Two-dimensional delta potential wells and condensed-matter physics
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2005
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| _version_ | 1876440973130596352 |
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| author | M. A. Solís |
| author_facet | M. A. Solís |
| contents | Two-dimensional delta potential wells and condensed-matter physics M. A. Solís M. de Llano A. Salazar Física, Astronomía y Matemáticas condensed bound states regularization matter physics Delta potential wells It is well-known that a delta potential well in 1D has only one bound state but that in 3D it supports an infinite number of bound states withinfinite binding energy for the lowest level. We show how this also holds for the less familiar 2D case, and then discuss why this makes 3Ddelta potential wells unphysical as models of interparticle interactions for condensed-matter, many-body systems. However, both 2D and 3Ddelta wells can be regularized to support a single bound level which in turn renders them conveniently simple single-parameter interactions,e.g., for modeling the pair-forming dynamics of quasi-2D superconductors such as the cuprates, or in 3D of other superconductors and ofneutral-fermion superfluids such as ultra-cold trapped Fermi gases. 2005 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57064213 https://www.redalyc.org/journal/570/57064213/ https://www.redalyc.org/journal/570/57064213/html/ https://www.redalyc.org/journal/570/57064213/57064213.epub https://www.redalyc.org/journal/570/57064213/movil 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.6 Vol.51 |
| format | Artículo científico |
| id | redalyc_57064213 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Two-dimensional delta potential wells and condensed-matter physics M. A. Solís Física, Astronomía y Matemáticas condensed bound states regularization matter physics Delta potential wells Two-dimensional delta potential wells and condensed-matter physics M. A. Solís M. de Llano A. Salazar Física, Astronomía y Matemáticas condensed bound states regularization matter physics Delta potential wells It is well-known that a delta potential well in 1D has only one bound state but that in 3D it supports an infinite number of bound states withinfinite binding energy for the lowest level. We show how this also holds for the less familiar 2D case, and then discuss why this makes 3Ddelta potential wells unphysical as models of interparticle interactions for condensed-matter, many-body systems. However, both 2D and 3Ddelta wells can be regularized to support a single bound level which in turn renders them conveniently simple single-parameter interactions,e.g., for modeling the pair-forming dynamics of quasi-2D superconductors such as the cuprates, or in 3D of other superconductors and ofneutral-fermion superfluids such as ultra-cold trapped Fermi gases. 2005 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57064213 https://www.redalyc.org/journal/570/57064213/ https://www.redalyc.org/journal/570/57064213/html/ https://www.redalyc.org/journal/570/57064213/57064213.epub https://www.redalyc.org/journal/570/57064213/movil 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.6 Vol.51 |
| title | Two-dimensional delta potential wells and condensed-matter physics |
| topic | Física, Astronomía y Matemáticas condensed bound states regularization matter physics Delta potential wells |
| url | https://www.redalyc.org/articulo.oa?id=57064213 https://www.redalyc.org/journal/570/57064213/ https://www.redalyc.org/journal/570/57064213/html/ https://www.redalyc.org/journal/570/57064213/57064213.epub https://www.redalyc.org/journal/570/57064213/movil |