| Автор | R F Bishop |
| Автор | W A Lahoz |
| Дата выпуска | 1987-09-11 |
| dc.description | This paper is the first of two in which the coupled cluster method (CCM) or exp(S) formalism is applied to two-component Fermi systems, the aim being to describe real metals and superconductivity. In this paper the authors concentrate on exact results and restrict ourselves to a ring approximation, applicable essentially to a high-density regime. They show that in the ground-state formalism the random phase approximation (RPA) can be formulated as a system of coupled, bilinear integral equations satisfied by functions associated with the so-called four-point functions of the system which provide a measure of the two-particle two-hole components in the true ground-state wavefunction. These equations are analysed in the dimensionless parameter formed by the ratio of the species masses and exact analytic solutions obtained. For Coulombic potentials (V<sub>11</sub>V<sub>22</sub>=V<sup>2</sup><sub>12</sub>) they show that the exact analytic solution is unique and obtain an expression for the correlation energy. For non-Coulombic potentials (V<sub>11</sub>V<sub>22</sub> not=V<sup>2</sup><sub>12</sub>) they indicate how to obtain a possible analytic solution. An RPA-like treatment of the one- and two-body equations in the excited-state formalism is provided for completeness. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Two-component Fermi systems. I. Fluid coupled cluster theory |
| Тип | paper |
| DOI | 10.1088/0305-4470/20/13/026 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 20 |
| Первая страница | 4203 |
| Последняя страница | 4236 |
| Аффилиация | R F Bishop; Dept. of Math., Univ. of Manchester Inst. of Sci. & Technol., UK |
| Аффилиация | W A Lahoz; Dept. of Math., Univ. of Manchester Inst. of Sci. & Technol., UK |
| Выпуск | 13 |
