Microlocal Analysis, Sharp Spectral Asymptotics and Applications I Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics /

• Main Author: Ivrii, Victor (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Mathematical physics.; Analysis.; Mathematical Physics.
• Physical Description: XLIX, 889 p. 1 illus. online resource.
• ISBN: 9783030305574
• DOI: 10.1007/978-3-030-30557-4

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in "small" domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.