Potential curves for lithium-like systems via the hyperspherical adiabatic approach
Full text
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| Author(s): |
José Paulo D'Incao
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física de São Carlos (IFSC/BT) |
| Defense date: | 2002-08-26 |
| Examining board members: |
Esmerindo de Sousa Bernardes;
Sylvio Roberto Accioly Canuto;
Marco Aurelio Pinheiro Lima;
Fernando Jorge da Paixão Filho;
Albérico Borges Ferreira da Silva
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| Advisor: | Esmerindo de Sousa Bernardes |
| Abstract | |
The three-electron system is treated in the hyperspherical adiabatic approach (HAA), imposing a angular adiabatic separation of the two-electron core and the outermost electron coordinates. This approach allow the substitution of the par-tial differential equations, inerent to the three-electron systems, by two systems of ordinary equation. To investigate the origin of the numerical instabilities, analyt¬ical properties for the wave functions are obtained analysing the regular singular structure of the differential equations. Potential curves supporting singly, doubly and triply excited states, calculated in the adiabatic approximation, are obtained for the doublet and quartet symmetry in the 53 and 5p2 angular momentum configuration. These results open a new insight, establishing a analytical approach in contraposi¬tion to purely numerical techniques, to the learning of general four-body systems, like excitons, bi-dimentional systems in semi-conductors and positronic systems (Ps-H, Ps2) (AU) | |