| 代数动力学方法研究倒立Caldirola-Kanai谐振子的时间演化 |
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| 引用本文： | 刘红玲,刘高福,刁心峰.代数动力学方法研究倒立Caldirola-Kanai谐振子的时间演化[J].四川大学学报(自然科学版),2013,50(2):337-341. |
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| 作者姓名： | 刘红玲 刘高福 刁心峰 |
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| 作者单位： | 贵州师范大学物理与电子科学学院;贵州师范大学物理与电子科学学院;贵州师范大学物理与电子科学学院 |
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| 摘 要： | 基于代数动力学的方法,研究了倒立Caldirola-Kanai谐振子的时间演化问题.计算得出了Caldirola-Kanai谐振子的一整套正交非绝热基矢.以高斯波包为初始态,利用这套正交非绝热基矢得到了任意时间的波函数.通过研究其居留时间并画出了居留时间和耗散参数的关系图形,可得出居留时间随耗散参数的增大而增大.
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| 关 键 词： | 代数动力学 倒立Caldirola-Kanai谐振子 居留时间 |
| 收稿时间： | 2012/9/10 0:00:00 |
Study of time-evolution ofinverted Caldirola-Kanai oscillator by algebraic dynamics |
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| LIU Hong-Ling,LIU Gao-Fu and DIAO Xin-Feng.Study of time-evolution ofinverted Caldirola-Kanai oscillator by algebraic dynamics[J].Journal of Sichuan University (Natural Science Edition),2013,50(2):337-341. |
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| Authors: | LIU Hong-Ling LIU Gao-Fu and DIAO Xin-Feng |
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| Institution: | School of physics and Electronic Science,Guizhou Normal University;School of physics and Electronic Science,Guizhou Normal University;School of physics and Electronic Science,Guizhou Normal University |
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| Abstract: | The time evolution of theinverted Caldirola Kanai oscillator is investigated by the algebraic dynamics method. A set of orthogonal diabatic bases are obtained. With the Gaussian wave packet as the initial state, we can obtain the wave function at any time by using the orthogonal diabatic basis. We investigate the sojourn time of the Gaussian wave packet and draw a figure to show the relation between the sojourn time and the dissipative parameter. We find that the sojourn time increases with the increasing dissipative parameter. |
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| Keywords: | algebraic dynamics Caldirola Kanai oscillator sojourn time |
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