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#quantumstatisticalmechanics #quantummechanicslectures #griffithslectures 00:00 - Introduction to quantum statistical mechanics 00:06 - Developing calculations for a general case 00:15 - Defining the question about particles in thermal equilibrium 00:28 - Raising temperature and populating higher energy levels 00:39 - Probability of selecting particles with a specific energy 01:06 - Moving to a general case of arbitrary potential 01:47 - Considering degeneracies in energy levels 02:12 - Defining degeneracy in quantum systems 03:00 - Example of hydrogen atom energy levels and degeneracy 04:02 - Explanation of degeneracy in energy levels Lecture Notes: https://drive.google.com/file/d/1jb3h... Dive deep into the fundamentals of quantum statistical mechanics in this comprehensive lecture. Explore key concepts such as particle energy distributions, distinguishable and indistinguishable particles, Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein statistics, and the role of degeneracy in energy states. This video includes practical examples like the 1D infinite square well problem and discusses critical ideas like the most probable configuration using Lagrange multipliers. Gain insights into temperature-dependent behavior, the Pauli exclusion principle, and energy distributions at thermal equilibrium. quantum statistical mechanics, Fermi-Dirac distribution, Bose-Einstein distribution, Maxwell-Boltzmann statistics, quantum mechanics lecture, 1D infinite square well, energy degeneracy, distinguishable particles, indistinguishable particles, Pauli exclusion principle, Lagrange multipliers, thermal equilibrium, quantum distributions, temperature effects in quantum systems, particle energy states, quantum mechanics tutorial