Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

"Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary"--

Mathematical physics. --- Adiabatic invariants.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of Kӓhler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.

Microlocal analysis --- Algebraic functions --- Functions, Algebraic --- Functions --- Functional analysis --- Differential equations, partial. --- Fourier analysis. --- Geometry, algebraic. --- Partial Differential Equations. --- Fourier Analysis. --- Algebraic Geometry. --- Algebraic geometry --- Geometry --- Analysis, Fourier --- Mathematical analysis --- Partial differential equations --- Partial differential equations. --- Algebraic geometry. --- Differential equations, Partial. --- Geometry, Algebraic.