Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Focusing on the derivation of sharp spectral asymptotics, this comprehensive five-volume monograph employs semiclassical microlocal analysis techniques, particularly the propagation of singularities. It explores variational estimates in small domains, extending the analysis to domains with various singularities. The developed general theory is applied to the Magnetic Schrödinger operator and addresses diverse problems in multiparticle quantum theory, showcasing the intersection of advanced mathematics and physics.