SPECTRAL-ANALYSIS OF SCHRODINGER-OPERATORS WITH MAGNETIC-FIELDS

Citation
H. Matsumoto et N. Ueki, SPECTRAL-ANALYSIS OF SCHRODINGER-OPERATORS WITH MAGNETIC-FIELDS, Journal of functional analysis, 140(1), 1996, pp. 218-255
Citations number
29
Categorie Soggetti
Mathematics, Pure",Mathematics
ISSN journal
00221236
Volume
140
Issue
1
Year of publication
1996
Pages
218 - 255
Database
ISI
SICI code
0022-1236(1996)140:1<218:SOSWM>2.0.ZU;2-F
Abstract
The spectra of quadratic Schrodinger operators in general dimensional Euclidean spaces are determined by considering the corresponding class ical mechanics and the corresponding Dirac operators. The results are applied to the study on the semiclassical approximation of the eigenva lues of Schrodinger operators with magnetic fields. (C) 1996 academic Press, Inc.