# Statistical Physics of Non-Interacting and Interacting Systems

- Institution: IIT Guwahati
- Department: Physics
- Teacher: Prof. Saurabh Basu
- Level: Undergraduate
- Language: English
- Subjects: Physics
- Source: [NPTEL](https://nptel.ac.in/courses/115103538)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/115103538)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

The course introduces the reason to study statistical mechanics when thermodynamics yields an equilibrium description of the systems. The basic concepts of the subject are explained from a formal viewpoint that deals with the concept of ensembles and ergodic hypothesis. Quantum statistical mechanics appears as an upgradation of the classical ideas that incorporates the indistinguishability of the particles, and thus is applicable to the ‘microscopic world’ of bosons and fermions. Several examples are discussed in this context, such as Bose-Einstein condensation, magnetism of fermionic systems. Besides, there are special topics, such as, Chandrasekhar limit, thermodynamics of black holes etc Further, as interacting systems are ubiquitous in nature, and hence require an introduction to the masters and the PhD students. Different examples of interacting systems are discussed through Ising model, Heisenberg model etc and specialized techniques such as Bethe ansatz are discussed.

Intended audience: Senior undergraduate, Masters’ students, PhD students, researchers of condensed matter physics, teachers in colleges and universities.

Prerequisites: Preferably Quantum Mechanics and Classical Mechanics at the introductory level

## Lectures

1. [Lec 1: Review of Thermodynamics](https://invisiblenetwork.ai/learn/nptel/115103538/7d665044c84d) (YouTube)
2. [Lec 2: Laws of Thermodynamics, Entropy](https://invisiblenetwork.ai/learn/nptel/115103538/8a039d429ded) (YouTube)
3. [Lec 3: Maxwell's relations, velocity distribution](https://invisiblenetwork.ai/learn/nptel/115103538/5e154cd391f4) (YouTube)
4. [Lec 4: Thermodynamic Potentials](https://invisiblenetwork.ai/learn/nptel/115103538/6b81985446e7) (YouTube)
5. [Lec 5: Binomial expansion, Random Walk](https://invisiblenetwork.ai/learn/nptel/115103538/1079434754fc) (YouTube)
6. [Lec 6: Ensemble Theory, Micro and Macrostates and Liouvilles's Theorem](https://invisiblenetwork.ai/learn/nptel/115103538/39798b40ee4c) (YouTube)
7. [Lec 7: Ergodic Hypothesis, Phase Space](https://invisiblenetwork.ai/learn/nptel/115103538/4b7640351951) (YouTube)
8. [Lec 8: Microcanonical Ensemble and Its Applications](https://invisiblenetwork.ai/learn/nptel/115103538/c43715640148) (YouTube)
9. [Lec 9: Canonical Ensemble, Parition Function, Central Limit Theorem](https://invisiblenetwork.ai/learn/nptel/115103538/38137aea5d77) (YouTube)
10. [Lec 10: Applications of Canonical Ensemble](https://invisiblenetwork.ai/learn/nptel/115103538/03fff19f5022) (YouTube)
11. [Lec 11: Bounded System, Negative Temparature, Specific Heat of Solids](https://invisiblenetwork.ai/learn/nptel/115103538/6dfa60c3cf95) (YouTube)
12. [Lec 12: Virial Theorem, Grand Canonical Distribution](https://invisiblenetwork.ai/learn/nptel/115103538/d517eee8e79f) (YouTube)
13. [Lec 13: Grand Canonical Distribution, Photon Gas](https://invisiblenetwork.ai/learn/nptel/115103538/5b2ae64614ed) (YouTube)
14. [Lec 14: Canonical Ensemble, Parition Function, Central Limit Theorem](https://invisiblenetwork.ai/learn/nptel/115103538/316247a17651) (YouTube)
15. [Lec 15: Applications of Canonical Ensemble](https://invisiblenetwork.ai/learn/nptel/115103538/4784c29b4aa3) (YouTube)
16. [Lec 16: Bounded System, Negative Temparature, Specific Heat of Solids](https://invisiblenetwork.ai/learn/nptel/115103538/3046a692115b) (YouTube)
17. [Lec 17: Virial Theorem, Grand Canonical Distribution](https://invisiblenetwork.ai/learn/nptel/115103538/5af4b316ff4c) (YouTube)
18. [Lec 18: Grand Canonical Distribution, Photon Gas](https://invisiblenetwork.ai/learn/nptel/115103538/5570b3a0e43b) (YouTube)
19. [Lec 19: Quantum Statistical Mechanics, Indistinguishability of Particles, Ensembles](https://invisiblenetwork.ai/learn/nptel/115103538/2993204a55e6) (YouTube)
20. [Lec 20: Density Matrix, Exchange Statistics, Bosons and Fermions](https://invisiblenetwork.ai/learn/nptel/115103538/e22b5ca029f7) (YouTube)
21. [Lec 21: MB, BE, FD Statistics](https://invisiblenetwork.ai/learn/nptel/115103538/0d6fa822fe65) (YouTube)
22. [Lec 22: Bose Statistics, Bose Einstein Condensation](https://invisiblenetwork.ai/learn/nptel/115103538/e56456ea052f) (YouTube)
23. [Lec 23: Properties of BEC, Phase Transition](https://invisiblenetwork.ai/learn/nptel/115103538/5807b4c36e8d) (YouTube)
24. [Lec 24: Experimental Aspects of BEC, Black Body Radiation, Phonons](https://invisiblenetwork.ai/learn/nptel/115103538/11815be1dff8) (YouTube)
25. [Lec 25: FD Statistics, Properties of Fermi Systems](https://invisiblenetwork.ai/learn/nptel/115103538/6c239e0ff43a) (YouTube)
26. [Lec 26: Bethe Ansatz](https://invisiblenetwork.ai/learn/nptel/115103538/b46685decf81) (YouTube)
27. [Lec 27: Cluster expansion, Critical Isotherms](https://invisiblenetwork.ai/learn/nptel/115103538/16e18497b1b9) (YouTube)
28. [Lec 28: Virial Coefficients, Equation of State for real gases](https://invisiblenetwork.ai/learn/nptel/115103538/7f29b0059ef0) (YouTube)
29. [Lec 29: de Haas-van Alphen effect](https://invisiblenetwork.ai/learn/nptel/115103538/89d7054f1fd1) (YouTube)
30. [Lec 30: Black Hole Thermodynamics](https://invisiblenetwork.ai/learn/nptel/115103538/1e3073918329) (YouTube)