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Statistical Mechanics

Graduate-level course

🏠Stat Mech Overview
🎲I. Ensembles
🌡️II. Quantum Gases
1. Ideal Quantum Gases2. Bose-Einstein Condensation3. Fermi Systems4. Classical Limit
🔀III. Phase Transitions
🚀IV. Advanced Topics

Part 2: Quantum Gases

Ideal Quantum Gases

Ideal Bose and Fermi gases, equations of state, and low-temperature behavior

Bose Einstein Condensation

Critical temperature, condensate fraction, lambda transition, and superfluidity

Fermi Systems

Fermi energy, degeneracy pressure, Sommerfeld expansion, and Pauli paramagnetism

Classical Limit

Thermal de Broglie wavelength, Gibbs paradox, equipartition, and Sackur-Tetrode entropy

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