| n维简谐势阱中粒子的态密度 |
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| 引用本文： | 陈丽璇,严子浚.n维简谐势阱中粒子的态密度[J].厦门大学学报(自然科学版),1998,37(6):848-852. |
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| 作者姓名： | 陈丽璇 严子浚 |
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| 作者单位： | 厦门大学物理学系 |
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| 摘 要： | 应用半经典近似法计算任意维数非相对论性理想体系处于简谐外势中的量子态密度，得出解析的表达式，并进行讨论．揭示了简谐外势对系统性质的影响．特别是对于二维系统，使之从准长程序转变为长程序，对于一维系统，使之从无序转变为准长程序
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| 关 键 词： | 量子态密度，简谐外势阱，空间维数 |
The Density of States of Particles in a Harmonic Potential in Any Dimensional Space |
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| Chen Lixuan,Yan Zijun,Li Mingzhe,Chen Chuanhong.The Density of States of Particles in a Harmonic Potential in Any Dimensional Space[J].Journal of Xiamen University(Natural Science),1998,37(6):848-852. |
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| Authors: | Chen Lixuan Yan Zijun Li Mingzhe Chen Chuanhong |
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| Abstract: | By Using the semi classical approximation, the density of quantum states of the nonrelativistic ideal system in a harmonic potential is calculated, and the analytical results are derived for any dimensional systems. The effects of harmonic potential on the properties of such systems are expounded. It is shown that the effect of harmonic potential on the low dimensional system is quite evident, which makes the two dimensional system from quasi long range order to long range order and the one dimensional system from disorder to quasi long range order. |
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| Keywords: | Density of quantum states External harmonic potential Dimension of space |
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