fields and Particles - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:09Z

Restore missing Quantum reference definitions

← Older revision		Revision as of 00:31, 24 May 2026
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	== Quantization of fields ==		== Quantization of fields ==
	The transition from classical field theory to quantum field theory occurs through quantization, where the field variables are promoted to operators acting on a Hilbert space.<ref name="peskin"/>		The transition from classical field theory to quantum field theory occurs through quantization, where the field variables are promoted to operators acting on a Hilbert space.<ref name="peskin">Peskin, M. E.; Schroeder, D. V. ''An Introduction to Quantum Field Theory'' (1995).</ref>

	For a bosonic field, the canonical commutation relation is		For a bosonic field, the canonical commutation relation is
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	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

	== References ==		= References =
	{{reflist\|3}}		{{reflist\|3}}
	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Physics:Quantum Fields and Particles\|1}}		{{Sourceattribution\|Physics:Quantum Fields and Particles\|1}}

Maintenance script: Normalize quantum page header order

2026-05-22T11:33:23Z

Normalize quantum page header order

← Older revision		Revision as of 11:33, 22 May 2026
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	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) core\|previous label=Field theory (QFT) core\|next=Physics:Quantum Second quantization\|next label=Second quantization}}		{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) core\|previous label=Field theory (QFT) core\|next=Physics:Quantum Second quantization\|next label=Second quantization}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:11:42Z

Clean Book label remnants and backlink spacing

← Older revision		Revision as of 11:11, 22 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}		{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) core\|previous label=Field theory (QFT) core\|next=Physics:Quantum Second quantization\|next label=Second quantization}}		{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) core\|previous label=Field theory (QFT) core\|next=Physics:Quantum Second quantization\|next label=Second quantization}}

Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:03:55Z

Remove hidden BOM characters and direct Book label after Short description

← Older revision		Revision as of 11:03, 22 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}~~Book I~~		{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}

Maintenance script: Clean Short description prefix and add Book I label

2026-05-22T10:48:58Z

Clean Short description prefix and add Book I label

← Older revision		Revision as of 10:48, 22 May 2026
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	~~~~{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}		{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}Book I

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}

Maintenance script: Apply Quantum previous-next navigation

2026-05-20T12:25:56Z

Apply Quantum previous-next navigation

← Older revision		Revision as of 12:25, 20 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}		{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
			{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) core\|previous label=Field theory (QFT) core\|next=Physics:Quantum Second quantization\|next label=Second quantization}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Improve Book I intro quality

2026-05-20T09:04:53Z

Improve Book I intro quality

← Older revision		Revision as of 09:04, 20 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}		{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
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	<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''Fields and Particles''' ~~is a Book I topic in the Quantum Collection. Quantum~~ fields and particles are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields. This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently. Quantum fields and particles are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields. This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently.		'''Fields and Particles''' quantum fields and particles are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields. This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently. Quantum fields and particles are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields. This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently. Each point in space-time is associated with field degrees of freedom, and the field extends continuously throughout the universe.
	</div>		</div>

Maintenance script: Clean Book I red links, intro, and image slots

2026-05-20T08:16:17Z

Clean Book I red links, intro, and image slots

← Older revision		Revision as of 08:16, 20 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}		{{Short description\|Quantum Collection topic on Quantum Fields and Particles}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
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	<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''Quantum fields and particles~~'''~~ are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields.~~<ref name="peskin">Peskin, M~~. ~~E.; Schroeder~~, ~~D. V. ''An Introduction to Quantum Field Theory'' (1995)~~.~~</ref>~~ This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently.		'''Fields and Particles''' is a Book I topic in the Quantum Collection. Quantum fields and particles are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields. This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently. Quantum fields and particles are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields. This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently.
	</div>		</div>

Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:50:19Z

Normalize Book I Quantum page structure

← Older revision		Revision as of 22:50, 19 May 2026
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	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Quantum ~~field theory (QFT) core~~\|1}}		{{Sourceattribution\|Physics:Quantum Fields and Particles\|1}}

Harold: Arrange page top as TOC lead image columns

2026-05-17T14:02:02Z

Arrange page top as TOC lead image columns

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 {{Quantum book backlink|Quantum field theory}}
 '''Quantum fields and particles''' are the central concepts of quantum field theory, in which the basic ingredients of nature are continuous fields defined over space-time and particles are understood as quantized excitations of those fields.<ref name="peskin">Peskin, M. E.; Schroeder, D. V. ''An Introduction to Quantum Field Theory'' (1995).</ref> This framework unifies quantum mechanics with special relativity and replaces the older picture of particles as isolated point-like objects moving independently.
-[[File:Quantum_fields_particles_excitation_yellow.jpg|thumb|400px|Particles as excitations of quantum fields: localized quanta appear as ripples on underlying continuous fields.]]
+</div>
 == Fields as fundamental entities ==