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This lecture delves into the Riemann Hypothesis, exploring the connection between prime numbers and the Riemann Zeta-function. It covers the Prime Number Theorem, Zeta -function, and the distribution of prime numbers. The instructor discusses the classical limit and the properties of the classical solution, providing insights into the Riemann Hypothesis. The lecture also touches on operator matrix elements and their physical interpretations, along with the classical limit of quantum mechanics. The content progresses to path integrals, quantum physics, and the upcoming special lecture on Quantum Mechanics by Sidney Coleman.