Schrödinger operators, with applications to quantum mechanics and global geometry /

A complete understanding of Schrdinger 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 student...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Cycon, H. L. (Hans Ludwig), 1942-, Simon, Barry, 1946-, Beiglböck, E., 1939-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1987]
Series:Texts and monographs in physics.
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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245 0 0 |a Schrödinger operators, with applications to quantum mechanics and global geometry /  |c H.L. Cycon [and others] ; [editors, Wolf Beiglböck and others]. 
264 1 |a Berlin ;  |a New York :  |b Springer-Verlag,  |c [1987] 
264 4 |c ©1987 
300 |a 1 online resource (ix, 319 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Texts and monographs in physics 
500 |a Chapters 1-11 are revised notes taken from a summer course given in 1982 in Thurnau, West Germany by Barry Simon. 
500 |a "Springer study edition"--Page 2 of cover. 
504 |a Includes bibliographical references (pages 301-314) and index. 
588 |a Description based on print version record. 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
505 0 |a Self-Adjointness -- Lp-Properties of Eigenfunctions, and All That -- Geometric Methods for Bound States -- Local Commutator Estimates -- Phase Space Analysis of Scattering -- Magnetic Fields -- Electric Fields -- Complex Scaling -- Random Jacobi Matrices -- Almost Periodic Jacobi Matrices -- Wittens Proof of the Morse Inequalities -- Patodis Proof of the Gauss-Bonnet-Chern Theorem and Superproofs of Index Theorems. 
520 |a A complete understanding of Schrdinger 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 Schrdinger 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, Schrdinger operators with random and almost periodic potentials and, finally, Schrdinger operator methods in differential geometry to prove the Morse inequalities and the index theorem. 
500 |a Electronic resource. 
650 0 |a Schrödinger operator. 
650 0 |a Quantum theory. 
650 0 |a Global differential geometry. 
650 6 |a Schrödinger, Opérateur de. 
650 6 |a Théorie quantique. 
650 6 |a Géométrie différentielle globale. 
650 7 |a Global differential geometry.  |2 fast  |0 (OCoLC)fst00943477 
650 7 |a Quantum theory.  |2 fast  |0 (OCoLC)fst01085128 
650 7 |a Schrödinger operator.  |2 fast  |0 (OCoLC)fst01108122 
650 0 7 |a Geometrie.  |2 swd 
650 0 7 |a Globale Differentialgeometrie.  |2 swd 
650 0 7 |a Globale Riemannsche Geometrie.  |2 swd 
650 0 7 |a Hamilton-Operator.  |2 swd 
650 0 7 |a Quantenmechanik.  |2 swd 
650 0 7 |a Quantentheorie.  |2 swd 
655 7 |a Electronic books.  |2 local 
700 1 |a Cycon, H. L.  |q (Hans Ludwig),  |d 1942- 
700 1 |a Simon, Barry,  |d 1946- 
700 1 |a Beiglböck, E.,  |d 1939- 
710 2 |a SpringerLink (Online service) 
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