Microcanonical Ensemble in Quantum Statistical Mechanics
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Statistical Ensemble
|
| gptkbp:appliesTo |
Systems with No Energy Exchange
|
| gptkbp:assumes |
Fixed Energy
Fixed Number of Particles Fixed Volume |
| gptkbp:basisFor |
Fundamental Postulate of Statistical Mechanics
|
| gptkbp:describes |
Isolated Quantum System
|
| gptkbp:energyFluctuations |
Zero
|
| gptkbp:ensembleAverage |
Equal to Time Average for Ergodic Systems
|
| gptkbp:entropyDefinition |
S = k_B ln Ω
|
| gptkbp:field |
Quantum Statistical Mechanics
|
| gptkbp:historicallyIntroducedBy |
gptkb:Ludwig_Boltzmann
|
| https://www.w3.org/2000/01/rdf-schema#label |
Microcanonical Ensemble in Quantum Statistical Mechanics
|
| gptkbp:mathematicalRepresentation |
Density Matrix Proportional to Identity on Energy Shell
|
| gptkbp:partitionFunction |
Ω (Number of States in Energy Interval)
|
| gptkbp:probabilityDistribution |
Uniform over Accessible States
|
| gptkbp:relatedTo |
Canonical Ensemble
Grand Canonical Ensemble |
| gptkbp:temperatureDefinition |
T = (∂S/∂E)^{-1}
|
| gptkbp:usedFor |
Calculation of Thermodynamic Properties
|
| gptkbp:Ω |
Number of Accessible Microstates
|
| gptkbp:bfsParent |
gptkb:Robert_B._Griffiths
|
| gptkbp:bfsLayer |
7
|