| 玻色-爱因斯坦凝聚中的色散关系 |
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| 引用本文： | 徐岩,侯风超,徐世林,李照鑫,谭磊.玻色-爱因斯坦凝聚中的色散关系[J].山东科技大学学报(自然科学版),2008,27(6). |
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| 作者姓名： | 徐岩 侯风超 徐世林 李照鑫 谭磊 |
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| 作者单位： | 1. 山东科技大学,理学院,山东,青岛,266510
2. 兰州大学,物理科学与技术学院,甘肃,兰州,730000 |
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| 基金项目： | 国家自然科学基金项目
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甘肃省自然科学基金项目
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| 摘 要： | 超流性是玻色-爱因斯坦凝聚宏观量子效应的重要体现,分别用运动方程法和哈密顿量对角化方法,通过傅里叶变换导出了玻色-爱因斯坦凝聚超流体的色散关系,并给出了凝聚体中声子速度的表达式.结果表明,在长波极限下,色散关系与波数近似成线性关系.
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| 关 键 词： | 玻色-爱因斯坦凝聚 超流 Gross-Pitaevskii方程 |
Dispersion Relation in Bose-Einstein Condensates |
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| XU Yan,HOU Feng-chao,XU Shi-lin,LI Zhao-xin,TAN Lei.Dispersion Relation in Bose-Einstein Condensates[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,2008,27(6). |
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| Authors: | XU Yan HOU Feng-chao XU Shi-lin LI Zhao-xin TAN Lei |
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| Institution: | XU Yan1,HOU Feng-chao1,XU Shi-lin1,LI Zhao-xin1,TAN Lei2(1.College of Science,SUST,Qingdao,Sh,ong 266510,China,2.College of Physical Science , Technology,Lanzhou University,Lanzhou,Gansu 730000,China) |
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| Abstract: | The superfluidity is an important property of macroscopic quantum effect in Bose-Einstein Condensates.In this paper,we obtain the dispersion relation in Bose-Einstein Condensates by way of Fourier transformation and by means of two methods of both equation of motion and diagonalization Hamiltonian of the system respectively and we present the expression of quantum velocity in condensates.The results show that the dispersion relation is linearly proportional to the wave number under long wavelength limit. |
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| Keywords: | Bose-Einstein Condensates superfluidity Gross-Pitaevskii Equation |
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