| 广义含时谐振子的精确解和Berry相因数 |
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| 引用本文： | 高孝纯,许晶波,钱铁铮.广义含时谐振子的精确解和Berry相因数[J].物理学报,1991,40(1):25-32. |
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| 作者姓名： | 高孝纯 许晶波 钱铁铮 |
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| 作者单位： | 浙江大学物理系,杭州,310027;浙江大学物理系,杭州,310027;浙江大学物理系,杭州,310027 |
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| 摘 要： | 本文利用Lewis-Riesenfeld的量子理论,求出广义含时谐振子的精确解。研究了此精确解的绝热渐近极限,并求出广义谐振子在量子绝热情形的Berry相因数。进而利用此精确解构造了广义含时谐振子的相干态,并得到相应的经典Hannay角。
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THE EXACT SOLUTION AND BERRY'S PHASE FOR THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR |
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| GAO XIAO-CHUN,XU JIN-BO and QIAN TIE-ZHENG.THE EXACT SOLUTION AND BERRY''S PHASE FOR THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR[J].Acta Physica Sinica,1991,40(1):25-32. |
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| Authors: | GAO XIAO-CHUN XU JIN-BO and QIAN TIE-ZHENG |
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| Abstract: | In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then, the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase factor for the oscillator obtained. We proceed to use the exact solution to construct the coherent state and calculate the corresponding classical Hannay angle. |
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