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Hi everyone,

Jonathon Riddell here. In this video we explore the case when our system can exchange both energy and particles with a reservoir. This leads us to the grand canonical ensemble. We use this ensemble to derive a famous result in statistical mechanics, the Fermi-Dirac distribution. This is a central result and is vital to our understanding of metals.

Recommended textbooks:
Quantum mechanics:
https://amzn.to/3Ar5dbn or https://amzn.to/3ckXkfL
Statistical mechanics:
https://amzn.to/3QYcere or https://amzn.to/3cmZb3u
Quantum information:
https://amzn.to/3Kpjt96 or https://amzn.to/3KpjAl2

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