Items related to Lectures on the Mathematics of Quantum Mechanics II:...
Synopsis
Wigner functions Husimi distribution Semiclassical.- Pseudodiffential operators Calderon-Vaillantcourt.- Compact, Shatten-class Carleman operators.- Periodic potentials Theory of Bloch-Floquet-Zak.- Connection with the properties of a crystal.- Lie-Trotter-Kato formula Wiener process.- Elements of probability theory Sigma algebras.- Ornstein-Uhlenbeck process.- Modular Operator Tomita-Takesaki theory.- Scattering theory Time-dependent formalism.- Time independent formalisms Flux-across surfaces.- The method of Enss Propagation estimates.- The N-body Quantum System.- Positivity preserving maps.- Hypercontractivity. Logarithmic Sobolev inequalities.- Measure (gage) spaces. Clifford algebra, C.A.R. relations.
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