| 量子Klein-Gordon模型色散关系的含时变分法研究 |
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| 引用本文： | 钟红伟,何卫中,何晓莹. 量子Klein-Gordon模型色散关系的含时变分法研究[J]. 广西工学院学报, 2009, 20(3): 53-55,65 |
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| 作者姓名： | 钟红伟 何卫中 何晓莹 |
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| 作者单位： | 广西工学院信息与计算科学系,广西,柳州,545006;广西工学院信息与计算科学系,广西,柳州,545006;广西工学院信息与计算科学系,广西,柳州,545006 |
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| 基金项目： | 广西工学院自然科学基金 |
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| 摘 要： | 通过采用含时变分原理,在结合Hartree型多粒子试探波函数和Jackiw-Kerman型单粒子波函数的基础上,研究了带对称单阱非谐格点势的量子Klein-Gordon模型的声子色散关系.在满足最小测不准关系的条件下,导出了粒子的期望值所满足的运动方程,并以此得到了声子色散关系.结果表明:与经典模型相比,由于量子涨落的影响,量子模型中的有效格点势的二次方项系数增大,声子元激发的带隙变宽;二次方项系数和带隙随着量子涨落和格点势的四次方项系数的增大而增大.
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| 关 键 词： | Klein-Gordon模型 声子色散关系 含时变分原理 量子涨落 |
Time-dependent variational approach to dispersion relation of the quantum Klein-Gordon model |
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| ZHONG Hong-Wei,HE Wei-Zhong,HE Xiao-Ying. Time-dependent variational approach to dispersion relation of the quantum Klein-Gordon model[J]. Journal of Guangxi University of Technology, 2009, 20(3): 53-55,65 |
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| Authors: | ZHONG Hong-Wei HE Wei-Zhong HE Xiao-Ying |
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| Affiliation: | ZHONG Hong-Wei,HE Wei-Zhong,HE Xiao-Ying(Department of Information and Computing Science,Guangxi University of Technology,Liuzhou 545006,China) |
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| Abstract: | The phonon dispersion relation of the quantum Klein-Gordon model with symmetric single-well anharmonic substrate potential is studied by means of the time-dependent variational principle combined with Hartree-type trial wavefunction for system and Jackiw-Kerman wavefunction for single particle.Under the condition of minimum uncertainty relation,equations of motion for the particle expectation values are derived to obtain the phonon dispersion relation.It is shown that the coefficient of square term of the s... |
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| Keywords: | Klein-Gordon model phonon dispersion relation time-dependent variational principle quantum fluctuations |
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