Physics:Quantum Statistical mechanics - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:30Z

Restore missing Quantum reference definitions

@@ Line 19: / Line 19: @@
 ==From quantum states to ensembles==
-In ordinary quantum mechanics, a system is described by a state vector <math>|\psi\rangle</math>. For macroscopic systems with enormous numbers of degrees of freedom, however, it is usually neither practical nor physically appropriate to specify a single pure state in complete detail.<ref name="Huang"/><ref name="Peres">{{cite book
+In ordinary quantum mechanics, a system is described by a state vector <math>|\psi\rangle</math>. For macroscopic systems with enormous numbers of degrees of freedom, however, it is usually neither practical nor physically appropriate to specify a single pure state in complete detail.<ref name="Huang">{{cite book
   |last=Peres
   |first=Asher
@@ Line 28: / Line 36: @@
 }}</ref>
-Instead, one introduces '''statistical ensembles''' that describe probabilities for different possible quantum states consistent with the macroscopic constraints on the system, such as fixed temperature, energy, or particle number.<ref name="LandauLifshitz"/><ref name="Reichl">{{cite book
+Instead, one introduces '''statistical ensembles''' that describe probabilities for different possible quantum states consistent with the macroscopic constraints on the system, such as fixed temperature, energy, or particle number.<ref name="LandauLifshitz">{{cite book
   |last=Reichl
   |first=Linda E.
@@ Line 98: / Line 116: @@
 </math>
-is the canonical partition function.<ref name="Huang"/><ref name="KadanoffBaym"/>
+is the canonical partition function.<ref name="Huang"/><ref name="KadanoffBaym">{{cite book
 If the Hamiltonian has eigenvalues <math>E_n</math>, then
@@ Line 125: / Line 152: @@
 </math>
-Here <math>\mu</math> is the chemical potential and <math>N</math> is the particle-number operator.<ref name="Pathria"/><ref name="Reichl"/>
+Here <math>\mu</math> is the chemical potential and <math>N</math> is the particle-number operator.<ref name="Pathria">{{cite book
 This formulation is essential for quantum gases, photons, phonons, electrons in solids, and many-body field-theoretic treatments.<ref name="KadanoffBaym"/><ref name="LandauLifshitz"/>
@@ Line 285: / Line 322: @@
 {{#invoke:PhysicsQC|tocHeadingAndList|Physics:Quantum basics/See also}}
-=References=
+= References =
 {{reflist|3}}
 {{Author|Harold Foppele}}

Maintenance script: Normalize quantum page header order

2026-05-22T11:33:44Z

Normalize quantum page header order

← Older revision		Revision as of 11:33, 22 May 2026
Line 2:		Line 2:
	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
	{{Quantum article nav\|previous=Physics:Quantum confinement problem\|previous label=Confinement problem\|next=Physics:Quantum Partition function\|next label=Partition function}}		{{Quantum article nav\|previous=Physics:Quantum confinement problem\|previous label=Confinement problem\|next=Physics:Quantum Partition function\|next label=Partition function}}

	<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

2026-05-22T11:12:02Z

Clean Book label remnants and backlink spacing

← Older revision		Revision as of 11:12, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}		{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
	{{Quantum article nav\|previous=Physics:Quantum confinement problem\|previous label=Confinement problem\|next=Physics:Quantum Partition function\|next label=Partition function}}		{{Quantum article nav\|previous=Physics:Quantum confinement problem\|previous label=Confinement problem\|next=Physics:Quantum Partition function\|next label=Partition function}}

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

2026-05-22T11:04:15Z

Remove hidden BOM characters and direct Book label after Short description

← Older revision		Revision as of 11:04, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}~~Book I~~		{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}

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

2026-05-22T10:49:16Z

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\|Quantum Collection topic on Quantum Statistical mechanics}}		{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}Book I

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}

Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T12:36:14Z

Apply continuous Quantum previous-next navigation

← Older revision		Revision as of 12:36, 20 May 2026
Line 1:		Line 1:
	~~~~{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}		{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
	{{Quantum article nav\|next=Physics:Quantum Partition function\|next label=Partition function}}		{{Quantum article nav\|previous=Physics:Quantum confinement problem\|previous label=Confinement problem\|next=Physics:Quantum Partition function\|next label=Partition function}}

	<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: Apply Quantum previous-next navigation

2026-05-20T12:26:27Z

Apply Quantum previous-next navigation

← Older revision		Revision as of 12:26, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}		{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
			{{Quantum article nav\|next=Physics:Quantum Partition function\|next label=Partition function}}

	<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

2026-05-20T09:05:17Z

Improve Book I intro quality

← Older revision		Revision as of 09:05, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}		{{Short description\|Quantum Collection topic on Quantum Statistical mechanics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
Line 10:		Line 10:

	<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;">
	'''Statistical mechanics''' ~~is a Book I topic in the Quantum Collection. Quantum~~ statistical mechanics is the branch of physics that explains how macroscopic thermodynamic behavior emerges from the collective properties of many quantum particles. It provides the conceptual link between microscopic quantum mechanics and macroscopic thermodynamics, and is fundamental for the theory of many-body systems, partition functions, quantum distribution functions, superconductivity, and superfluidity. Quantum statistical mechanics is the branch of physics that explains how macroscopic thermodynamic behavior emerges from the collective properties of many quantum particles.~~{{cite book }} It provides the conceptual link between microscopic~~ quantum mechanics ~~and macroscopic thermodynamics, and~~ is ~~fundamental for~~ the ~~theory~~ of ~~many-body systems, partition functions, quantum distribution functions, superconductivity, and superfluidity~~.~~{{cite book In ordinary quantum mechanics,~~ a system is ~~described by a state vector \|\psi\rangle.~~		'''Statistical mechanics''' quantum statistical mechanics is the branch of physics that explains how macroscopic thermodynamic behavior emerges from the collective properties of many quantum particles. It provides the conceptual link between microscopic quantum mechanics and macroscopic thermodynamics, and is fundamental for the theory of many-body systems, partition functions, quantum distribution functions, superconductivity, and superfluidity. Quantum statistical mechanics is the branch of physics that explains how macroscopic thermodynamic behavior emerges from the collective properties of many quantum particles. The natural language of quantum statistical mechanics is the density operator or density matrix. Expectation values of observables are given by Different physical constraints lead to different equilibrium ensembles. For a system in contact with a heat bath at temperature T, the density operator is
	</div>		</div>

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

2026-05-20T08:16:58Z

Clean Book I red links, intro, and image slots

@@ Line 1: / Line 1: @@
 {{Short description|Quantum Collection topic on Quantum Statistical mechanics}}
 {{Quantum book backlink|Statistical mechanics and kinetic theory}}
@@ Line 10: / Line 10: @@
 <div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
-'''Quantum statistical mechanics''' is the branch of physics that explains how macroscopic thermodynamic behavior emerges from the collective properties of many quantum particles.<ref name="Huang">{{cite book
+'''Statistical mechanics''' is a Book I topic in the Quantum Collection. Quantum statistical mechanics is the branch of physics that explains how macroscopic thermodynamic behavior emerges from the collective properties of many quantum particles. It provides the conceptual link between microscopic quantum mechanics and macroscopic thermodynamics, and is fundamental for the theory of many-body systems, partition functions, quantum distribution functions, superconductivity, and superfluidity. Quantum statistical mechanics is the branch of physics that explains how macroscopic thermodynamic behavior emerges from the collective properties of many quantum particles.{{cite book }} It provides the conceptual link between microscopic quantum mechanics and macroscopic thermodynamics, and is fundamental for the theory of many-body systems, partition functions, quantum distribution functions, superconductivity, and superfluidity.{{cite book In ordinary quantum mechanics, a system is described by a state vector |\psi\rangle.
 </div>

Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:50:41Z

Normalize Book I Quantum page structure

← Older revision		Revision as of 22:50, 19 May 2026
Line 330:		Line 330:
	[[Category:Quantum mechanical entropy]]		[[Category:Quantum mechanical entropy]]

	{{Sourceattribution\|Quantum Statistical mechanics\|1}}		{{Sourceattribution\|Physics:Quantum Statistical mechanics\|1}}