Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Focusing on spectral asymptotics, this comprehensive five-volume monograph utilizes semiclassical microlocal analysis to explore partial differential operators. It emphasizes the propagation of singularities and variational estimates in small domains, extending the findings to more complex domains with various singularities. The developed theories and methods are applied to the Magnetic Schrödinger operator and various challenges in multiparticle quantum theory, showcasing the depth and versatility of the research.