The three-fermion problem in two and three dimensions; a unified variational approach

被引：2
|
作者：
Farajian, AA [1 ]
Esfarjani, K [1 ]
Kawazoe, Y [1 ]
机构：
[1] Tohoku Univ, Inst Mat Res, Sendai, Miyagi 9808577, Japan
来源：
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 1999年 / 32卷 / 03期
关键词：
D O I：
10.1088/0953-4075/32/3/016
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A new variational method is proposed to serve the three-fermion problem, in which two of the particles have the same mass. We obtain the total energy of the system for all masses in two and three spatial dimensions. In this way we can calculate the energies and wavefunctions of a wide range of systems including H- the charged exciton, H-2(+) and many others, in a unified manner. The scaling properties of total energy, wavefunction, and effective potential are derived and the relevant scaling parameters are introduced.
引用
收藏
页码：749 / 756
页数：8
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