Two-body atomic system in a one-dimensional anharmonic trap: The energy spectrum

被引：6

作者：

Ishmukhamedov I.S. ^{[1
,2
]}

Aznabayev D.T. ^{[1
,2
]}

Zhaugasheva S.A. ^{[1
,2
]}

机构：

[1] Joint Institute for Nuclear Research, Dubna, 141980, Moscow oblast

[2] Al-Farabi Kazakh National University, Almaty

来源：

Physics of Particles and Nuclei Letters | 2015年 / 12卷 / 5期

关键词：

Perturbation Theory; Nucleus Letter; Optical Trap; Order Perturbation Theory; Harmonic Trap;

D O I：

10.1134/S1547477115050076

中图分类号：

学科分类号：

摘要：

We numerically investigate the following two-body stationary Schrödinger equation (SE): (Formula presented.) is the potential describing the interaction of atoms with a trap and gδ(x1–x2) is the interatomic potential. Previously, a similar problem has been solved analytically for the harmonic interaction (Formula presented.) with the trap, which leads to the separation of coordinates (Formula presented.) for the center-of-mass and relative motion. The anharmonicity of the trap couples these motions and, there-fore, the problem becomes significantly more complicated. In previous works, the anharmonicity Va = V–Vh of the trap has been taken into account in the framework of perturbation theory. In this work, the energy level shifts of a two-body atomic system are calculated beyond the perturbation theory for different magnitudes of parameter g of the interatomic interaction. The results are compared to those computed using the perturbation theory. © 2015, Pleiades Publishing, Ltd.

引用

页码：680 / 688

页数：8

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