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Title:
Fall Simons Lectures by Steve Zelditch of Northwestern University
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Abstract:
Quantum mechanics solved the problem of how a particle can move and be stationary at the same time. It did this by replacing geometry (classical mechanics) by linear algebra (eigenfunctions, eigenvalues and spectral theory). But intuition asks for a geometric picture of the time evolution of quantum states and the topography of eigenfunctions. As Planck's constant h approaches 0, quantum mechanical objects have asymptotic relations to classical mechanical objects and provide the best picture possible.
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