Analiticity in fourth-order wave equations
In this paper we present, through a familiar example (δ-function potential in one dimension), the analytic properties of Jost functions associated with fourth-order equations. It is shown how to construct the Jost functions and the two discontinuity matrices associated with the line of singularities...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
1987
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/144989 |
| Aporte de: |
| id |
I19-R120-10915-144989 |
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| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Física Field theory |
| spellingShingle |
Física Field theory Bollini, Carlos Guido Giambiagi, Juan José Analiticity in fourth-order wave equations |
| topic_facet |
Física Field theory |
| description |
In this paper we present, through a familiar example (δ-function potential in one dimension), the analytic properties of Jost functions associated with fourth-order equations. It is shown how to construct the Jost functions and the two discontinuity matrices associated with the line of singularities. The latter divide the complexk-plane in eight regions of analiticity. One of these matrices is related to the asymptotic behaviour of the scattering state. The other is not. Both are necessary to solve the inverse problem. Besides the usual poles related to bound states there are also other poles associated with total reflexion. |
| format |
Articulo Articulo |
| author |
Bollini, Carlos Guido Giambiagi, Juan José |
| author_facet |
Bollini, Carlos Guido Giambiagi, Juan José |
| author_sort |
Bollini, Carlos Guido |
| title |
Analiticity in fourth-order wave equations |
| title_short |
Analiticity in fourth-order wave equations |
| title_full |
Analiticity in fourth-order wave equations |
| title_fullStr |
Analiticity in fourth-order wave equations |
| title_full_unstemmed |
Analiticity in fourth-order wave equations |
| title_sort |
analiticity in fourth-order wave equations |
| publishDate |
1987 |
| url |
http://sedici.unlp.edu.ar/handle/10915/144989 |
| work_keys_str_mv |
AT bollinicarlosguido analiticityinfourthorderwaveequations AT giambiagijuanjose analiticityinfourthorderwaveequations |
| bdutipo_str |
Repositorios |
| _version_ |
1764820460014403586 |