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#quantumstatisticalmechanics #quantummechanicslectures #griffithslectures 00:00 - Introduction to the total number of choices 00:10 - Explanation of multiplying choices for the total number of ways 00:30 - Discussion on pairs of particles and configurations 00:52 - Examples of pairs like "one, two" and "two, one" 01:14 - Explanation of dividing by factorials for identical pairs 01:50 - Example with n1 = 3 particles 02:17 - Further explanation with three particles and factorial calculations 02:39 - Breakdown of the number of ways for three particles 03:14 - Six ways for three particles with factorial of 3 03:36 - Calculating number of ways for excluding identical configurations 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