| 谐振磁场中自旋系统的演化和几何相因子 |
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| 引用本文： | 俞攸红.谐振磁场中自旋系统的演化和几何相因子[J].科技通报,2000,16(2):108-110,115. |
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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： | 量子不变量理论是研究几何相因子问题的有效方法。利用Ｌｅｗｉｓ－Ｒｉｅｓｅｎｆｅｌｄ不变量理论研究了谐振磁场中的自旋系统，给出了两种不同循环演化周期的精确解，并进而分别计算了此系统两种不同的几何相因子。研究表明，不同循环演化周期的几何相因子与初始态的选择有关。
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| 关 键 词： | 谐振磁场 自旋系统 几何相因子 不变量理论 |
| 文章编号： | 1001-7119(2000)02-0108-03 |
Time Evolution of a Particle with Spin-j in an Oscillating Magnetic Field and Geometric Phases |
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| YU You-hong.Time Evolution of a Particle with Spin-j in an Oscillating Magnetic Field and Geometric Phases[J].Bulletin of Science and Technology,2000,16(2):108-110,115. |
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| Authors: | YU You-hong |
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| Abstract: | Quantum invariant theory is an effective method to study geometric phase problems. By making use of the Lewis Riesenfeld invariant theory, a particle with spin j in an oscillating magnetic field is studied and the exact solutions for two different cyclic periods are found. It is then used to obtain two different geometric phases corresponding to two different cyclic periods. It is quite clear from our derivation that the geometric phases corresponding to two different cyclic periods are closely associated with the initial states of the system. |
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| Keywords: | oscillating magnetic field spin system geometric phases |
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