Scattering on a line. I. Existence of wave operators and asymptotic completeness in the periodic case

Autor:	Ya. V. Kurylev
Rok vydání:	1995
Předmět:	Statistics and Probability Scattering Applied Mathematics General Mathematics Completeness (order theory) Mathematical analysis Line (geometry) Bibliography Periodic boundary conditions Boundary value problem D'Alembert operator Operator theory Mathematics
Zdroj:	Journal of Mathematical Sciences. 73:385-388
ISSN:	1573-8795 1072-3374
DOI:	10.1007/bf02362825
Popis:	Existence of wave operators for scattering on a line in R3 is proved. It is shown that the completeness of have operators is violated in the case of a line with periodic boundary conditions. However, the asymptotic completeness and unitary property of wave operators are preserved. Bibliography:11 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4c9d06c1ff775378d92aee4084b39b90 https://doi.org/10.1007/bf02362825 Zobrazit plný text záznamu Full text from SpringerLink