Connexions and Effective S-matrix in Triangle Representation for Quantum Scattering
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/721950
- author
- Kuperin, Yuri ; Kurasov, Pavel LU ; Melnikov, Yuri and Merkuriev, Stanislav
- organization
- publishing date
- 1991
- 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
- 2016-04-01 11:42:33
- date last changed
- 2021-01-03 10:10:28
@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}}, doi = {{10.1016/0003-4916(91)90019-5}}, volume = {{205}}, year = {{1991}}, }