--- title: "Higher-Derivative Wave Equations in (1+1)D: Exact Solutions with External Sources • CBPF Index" description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbafcc" locale: es meta: "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~SGlnaGVyLURlcml2YXRpdmUgV2F2ZSBFcXVhdGlvbnMgaW4gKDErMSlEOiBFeGFjdCBTb2x1dGlvbnMgd2l0aCBFeHRlcm5hbCBTb3VyY2Vz%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~TC4gRy4gRmVycmVpcmEgRmlsaG87IEpvc8OpIEFiZGFsbGEgSGVsYXllbCBOZXRvOyBBbGV4YW5kZXIgV2lsbGlhbSBTbWl0aA%2Cdetalhe_2004%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmY2Mi%2Cs_oZab77CPeAsD4nMx.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Higher-Derivative Wave Equations in (1+1)D: Exact Solutions with External Sources • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~SGlnaGVyLURlcml2YXRpdmUgV2F2ZSBFcXVhdGlvbnMgaW4gKDErMSlEOiBFeGFjdCBTb2x1dGlvbnMgd2l0aCBFeHRlcm5hbCBTb3VyY2Vz%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~TC4gRy4gRmVycmVpcmEgRmlsaG87IEpvc8OpIEFiZGFsbGEgSGVsYXllbCBOZXRvOyBBbGV4YW5kZXIgV2lsbGlhbSBTbWl0aA%2Cdetalhe_2004%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmY2Mi%2Cs_oZab77CPeAsD4nMx.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **Higher-Derivative Wave Equations in (1+1)D: Exact Solutions with External Sources** **L. G. Ferreira Filho; José Abdalla Helayel Neto; Alexander William Smith** 2004 [**Descargar PDF **0,6 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbafcc/pdf) [**Contactar al responsable**]() ## **Datos de la publicación**
Autores
L. G. Ferreira Filho; José Abdalla Helayel Neto; Alexander William Smith
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
2004
Descripción
Two space-time dimensions exhibit the relevant property of Lorentz-invariant left-right-mover factorisation. This special result is crucial for the attainment of exact analytic solutions to higher-derivative wave equations such as $\square ^m\Phi =0$ and $i\gamma ^\mu \partial _\mu \square ^n\Psi =0$, with $m\geq 2$ and $n\geq 1$ and $\Phi $ and $\Psi $ being scalar and fermionic functions, respectively. The exact (classical) field solutions can be worked out for an arbitrary set of initial conditions that specify the funtions and their required time derivatives at t=0. In this work, we take into account external sources and the method previously developped is extended to include the effect of the sources. The whole idea underneath the approach consists in suitably shifting the source contributions to the initial value problem of the corresponding sourceless problem. To ilustrate the general procedure, we present explicit solutions to the equation $\square ^2 \Phi =J(t;x)$ , where the source $J$ is left arbitrary. We discuss the possibility that the external source be so chosen that it suppresses the unphysical modes present in $\Phi$ by virtue of the higher space and time derivatives that control the dynamics.
Año
2004
Número
CBPF-NF-010/04
Vínculo con tesis
No
Vínculo con beca
No
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