Physics:Quantum Fock space - Revision history

WikiHarold: Expand short Quantum intro

2026-05-23T23:02:16Z

Expand short Quantum intro

← Older revision		Revision as of 23:02, 23 May 2026
Line 6:		Line 6:

	\|image=[[File:Quantum_fock_space_yellow.png\|430px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]		\|image=[[File:Quantum_fock_space_yellow.png\|430px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]
	\|text=~~'''Quantum~~ Fock space~~'''~~ is a Hilbert-space construction ~~used to describe~~ systems ~~with a variable~~ number of particles. It is built ~~as a direct sum of sectors containing~~ zero ~~particles~~, one particle, two ~~particles~~, and ~~so on~~.~~<ref>{{cite web \|url=https://en~~.~~wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>~~		\|text=Fock space is a Book I topic in the Quantum Collection. It is a Hilbert-space construction for quantum systems in which the number of particles is allowed to vary. The space is built from zero-particle, one-particle, two-particle, and higher-particle sectors, with symmetry imposed for bosons and antisymmetry for fermions. Creation and annihilation operators move states between these sectors. Fock space is central in quantum field theory, many-body physics, second quantization, photons, phonons, and the description of variable-particle-number processes.

	Fock space is central ~~to [[Physics:Quantum field theory (QFT) basics\|~~quantum field theory]], many-body physics, and ~~quantum optics because particles can be created and destroyed. It provides~~ the ~~natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]]~~.
	}}		}}
	== Particle-number sectors ==		== Particle-number sectors ==

WikiHarold: Use Quantum See also index module

2026-05-23T22:20:08Z

Use Quantum See also index module

← Older revision		Revision as of 22:20, 23 May 2026
Line 21:		Line 21:

	== See also ==		== See also ==
	* [[Physics:Quantum Creation and annihilation operators]]		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}
	* [[Physics:Quantum Second quantization]]
	* [[Physics:~~Quantum many-body problem]]~~
	* [[Physics:Quantum ~~vacuum field]]~~

	== References ==		== References ==

Maintenance script: Normalize quantum page header order

2026-05-22T11:33:26Z

Normalize quantum page header order

← Older revision		Revision as of 11:33, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}
			{{Quantum book backlink\|Quantum field theory}}
			{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}
	{{ScholarlyWiki page top		{{ScholarlyWiki page top
	\|backlink=~~{{Quantum book backlink\|Quantum field theory}}~~		\|backlink=
	~~{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}~~
	\|image=[[File:Quantum_fock_space_yellow.png\|430px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]		\|image=[[File:Quantum_fock_space_yellow.png\|430px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]
	\|text='''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>		\|text='''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>
Line 8:		Line 10:
	Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].		Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].
	}}		}}

	== Particle-number sectors ==		== Particle-number sectors ==
	The zero-particle sector is the vacuum state. Applying a creation operator moves the system into a sector with one more excitation, while an annihilation operator lowers the particle number when possible.		The zero-particle sector is the vacuum state. Applying a creation operator moves the system into a sector with one more excitation, while an annihilation operator lowers the particle number when possible.

Maintenance script: Clean short description spacing and backlink header

2026-05-22T11:20:07Z

Clean short description spacing and backlink header

← Older revision		Revision as of 11:20, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}

	{{ScholarlyWiki page top		{{ScholarlyWiki page top
	\|backlink={{Quantum book backlink\|Quantum field theory}}		\|backlink={{Quantum book backlink\|Quantum field theory}}

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

2026-05-22T11:03:57Z

Remove hidden BOM characters and direct Book label after Short description

← Older revision		Revision as of 11:03, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}~~Book I~~		{{Short description\|Hilbert-space construction for variable particle number}}

	{{ScholarlyWiki page top		{{ScholarlyWiki page top

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

2026-05-22T10:49:00Z

Clean Short description prefix and add Book I label

← Older revision		Revision as of 10:49, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}Book I

	{{ScholarlyWiki page top		{{ScholarlyWiki page top

Maintenance script: Use ScholarlyWiki page top template for concept page

2026-05-20T22:23:51Z

Use ScholarlyWiki page top template for concept page

← Older revision		Revision as of 22:23, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}
	{{Quantum book backlink\|Quantum field theory}}
			{{ScholarlyWiki page top
			\|backlink={{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}		{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}
			\|image=[[File:Quantum_fock_space_yellow.png\|430px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]
	[[File:Quantum_fock_space_yellow.png\|~~thumb\|right\|320px~~\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]		\|text='''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	'''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].		Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].
			}}

	== Particle-number sectors ==		== Particle-number sectors ==

Maintenance script: Simplify top image layout for Quantum concept page

2026-05-20T22:20:28Z

Simplify top image layout for Quantum concept page

← Older revision		Revision as of 22:20, 20 May 2026
Line 3:		Line 3:
	{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}		{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}

	~~<div style="display~~:~~flex; gap:24px; align-items:flex-start; max-width:1280px; clear:both;">~~		[[File:Quantum_fock_space_yellow.png\|thumb\|right\|320px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]
	~~<div style="flex:1 1 680px; min-width:0; line-height:1.55;">~~
	'''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>		'''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].		Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].
	~~</div>~~
	~~<div style="flex:0 0 380px; max-width:38%;">~~
	~~[[File:Quantum_fock_space_yellow.png\|thumb\|360px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]~~
	~~</div>~~
	~~</div>~~

	~~<div style="clear:both;"></div>~~

	== Particle-number sectors ==		== Particle-number sectors ==

Maintenance script: Improve top layout for Quantum concept page

2026-05-20T22:17:24Z

Improve top layout for Quantum concept page

← Older revision		Revision as of 22:17, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}
	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}		{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}

	~~[[File~~:~~Quantum_fock_space_yellow~~.~~png\|thumb\|280px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]~~		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1280px; clear:both;">
			<div style="flex:1 1 680px; min-width:0; line-height:1.55;">
	'''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>		'''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].		Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].
			</div>
			<div style="flex:0 0 380px; max-width:38%;">
			[[File:Quantum_fock_space_yellow.png\|thumb\|360px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]
			</div>
			</div>

			<div style="clear:both;"></div>

	== Particle-number sectors ==		== Particle-number sectors ==

Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T21:59:47Z

Apply continuous Quantum previous-next navigation

← Older revision		Revision as of 21:59, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}
	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
			{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}

	[[File:Quantum_fock_space_yellow.png\|thumb\|280px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]		[[File:Quantum_fock_space_yellow.png\|thumb\|280px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]

← Older revision		Revision as of 22:23, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}
	{{Quantum book backlink\|Quantum field theory}}
			{{ScholarlyWiki page top
			\|backlink={{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}		{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}
			\|image=[[File:Quantum_fock_space_yellow.png\|430px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]
	[[File:Quantum_fock_space_yellow.png\|~~thumb\|right\|320px~~\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]		\|text='''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	'''Quantum Fock space''' is a Hilbert-space construction used to describe systems with a variable number of particles. It is built as a direct sum of sectors containing zero particles, one particle, two particles, and so on.<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Fock_space \|title=Fock space \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].		Fock space is central to [[Physics:Quantum field theory (QFT) basics\|quantum field theory]], many-body physics, and quantum optics because particles can be created and destroyed. It provides the natural setting for [[Physics:Quantum Creation and annihilation operators\|creation and annihilation operators]].
			}}

	== Particle-number sectors ==		== Particle-number sectors ==

← Older revision		Revision as of 21:59, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Hilbert-space construction for variable particle number}}		{{Short description\|Hilbert-space construction for variable particle number}}
	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
			{{Quantum article nav\|previous=Physics:Quantum Second quantization\|previous label=Second quantization\|next=Physics:Quantum Harmonic Oscillator field modes\|next label=Harmonic Oscillator field modes}}

	[[File:Quantum_fock_space_yellow.png\|thumb\|280px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]		[[File:Quantum_fock_space_yellow.png\|thumb\|280px\|Fock space as sectors with different particle numbers connected by creation and annihilation operators.]]