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Quantum Mechanics Course for the Physics Degree (3rd year) at Paris Diderot University. Session No. 1, recorded on January 15, 2018 By Étienne Parizot Summary: • General introduction • Concept of state of a physical system: Classical case and quantum case Evolution of a system • Concept of “space of states”: Principle of combination Structure of the space of states: vector space Body of scalars: complex numbers • Notation of state vectors: “kets” • WARNING: essential warning about linear combinations of states