Analiticity in fourth-order wave equations
- Autores
- Bollini, Carlos Guido; Giambiagi, Juan José
- Año de publicación
- 1987
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Facultad de Ciencias Exactas - Materia
-
Física
Field theory - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/144989
Ver los metadatos del registro completo
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Analiticity in fourth-order wave equationsBollini, Carlos GuidoGiambiagi, Juan JoséFísicaField theoryIn 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.Facultad de Ciencias Exactas1987info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf151-168http://sedici.unlp.edu.ar/handle/10915/144989enginfo:eu-repo/semantics/altIdentifier/issn/0369-3546info:eu-repo/semantics/altIdentifier/issn/1826-9869info:eu-repo/semantics/altIdentifier/doi/10.1007/bf02902771info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:13:30Zoai:sedici.unlp.edu.ar:10915/144989Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:13:31.114SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Analiticity in fourth-order wave equations |
| title |
Analiticity in fourth-order wave equations |
| spellingShingle |
Analiticity in fourth-order wave equations Bollini, Carlos Guido Física Field theory |
| 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 |
| dc.creator.none.fl_str_mv |
Bollini, Carlos Guido Giambiagi, Juan José |
| author |
Bollini, Carlos Guido |
| author_facet |
Bollini, Carlos Guido Giambiagi, Juan José |
| author_role |
author |
| author2 |
Giambiagi, Juan José |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Física Field theory |
| topic |
Física Field theory |
| dc.description.none.fl_txt_mv |
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. Facultad de Ciencias Exactas |
| 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. |
| publishDate |
1987 |
| dc.date.none.fl_str_mv |
1987 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/144989 |
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http://sedici.unlp.edu.ar/handle/10915/144989 |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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