| 时间依赖的幺正变换方法研究变质量系统 |
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| 引用本文： | 俞攸红. 时间依赖的幺正变换方法研究变质量系统[J]. 科技通报, 2000, 16(4): 270-273 |
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| 作者姓名： | 俞攸红 |
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| 作者单位： | 杭州教育学院,浙江,杭州,310004 |
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| 基金项目： | :杭州教育学院科研基金资助项目 |
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| 摘 要： | 时间依赖的幺正变换方法是研究时系统的有力工具之一。通过寻找一系列时间依赖的幺正变换研究了一类变质量谐振子系统的时间演化问题，求出了此类系统的精确解，给出了质量随时间幂级数变化的谐振子精确演化态的解析表达式。
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| 关 键 词： | 时间演化 幺正变换 谐振子 变质量系统 哈密顿量 |
The Study of the System with Varying Mass by Making Use of the Time-dependent Unitary Transformations |
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| YU You-hong. The Study of the System with Varying Mass by Making Use of the Time-dependent Unitary Transformations[J]. Bulletin of Science and Technology, 2000, 16(4): 270-273 |
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| Authors: | YU You-hong |
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| Abstract: | Method of the time dependent unitary transformation is one of powerful tools for the study of the time dependent system. The time evolution of a harmonic oscillator with varying mass was studied by making use of a sequence of the time dependent unitary transformations and the exact solution of the system obtained. An explicit expression for the exact evolving state of a harmonic oscillator, whose mass varies as non negtive powers of time was also given. |
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| Keywords: | time evolution unitary transformation harmonic oscillator |
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