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NON Bolztmann ensembles

y i1. y i2. y i3. y i2. y i2. y i3. y i4. y i5. y i6. NON Bolztmann ensembles. Fermions: 2 particles cannot occupy the same quantum state occupation number n k can only be 0 or 1. P 1,2 y =- y antisymmetric.

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NON Bolztmann ensembles

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  1. yi1 yi2 yi3 yi2 yi2 yi3 yi4 yi5 yi6 NON Bolztmann ensembles Fermions: 2 particles cannot occupy the same quantum stateoccupation number nk can only be 0 or 1 P1,2y=-y antisymmetric Bosons: 2 particles can occupy the same quantum stateoccupation number nk can have any value P1,2y=+y symmetric

  2. Partition function for FD and BE Fermi-Dirac Bose-Einstein

  3. Thermo equations for FD & BE

  4. Weakly degenerate Fermi Dirac ideal gas For small deviations from classical behavior, we can use expansions on l to obtain corrections to Bolztmann

  5. Weakly degenerate Fermi Dirac ideal gas II

  6. III

  7. Coefficients of expansion

  8. Back to l

  9. Equation of state

  10. Virial coefficients

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