'Semiclassical Analysis' provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel-Kramers-Brillouin approximation.
Learning objective
Literature
Semiclassical Analysis. Maciej Zworski.
Spectral Asymptotics in the semi-classical limit. M. Dimassi, J. Sjöstrand.