TY  - GEN
AB  - 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.
AU  - Ivrii, Victor,
CN  - QA299.6
DO  - 10.1007/978-3-030-30561-1
DO  - 10.1007/978-3-030-30
DO  - doi
ID  - 914773
KW  - Microlocal analysis.
KW  - Spectral theory (Mathematics)
KW  - Asymptotic expansions.
KW  - Quantum theory.
LK  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-30561-1
N2  - 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.
SN  - 9783030305611
SN  - 3030305619
T1  - Microlocal analysis, sharp spectral asymptotics and applications.
TI  - Microlocal analysis, sharp spectral asymptotics and applications.
UR  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-30561-1
ER  -