Fall 2018 MATH 279 001 LEC

Topics in Partial Differential Equations
001 LECTuTh 12:30PM - 01:59PMEvans 31Semen Dyatlov25748
UnitsEnrollment Status
Additional Information: 

Prerequisites: Math 202A+B, or Math 222A, or consent of instructor. Can be taken concurrently with Math 222A.

Description: Semiclassical analysis is a mathematical theory underlying the classical/quantum, or particle/wave, correspondence. A key concept in semiclassical analysis is the notion of microlocalization, namely localization of functions in both position and frequency space. Another important component is propagation of singularities, which when applied to the wave equation explains why light travels along straight lines. In the recent years semiclassical analysis has found many new and exciting applications, among others to scattering theory, dynamical systems, quantum chaos, and general relativity. In this course we follow Maciej Zworski's book "Semiclassical Analysis", starting with the basic theory and ending with applications such as quantum ergodicity.

Office:  805 Evans Hall

Office Hours:   Tuesdays 2–3 and by appointment

Required Text: Maciej Zworski, "Semiclassical Analysis". The UCB Library call number is QC174.17.D54 Z96 2012 .

Grading: Letter grade based on homework.

Course Webpage: http://math.berkeley.edu/~dyatlov/279/