| 1 |
Introduction
Probability density, Cumulative probability |
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| 2 |
Probability examples, Averages, Poisson distribution |
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| 3 |
Two random variables, Conditional probability |
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| 4 |
Poisson distribution derived, jointly Gaussian random variables |
Problem set 1 due |
| 5 |
Functions of a Random Variable |
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| 6 |
Functions of a Random Variable (more than one) |
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| 7 |
Summation and convolution |
Problem set 2 due |
| 8 |
Central Limit Theorem |
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| 9 |
Introduction to Thermodynamics, Zeroth Law, Empirical temperature |
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| 10 |
Temperature scale, Work |
Problem set 3 due |
| 11 |
Exact differentials, First Law of Thermodynamics |
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| 12 |
Ideal gas, Adiabatic path |
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| 13 |
Phase space, Equal a priori probabilities |
Problem set 4 due |
| 14 |
Microcanonical Ensemble, Entropy |
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| 15 |
Second Law of Thermodynamics, Examples using entropy |
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| 16 |
Two level system |
Problem set 5 due |
| 17 |
Entropy as a state function |
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| Exam 1 |
| 18 |
Maxwell relations, Thermodynamic potentials |
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| 19 |
Equivalent statements of the Second Law, Carnot Engine |
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| 20 |
Refrigerator, Heat pump, Other examples |
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| 21 |
Canonical Ensemble, Boltzmann probability, Partition function |
Problem set 6 due |
| 22 |
Monoatomic ideal gas calculation |
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| 23 |
Two level system |
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| 24 |
Equipartition, Polyatomic gas, Vibration & quantum harmonic oscillator |
Problem set 7 due |
| 25 |
Finish harmonic oscillator, Molecular rotations |
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| 26 |
Finish rotations, Maxwell distribution |
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| 27 |
Paramagnetism |
Problem set 8 due |
| 28 |
Adiabatic demagnetism, 3rd Law of Thermodynamics, Thermal radiation |
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| Exam 2 |
| 29 |
Blackbody thermodynamics, Stephan-Boltzmann Law, Counting Modes |
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| 30 |
Classical and quantum blackbody u (ω,T) |
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| 31 |
Chemical potential |
Problem set 9 due |
| 32 |
Indistinguishable particles, Symmetric vs. antisymmetric |
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| 33 |
Occupation number, Fermi gas |
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| 34 |
Fermi gas II |
Problem set 10 due |
| 35 |
Neutron star |
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| 36 |
Bose-Einstein Condensation |
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| 37 |
Finish Bose-Einstein Condensation, Summary |
Problem set 11 due |
| Final Exam |