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math-ph2015★ 6 cited
Differential Equations of Mathematical Physics
Max Lein
These lecture notes for the course APM 351 at the University of Toronto are aimed at mathematicians and physicists alike. It is not meant as an introductory course to PDEs, but rat…
math-ph2015
Derivation of Ray Optics Equations in Photonic Crystals Via a Semiclassical Limit
Giuseppe De Nittis, Max Lein
In this work we present a novel approach to the ray optics limit: we rewrite the dynamical Maxwell equations in Schrödinger form and prove Egorov-type theorems, a robust semiclassi…