| 用变分路径积分四阶测度方法处理量子力学双势阱问题 |
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| 引用本文： | 王虹宇,包景东.用变分路径积分四阶测度方法处理量子力学双势阱问题[J].北京师范大学学报(自然科学版),2002,38(2):192-197. |
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| 作者姓名： | 王虹宇 包景东 |
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| 作者单位： | 1. 北京师范大学物理学系,100875;北京鞍山师范学院物理学系,114005,辽宁鞍山;2. 北京师范大学物理学系,100875,北京 |
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| 基金项目： | 国家自然科学基金;10075002,19605005; |
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| 摘 要： | 提出了一种计算量子力学路径积分的四阶测度方法,其中势场的二阶和四阶导数为2个变分参数.将此方法应用于双势阱问题,导出了有效经典势公式.对自由能、有效经典势和能量劈裂进行了数值研究,获得了优于Feynman-Kleinert二阶高斯测度方法的结果.该方法克服了涨落模积分在跨越温度附近发散的困难,可以给出丰富的鞍点行为,尤其适合于位垒动力学.
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| 关 键 词： | 变分路径积分方法 四阶测度 双势阱 |
| 修稿时间： | 2001年10月23日 |
FOURTH-ORDER MEASURE APPROACH TO PROBLEMS OF QUANTUM DOUBLE-WELL POTENTIAL |
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| Wang Hongyu , Bao Jingdong.FOURTH-ORDER MEASURE APPROACH TO PROBLEMS OF QUANTUM DOUBLE-WELL POTENTIAL[J].Journal of Beijing Normal University(Natural Science),2002,38(2):192-197. |
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| Authors: | Wang Hongyu Bao Jingdong |
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| Institution: | Wang Hongyu 1,2) Bao Jingdong 1) |
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| Abstract: | A fourth order measure approach for the variational path integrals is proposed and applied to the quantum double well potential. The expression of effective classical potential of the double well potential is derived. This approach can avoid the divergent path integral near the crossover temperature. The effective classical potential, free energy and level splitting are calculated numerically, the present results are better than that of Feynman Kleinert second order variational path integral method. |
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| Keywords: | variational path integral fourth order measure double well potential |
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