Transfer matrices for piecewise constant potentials
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2006
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| _version_ | 1876427576762695680 |
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| author | G. F. Torres del Castillo |
| author_facet | G. F. Torres del Castillo |
| contents | Transfer matrices for piecewise constant potentials G. F. Torres del Castillo I. Rubalcava García Física, Astronomía y Matemáticas Scattering transfer matrix layered systems quasinormal modes By expressing the time-independent Schrödinger equation in one dimension as a system of two first-order differential equations, the transfer matrix for a rectangular potential barrier is obtained making use of the matrix exponential. It is shown that the transfer matrix allows one to find the bound states and the quasinormal modes. A similar treatment for the one-dimensional propagation of electromagnetic waves in a homogeneous medium is also presented. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065610 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.52 |
| format | Artículo científico |
| id | redalyc_57065610 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Transfer matrices for piecewise constant potentials G. F. Torres del Castillo Física, Astronomía y Matemáticas Scattering transfer matrix layered systems quasinormal modes Transfer matrices for piecewise constant potentials G. F. Torres del Castillo I. Rubalcava García Física, Astronomía y Matemáticas Scattering transfer matrix layered systems quasinormal modes By expressing the time-independent Schrödinger equation in one dimension as a system of two first-order differential equations, the transfer matrix for a rectangular potential barrier is obtained making use of the matrix exponential. It is shown that the transfer matrix allows one to find the bound states and the quasinormal modes. A similar treatment for the one-dimensional propagation of electromagnetic waves in a homogeneous medium is also presented. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065610 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.52 |
| title | Transfer matrices for piecewise constant potentials |
| topic | Física, Astronomía y Matemáticas Scattering transfer matrix layered systems quasinormal modes |
| url | https://www.redalyc.org/articulo.oa?id=57065610 |