Energy dependent boundary conditions and fewbody scattering problem
(1997) In Reviews in Mathematical Physics 9(7). p.853906 Abstract
 An exactly solvable problem with energy dependent interaction is investigated in the present paper. The selfadjoint model operator describes the scattering problem for three onedimensional particles. It is shown that this problem is equivalent to the diffraction problem in the sector with energy dependent boundary conditions. The problem is solved with the help of the SommerfeldMaluzhinetz representation, which transforms the partial differential equation for the eigenfunctions to a functional equation on the integral densities. The solution of the functional equation can be constructed explicitly in the case of identical particles. The threebody scattering matrix describing rearrangement and excitation processes is represented in terms... (More)
 An exactly solvable problem with energy dependent interaction is investigated in the present paper. The selfadjoint model operator describes the scattering problem for three onedimensional particles. It is shown that this problem is equivalent to the diffraction problem in the sector with energy dependent boundary conditions. The problem is solved with the help of the SommerfeldMaluzhinetz representation, which transforms the partial differential equation for the eigenfunctions to a functional equation on the integral densities. The solution of the functional equation can be constructed explicitly in the case of identical particles. The threebody scattering matrix describing rearrangement and excitation processes is represented in terms of analytic functions. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/758076
 author
 Kurasov, Pavel ^{LU}
 organization
 publishing date
 1997
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 INVERSE SCATTERING, INTERNAL STRUCTURE, OPERATORS, HAMILTONIANS, LINE
 in
 Reviews in Mathematical Physics
 volume
 9
 issue
 7
 pages
 853  906
 publisher
 World Scientific Publishing
 external identifiers

 scopus:0031285799
 ISSN
 0129055X
 DOI
 10.1142/S0129055X97000300
 language
 English
 LU publication?
 yes
 id
 03f798db33084734a174aa86b8f81f56 (old id 758076)
 alternative location
 http://s0129055x97000300.pdf/
 date added to LUP
 20160401 16:31:45
 date last changed
 20210106 01:16:00
@article{03f798db33084734a174aa86b8f81f56, abstract = {An exactly solvable problem with energy dependent interaction is investigated in the present paper. The selfadjoint model operator describes the scattering problem for three onedimensional particles. It is shown that this problem is equivalent to the diffraction problem in the sector with energy dependent boundary conditions. The problem is solved with the help of the SommerfeldMaluzhinetz representation, which transforms the partial differential equation for the eigenfunctions to a functional equation on the integral densities. The solution of the functional equation can be constructed explicitly in the case of identical particles. The threebody scattering matrix describing rearrangement and excitation processes is represented in terms of analytic functions.}, author = {Kurasov, Pavel}, issn = {0129055X}, language = {eng}, number = {7}, pages = {853906}, publisher = {World Scientific Publishing}, series = {Reviews in Mathematical Physics}, title = {Energy dependent boundary conditions and fewbody scattering problem}, url = {http://dx.doi.org/10.1142/S0129055X97000300}, doi = {10.1142/S0129055X97000300}, volume = {9}, year = {1997}, }