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＜電子ブック＞
Quasiclassical Methods / edited by Jeffrey Rauch, Barry Simon
(The IMA Volumes in Mathematics and its Applications. ISSN:21983224 ; 95)

版	1st ed. 1997.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1997
本文言語	英語
大きさ	IX, 230 p : online resource
著者標目	Rauch, Jeffrey editor Simon, Barry editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	Tutorial Overviews -- h-pseudodifferential operators and applications: An introduction -- Semi-classical methods with emphasis on coherent states -- Workshop Research Papers -- Approximative theories for large Coulomb systems -- Semiclassical analysis for the Schrödinger operator with magnetic wells (after R. Montgomery, B. Helffer-A. Mohamed) -- On the asymptotic distribution of eigenvalues in gaps -- Asymptotics of the ground state energy of heavy molecules in the strong magnetic field -- Local trace formulæ -- A proof of the strong Scott conjecture -- Lieb-Thirring inequalities for the Pauli operator in three dimensions -- Exact anharmonic quantization condition (in one dimension) The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with h-pseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb- Thirring inequalities for the Pauli operator, and local trace formulae HTTP:URL=https://doi.org/10.1007/978-1-4612-1940-8

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