On Huygens principle for Dirac operators associated to electromagnetic fields
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| Natura: | Artículo científico |
| Lingua: | en |
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Academia Brasileira de Ciências
2001
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| _version_ | 1876436066144092160 |
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| author | Fabio A.C.C. Chalub |
| author_facet | Fabio A.C.C. Chalub |
| contents | On Huygens principle for Dirac operators associated to electromagnetic fields Fabio A.C.C. Chalub Multidisciplinaria (Ciencias Naturales y Exactas) Dirac operators Huygens´ principle Hadamard´s problem electromagnetic fields We study the behavior of massless Dirac particles, i.e., solutions of the Dirac equation with m = 0in the presence of an electromagnetic field. Our main result (Theorem 1) is that for purely realor imaginary fields any Huygens type (in Hadamard´s sense) Dirac operators is equivalent to thefree Dirac operator, equivalence given by changes of variables and multiplication (right and left)by nonzero functions. 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773402 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.73 |
| format | Artículo científico |
| id | redalyc_32773402 |
| institution | Redalyc |
| language | en |
| publishDate | 2001 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | On Huygens principle for Dirac operators associated to electromagnetic fields Fabio A.C.C. Chalub Multidisciplinaria (Ciencias Naturales y Exactas) Dirac operators Huygens´ principle Hadamard´s problem electromagnetic fields On Huygens principle for Dirac operators associated to electromagnetic fields Fabio A.C.C. Chalub Multidisciplinaria (Ciencias Naturales y Exactas) Dirac operators Huygens´ principle Hadamard´s problem electromagnetic fields We study the behavior of massless Dirac particles, i.e., solutions of the Dirac equation with m = 0in the presence of an electromagnetic field. Our main result (Theorem 1) is that for purely realor imaginary fields any Huygens type (in Hadamard´s sense) Dirac operators is equivalent to thefree Dirac operator, equivalence given by changes of variables and multiplication (right and left)by nonzero functions. 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773402 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.73 |
| title | On Huygens principle for Dirac operators associated to electromagnetic fields |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Dirac operators Huygens´ principle Hadamard´s problem electromagnetic fields |
| url | https://www.redalyc.org/articulo.oa?id=32773402 |