A multiplicative product of distributions and a global formulation of the confined Schrodinger equation
| dc.creator | Dias, Nuno Costa | |
| dc.creator | Prata, Joao Nuno | |
| dc.date | 2008-12-03 | |
| dc.date.accessioned | 2026-07-07T12:08:42Z | |
| dc.date.available | 2026-07-07T12:08:42Z | |
| dc.description | A concise derivation of a new multiplicative product of Schwartz distributions is presented. The new product $\star$ is defined in the vector space ${\cal A}$ of piecewise smooth functions on $\bkR$ and all their (distributional) derivatives; it is associative, satisfies the Leibnitz rule and reproduces the usual product of functions for regular distributions. The algebra $({\cal A},+,\star)$ yields a sufficiently general setting to address some interesting problems. As an application we consider the problem of deriving a global formulation for quantum confined systems. | |
| dc.description | 5 pages, no figures. Presented by N.C. Dias at the 3rd Baltic-Nordic Workshop "Algebra, Geometry, and Mathematical Physics", Goteborg, Sweden, October 11-13, 2007 | |
| dc.identifier | https://arxiv.org/abs/0812.0638 | |
| dc.identifier | http://arxiv.org/abs/0812.0638 | |
| dc.identifier | Journal of Generalized Lie Theory and Applications, 2 (2008), No.3, 137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209415 | |
| dc.subject | Functional Analysis | |
| dc.subject | Mathematical Physics | |
| dc.subject | 46F10; 46F30; 81Qxx | |
| dc.title | A multiplicative product of distributions and a global formulation of the confined Schrodinger equation | |
| dc.type | text |