Analytical functions for the calculation of hyperspherical potential curves of atomic systems
| dc.contributor.author | De Groote, J. J. [UNESP] | |
| dc.contributor.author | Masili, Mauro | |
| dc.contributor.author | Hornos, J. E. | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | The University of Nebraska | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.date.accessioned | 2022-04-28T19:07:09Z | |
| dc.date.available | 2022-04-28T19:07:09Z | |
| dc.date.issued | 2000-01-01 | |
| dc.description.abstract | We present angular basis functions for the Schrödinger equation of two-electron systems in hyperspherical coordinates. By using the hyperspherical adiabatic approach, the wave functions of two-electron systems are expanded in analytical functions, which generalizes the Jacobi polynomials. We show that these functions, obtained by selecting the diagonal terms of the angular equation, allow efficient diagonalization of the Hamiltonian for all values of the hyperspherical radius. The method is applied to the determination of the [Formula Presented] energy levels of the [Formula Presented] and we show that the precision can be improved in a systematic and controllable way. © 2000 The American Physical Society. | en |
| dc.description.affiliation | Instituto de Química de Araraquara Universidade Estadual Paulista, Caixa Postal 355, Araraquara, 14 801-970 | |
| dc.description.affiliation | Department of Physics and Astronomy The University of Nebraska, 116 Brace Laboratory, NE, 588-0111 | |
| dc.description.affiliation | Instituto de Física de São Carlos Universidade de São Paulo, Caixa Postal 369, São Carlos, 13 560-970 | |
| dc.description.affiliationUnesp | Instituto de Química de Araraquara Universidade Estadual Paulista, Caixa Postal 355, Araraquara, 14 801-970 | |
| dc.format.extent | 9 | |
| dc.identifier | http://dx.doi.org/10.1103/PhysRevA.62.032508 | |
| dc.identifier.citation | Physical Review A - Atomic, Molecular, and Optical Physics, v. 62, n. 3, p. 9-, 2000. | |
| dc.identifier.doi | 10.1103/PhysRevA.62.032508 | |
| dc.identifier.issn | 1094-1622 | |
| dc.identifier.issn | 1050-2947 | |
| dc.identifier.scopus | 2-s2.0-85037233135 | |
| dc.identifier.uri | http://hdl.handle.net/11449/220975 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Physical Review A - Atomic, Molecular, and Optical Physics | |
| dc.source | Scopus | |
| dc.title | Analytical functions for the calculation of hyperspherical potential curves of atomic systems | en |
| dc.type | Artigo |