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Explore a 55-minute lecture on the geometric approach to quantum mechanics delivered at the Erwin Schrödinger International Institute for Mathematics and Physics as part of their Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications." Delve into the concept of the Tulczyjew triple from classical mechanics and its application to infinite-dimensional quantum systems. Learn about Lagrangian formalism where self-adjoint operators are interpreted as Lagrangian submanifolds associated with the Lagrangian. Discover important findings related to coadjoint orbits of the unitary group in infinite dimensions, local embeddings of pure state spaces in the unitary group, and the theory of self-adjoint extensions of symmetric relations.
