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Connexions and Effective S-matrix in Triangle Representation for Quantum Scattering

Kuperin, Yuri; Kurasov, Pavel LU ; Melnikov, Yuri and Merkuriev, Stanislav (1991) In Annals of Physics 205(2). p.330-361
Abstract
For quantum few-body systems, a method of spectral representation generated by specially extracted sub-Hamiltonians is developed. In this approach, the connections between the geometry of a base manifold, the spectral structure of sub-Hamiltonians, and the geometric characteristics of induced Hilbert bundles are investigated. The appropriate relations between connections on these Hilbert bundles and global invariants of S-matrix are obtained. Some applications of the proposed approach to exactly solvable two- and three-body scattering problems are considered.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Annals of Physics
volume
205
issue
2
pages
330 - 361
publisher
Elsevier
external identifiers
  • scopus:0038959043
ISSN
0003-4916
DOI
10.1016/0003-4916(91)90019-5
language
English
LU publication?
yes
id
66dcfe4c-bbd5-40e1-962f-59f12aed09fb (old id 721950)
alternative location
http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WB1-4DF564C-2GT-2&_cdi=6697&_user=745831&_orig=search&_coverDate=02%2F01%2F1991&_sk=997949997&view=c&wchp=dGLbVlb-zSkWA&md5=8aec4c1767292aedec14ebf260f340a5&ie=/sdarticle.pdf
date added to LUP
2008-04-28 11:23:24
date last changed
2017-01-01 04:27:54
@article{66dcfe4c-bbd5-40e1-962f-59f12aed09fb,
  abstract     = {For quantum few-body systems, a method of spectral representation generated by specially extracted sub-Hamiltonians is developed. In this approach, the connections between the geometry of a base manifold, the spectral structure of sub-Hamiltonians, and the geometric characteristics of induced Hilbert bundles are investigated. The appropriate relations between connections on these Hilbert bundles and global invariants of S-matrix are obtained. Some applications of the proposed approach to exactly solvable two- and three-body scattering problems are considered.},
  author       = {Kuperin, Yuri and Kurasov, Pavel and Melnikov, Yuri and Merkuriev, Stanislav},
  issn         = {0003-4916},
  language     = {eng},
  number       = {2},
  pages        = {330--361},
  publisher    = {Elsevier},
  series       = {Annals of Physics},
  title        = {Connexions and Effective S-matrix in Triangle Representation for Quantum Scattering},
  url          = {http://dx.doi.org/10.1016/0003-4916(91)90019-5},
  volume       = {205},
  year         = {1991},
}