1. |
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Course Introduction |
Course Introduction |
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2. |
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General Theory of Thermodynamic Ensembles |
General Theory of Thermodynamic Ensembles |
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Grand Canonical Ensemble for Non-Interacting Systems |
Grand Canonical Ensemble for Non-Interacting Systems |
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3. |
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Fermi-Dirac, Bose-Einstein, Maxwell-Boltzmann, and Planck Distributions |
Fermi-Dirac, Bose-Einstein, Maxwell-Boltzmann, and Planck Distributions |
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Blackbody Radiation and the Stefan-Boltzmann Law |
Blackbody Radiation and the Stefan-Boltzmann Law |
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4. |
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Review of Worksheet 1 / Bose-Einstein Condensation |
Review of Worksheet 1 / Bose-Einstein Condensation |
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Experimental Realization of Bose-Einstein Condensation |
Experimental Realization of Bose-Einstein Condensation |
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5. |
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Degenerate Fermi Gases / White dwarf stars |
Degenerate Fermi Gases / White dwarf stars |
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Nearly Degenerate Fermi Gases: Heat Capacity |
Nearly Degenerate Fermi Gases: Heat Capacity |
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6. |
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Electron Band Structure: Conductors, Insulators and Semiconductors |
Electron Band Structure: Conductors, Insulators and Semiconductors |
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Doped Semiconductors and p-n Junctions |
Doped Semiconductors and p-n Junctions |
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7. |
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Review of Worksheet 2 |
Review of Worksheet 2 |
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Low Temperature Behaviour of Interacting Systems: Normal Modes |
Low Temperature Behaviour of Interacting Systems: Normal Modes |
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8. |
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Normal Modes of Vibration in an Atomic Lattice |
Normal Modes of Vibration in an Atomic Lattice |
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The Debye Model / The Heisenberg Exchange Interaction |
The Debye Model / The Heisenberg Exchange Interaction |
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9. |
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Low Temperature Behaviour of Heisenberg Model: Magnons |
Low Temperature Behaviour of Heisenberg Model: Magnons |
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10. |
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Mean-Field Theory of Interacting Gases (Van-der-Waals equation) |
Mean-Field Theory of Interacting Gases (Van-der-Waals equation) |
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Critical Exponents of Liquid-Gas Critical Point in Mean-Field Approximation |
Critical Exponents of Liquid-Gas Critical Point in Mean-Field Approximation |
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11. |
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Mean-Field Theory of the Ising Model |
Mean-Field Theory of the Ising Model |
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General Aspects of the Theory of Phase Transitions |
General Aspects of the Theory of Phase Transitions |
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12. |
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Review of Worksheet 3 |
Review of Worksheet 3 |
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13. |
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Introduction to the Renormalization Group Approach to Phase Transitions |
Introduction to the Renormalization Group Approach to Phase Transitions |
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14. |
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Ising Model Real-Space Renormalization Group |
Ising Model Real-Space Renormalization Group |
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Review of Worksheet 4 |
Review of Worksheet 4 |
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