Quantum Mechanics I

This lecture covers the analysis of composite systems in quantum mechanics, focusing on systems with two or more components. Topics include tensor product spaces, linear combinations, operators acting on composite spaces, the concept of measurements, entanglement, Bell's inequalities, and the implications of quantum entanglement on non-locality and communication. The lecture also discusses the concept of separability, the Einstein-Podolsky-Rosen paradox, and the experimental verification of quantum entanglement. The instructor explains the Bell inequalities and the limitations of hidden variable theories through a thought experiment involving black and white boxes. The lecture concludes with a brief overview of Bell's theorem and its experimental confirmation.