Format:
1 Online-Ressource (IX, 319 pp. 2 figs)
Edition:
2
ISBN:
9783540775225
,
9783540167587
Series Statement:
Theoretical,Mathematical Physics
Note:
A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it also helps to deepen our insight into global differential geometry. This monograph written for both graduate students and researchers summarizes and synthesizes the theory of Schrödinger operators emphasizing the progress made in the last decade by Lieb, Enss, Witten and others. Besides general properties, the book covers, in particular, multiparticle quantum mechanics including bound states of Coulomb systems and scattering theory, quantum mechanics in constant electric and magnetic fields, Schrödinger operators with random and almost periodic potentials and, finally, Schrödinger operator methods in differential geometry to prove the Morse inequalities and the index theorem
Additional Edition:
Erscheint auch als Online-Ausgabe ISBN 978-3-03719-669-4
Language:
English
Subjects:
Physics
,
Mathematics
Keywords:
Hamilton-Operator
;
Globale Differentialgeometrie
;
Hamilton-Operator
;
Quantenmechanik
;
Hamilton-Operator
;
Geometrie
;
Hamilton-Operator
;
Quantentheorie
;
Hamilton-Operator
;
Globale Riemannsche Geometrie
;
Spektraltheorie
;
Hamilton-Operator
;
Magnetfeld
;
Spektraltheorie
;
Schrödinger-Gleichung
DOI:
10.1007/978-3-540-77522-5
Author information:
Kirsch, Werner 1956-
Author information:
Simon, Barry 1946-
Author information:
Cycon, Hans L. 1942-
