|
|
|
|
| LEADER |
00000nam a22000005i 4500 |
| 001 |
b3210047 |
| 003 |
MWH |
| 005 |
20191028231304.0 |
| 007 |
cr nn 008mamaa |
| 008 |
100730s1988 gw | s |||| 0|eng d |
| 020 |
|
|
|a 9783540459132
|
| 024 |
7 |
|
|a 10.1007/BFb0078115
|2 doi
|
| 035 |
|
|
|a (DE-He213)978-3-540-45913-2
|
| 050 |
|
4 |
|a E-Book
|
| 072 |
|
7 |
|a PHU
|2 bicssc
|
| 072 |
|
7 |
|a SCI040000
|2 bisacsh
|
| 072 |
|
7 |
|a PHU
|2 thema
|
| 100 |
1 |
|
|a Helffer, Bernard.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 245 |
1 |
0 |
|a Semi-Classical Analysis for the Schrödinger Operator and Applications
|h [electronic resource] /
|c by Bernard Helffer.
|
| 250 |
|
|
|a 1st ed. 1988.
|
| 264 |
|
1 |
|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1988.
|
| 300 |
|
|
|a V, 110 p.
|b online resource.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
|
|a Nankai Institute of Mathematics, Tianjin, P.R. China ;
|v 1336
|
| 490 |
1 |
|
|a Springer eBook Collection
|
| 505 |
0 |
|
|a Generalities on semi-classical analysis -- B.K.W. Construction for a potential near the bottom in the case of non-degenerate minima -- The decay of the eigenfunctions -- Study of interaction between the wells -- An introduction to recent results of Witten -- On Schrödinger operators with periodic electric potentials -- On Schrödinger operators with magnetic fields.
|
| 520 |
|
|
|a This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schrödinger operator with periodic potentials.
|
| 590 |
|
|
|a Loaded electronically.
|
| 590 |
|
|
|a Electronic access restricted to members of the Holy Cross Community.
|
| 650 |
|
0 |
|a Mathematical physics.
|
| 650 |
|
0 |
|a Quantum physics.
|
| 650 |
|
0 |
|a Mathematical analysis.
|
| 650 |
|
0 |
|a Analysis (Mathematics).
|
| 690 |
|
|
|a Electronic resources (E-books)
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer eBooks
|
| 830 |
|
0 |
|a Nankai Institute of Mathematics, Tianjin, P.R. China ;
|v 1336
|
| 830 |
|
0 |
|a Springer eBook Collection.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/BFb0078115
|3 Click to view e-book
|t 0
|
| 907 |
|
|
|a .b32100474
|b 04-18-22
|c 02-26-20
|
| 998 |
|
|
|a he
|b 02-26-20
|c m
|d @
|e -
|f eng
|g gw
|h 0
|i 1
|
| 912 |
|
|
|a ZDB-2-PHA
|
| 912 |
|
|
|a ZDB-2-LNM
|
| 912 |
|
|
|a ZDB-2-BAE
|
| 950 |
|
|
|a Physics and Astronomy (Springer-11651)
|
| 902 |
|
|
|a springer purchased ebooks
|
| 903 |
|
|
|a SEB-COLL
|
| 945 |
|
|
|f - -
|g 1
|h 0
|j - -
|k - -
|l he
|o -
|p $0.00
|q -
|r -
|s b
|t 38
|u 0
|v 0
|w 0
|x 0
|y .i2123212x
|z 02-26-20
|
| 999 |
f |
f |
|i 14fe78fc-6903-5708-a2ce-d16827efdb1d
|s 55f1dde4-41df-5bdc-8a54-d2bd1f59718b
|t 0
|
| 952 |
f |
f |
|p Online
|a College of the Holy Cross
|b Main Campus
|c E-Resources
|d Online
|t 0
|e E-Book
|h Library of Congress classification
|i Elec File
|