Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Focusing on semiclassical microlocal analysis, this five-volume monograph derives sharp spectral asymptotics for various partial differential operators. It emphasizes the propagation of singularities and employs variational estimates in small domains to explore domains with different singularities. The developed methods and results are applied to the Magnetic Schrödinger operator and various problems in multiparticle quantum theory, showcasing a rigorous approach to complex mathematical concepts in spectral theory.