| Title | An exact result for the Thomas-Fermi equation: A priori bounds for the potential slope at the origin |
|---|---|
| Publication Type | Articolo su Rivista peer-reviewed |
| Year of Publication | 2008 |
| Authors | Iacono, Roberto |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 41 |
| ISSN | 17518113 |
| Abstract | We examine the nonlinear boundary value problem formed by the Thomas-Fermi equation ″ = 3/2x-1/2, complemented with the boundary conditions (0) = 1 and (∞) = 0. We show that the value of ′ at the origin, which plays a crucial role in this problem, can be accurately bounded a priori, by exploiting integral properties of the Thomas-Fermi equation, and without any assumption on the functional dependence of (x). Extension of the approach to more general equations of the Emden-Fowler type is also briefly considered. © 2008 IOP Publishing Ltd. |
| Notes | cited By 3 |
| URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-58149357024&doi=10.1088%2f1751-8113%2f41%2f45%2f455204&partnerID=40&md5=85bf42c8ec06e10a975360cabba23a4d |
| DOI | 10.1088/1751-8113/41/45/455204 |
| Citation Key | Iacono2008 |
