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This video discusses key concepts in statistical mechanics, including Sterling's formula (0:36), its application to systems like classical ideal gas (1:47), and spin systems in a magnetic field (18:16). It also covers how to calculate thermodynamic quantities (4:25) like entropy and magnetization, and provides a detailed derivation of the canonical ensemble (42:16) and the probability distribution for energy states. 🌟 Welcome to Swayam Prabha 🌟 Subject: Physics Course Name: Statistical Physics of Non-Interacting and Interacting Systems Name of Presenter: Prof. Saurabh Basu Affiliation / Institute: IISER Mohali 📚 About Swayam Prabha Swayam Prabha is a flagship educational initiative of the Government of India, providing free, high-quality educational content through DTH television and online platforms. 📡 Programme & Delivery Swayam Prabha operates 40+ free-to-air DTH educational channels, broadcasting academic content 24×7 via the GSAT-15 satellite. New content is telecast daily and repeated multiple times for learner convenience. 🎓 Content Providers IITs, UGC, CEC, IGNOU, NPTEL, NCERT, and other national educational institutions. 🖥️ INFLIBNET Centre The INFLIBNET Centre maintains the Swayam Prabha web portal and supports content discovery, scheduling, and access to educational resources. 📺 Broadcast Infrastructure All channels are uplinked from BISAG-N, Gandhinagar, ensuring reliable nationwide transmission. 🌐 Official Website https://swayamprabha.gov.in/ 📌 This video is part of the Swayam Prabha initiative and is intended for academic and educational purposes only. #StatisticalPhysics #CanonicalEnsemble #MicrocanonicalEnsemble #Thermodynamics #QuantumMechanics