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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture introduces the postulates of Quantum Mechanics, focusing on the Copenhagen interpretation. It covers the state of isolated systems, evolution in time, and observables characterized by hermitian operators. The path integral formulation is discussed, emphasizing its equivalence to traditional approaches and its advantages. The famous double-slit experiment is explained, highlighting the wave-particle duality of electrons and the concept of interference. The transition from the Schrödinger approach to the path integral is explored, showcasing the mathematical framework behind quantum phenomena. Various scenarios involving multiple screens and slits are imagined to illustrate quantum behavior. The lecture concludes with a detailed analysis of the path integral formulation's significance in understanding non-perturbative phenomena and its connection to statistical mechanics.