What is recorded here?
Fermi imposed at most one particle per specified quantum state in an ideal monoatomic gas. Counting occupations in a harmonic confinement model produced a statistical distribution and low-temperature changes in pressure and specific heat. Classical gas laws leave the low-temperature entropy and heat capacity unresolved. Limiting state occupation changes the counting: low-energy levels fill, so additional particles must occupy higher states. This creates degeneracy effects while recovering classical behavior at high temperature. The contribution extends exclusion-based reasoning to gas thermodynamics, distinct from Fermi's later beta-decay and cosmic-ray work.
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Scientific scope
The 1926 note states principles and results, reserving mathematical details for a later work. It assumes an ideal gas and the exclusion hypothesis; it is not an experimental validation or a model of every interacting gas. The inspected English translation dates from 1999.
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People and systems
Enrico Fermi
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English catalogue narrative
Fermi: exclusion-based statistics of an ideal gas
Fermi imposed at most one particle per specified quantum state in an ideal monoatomic gas. Counting occupations in a harmonic confinement model produced a statistical distribution and low-temperature changes in pressure and specific heat.
Classical gas laws leave the low-temperature entropy and heat capacity unresolved. Limiting state occupation changes the counting: low-energy levels fill, so additional particles must occupy higher states. This creates degeneracy effects while recovering classical behavior at high temperature. The contribution extends exclusion-based reasoning to gas thermodynamics, distinct from Fermi's later beta-decay and cosmic-ray work.
Scientific scope
The 1926 note states principles and results, reserving mathematical details for a later work. It assumes an ideal gas and the exclusion hypothesis; it is not an experimental validation or a model of every interacting gas. The inspected English translation dates from 1999.
People and systems
Enrico Fermi