| 自旋1／2和自旋1系统在一维变化磁场中的精确解和Aharonov－Anandan相 |
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| 引用本文： | 贺劲松,王世伦.自旋1／2和自旋1系统在一维变化磁场中的精确解和Aharonov－Anandan相[J].四川师范大学学报(自然科学版),1994(4). |
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| 作者姓名： | 贺劲松 王世伦 |
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| 作者单位： | 四川师范大学物理系 |
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| 摘 要： | 本文首先根据Ｍｉｚｒａｈｉ构造不变量的方法建立了在一维变化磁场中自旋ｊ系统的不变量，然后利用自旋１／２和自旋１系统不变量的简明矩阵形式直接求解不变量的本征波函数，由此给出了该系统含时Ｓｃｈｒｏｄｉｎｇｅｒ方程的精确解，进而根据Ｌｅｗｉｓ相讨论了此系统的Ａｈａｒｏｎｏｖ－Ａｎａｎｄａｎ相。
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| 关 键 词： | Lewis－Riesenfeld不变量理论 自旋1／2和自旋1系统 含时 方程 Aharonov－Anandan相 |
THE EXACT SOLUTION AND AHARONOV-ANANDAN PHASE FOR SPIN 1/2 AND SPIN 1 SYSTEMS IN ONE DIMENSIONAL VARIED MAGNETIC FIELDS |
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| He Jingshong,Wang Silun.THE EXACT SOLUTION AND AHARONOV-ANANDAN PHASE FOR SPIN 1/2 AND SPIN 1 SYSTEMS IN ONE DIMENSIONAL VARIED MAGNETIC FIELDS[J].Journal of Sichuan Normal University(Natural Science),1994(4). |
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| Authors: | He Jingshong Wang Silun |
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| Abstract: | In this paper, we construct invariants of spin-j system in one dimensional varied magnetic fields in terms of Mizrahi's method for constructing invariants, then we apply simple matrix of spin and spin-j invariants to solve eigenfunctions of invariants. From this we get the exact solution of the time-dependent Schrodinger equation for this system. According to Lewis phase, we discuss Aharonov-Anandon phase. |
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| Keywords: | Lewis-Riesenfeld invariant theory spin and spin-1 system time-dependent Schr dinger equation Aharonov-Anandan phase |
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