| 一维纳米微结构体系的量子谱和闭合轨道研究 |
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| 引用本文： | 母小云,陆军.一维纳米微结构体系的量子谱和闭合轨道研究[J].北京联合大学学报(自然科学版),2011(2):81-84. |
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| 作者姓名： | 母小云 陆军 |
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| 作者单位： | 北京联合大学,基础部,北京,100101 |
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| 基金项目： | 北京联合大学创新人才项目:二维纳米器件的非平衡态输运过程研究 |
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| 摘 要： | 本文用一维纳米微结构体系的本征值和本征波函数定义一种新的量子谱函数,并以粒子在一维纳米微结构体系中的闭合轨道运动为例,定量地计算出所定义的量子谱函数。研究结果表明量子谱函数的傅立叶变换模的平方与粒子的闭合轨道的经典作用量之间具有对应的关系。研究结果为探讨纳米微结构体系中的经典物理与量子物理的对应提供了新的依据。
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| 关 键 词： | 闭合轨道理论 量子谱函数 经典-量子对应 |
A Study on Quantum Spectrums and Closed-orbit in the System of One-dimensional Nano-microstructure |
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| MU Xiao-yun,LU Jun.A Study on Quantum Spectrums and Closed-orbit in the System of One-dimensional Nano-microstructure[J].Journal of Beijing Union University,2011(2):81-84. |
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| Authors: | MU Xiao-yun LU Jun |
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| Institution: | MU Xiao-yun,LU Jun(Department of Foundation Courses,Beijing Union University,Beijing 100101,China) |
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| Abstract: | A new quantum spectrum function is defined using the energy eigenvalues and eigenfunctions of a one-dimensional nana-microstructure system.As an example of the calculation of quantum spectrum function,the one-dimensional closed orbits motion of a billiard was considered.It is found that the Fourier transform of the quantum spectrum function corresponds with the classical closed-orbits in the system.These results give new evidence about the classical-quantum correspondence in the system of one-dimensional na... |
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| Keywords: | closed orbitquantum spectrum classical-quantum correspondence |
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