Microlocal Analysis, Sharp Spectral Asymptotics and Applications V : Applications to Quantum Theory and Miscellaneous Problems / / by Victor Ivrii

• Autore: Ivrii Victor
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
• Edizione: 1st ed. 2019.
• Descrizione fisica: 1 online resource (XXIV, 739 p. 1 illus.)
• Disciplina: 515
• Soggetto topico: Mathematical analysis; Analysis (Mathematics); Mathematical physics; Analysis; Mathematical Physics
• Nota di contenuto: No magnetic field case -- The case of external magnetic field -- The case of self-generated magnetic field,- The case of combined magnetic field -- Articles on asymptotics -- 100 years of Weyl's law.
• Sommario/riassunto: 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 methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.
• Titolo autorizzato: Microlocal Analysis, Sharp Spectral Asymptotics and Applications V
• ISBN: 3-030-30561-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910349320303321
• Lo trovi qui: Univ. Federico II