| 粒子隧道几率的一种新形式 |
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| 引用本文： | 高灿柱,步宇翔,史玉明.粒子隧道几率的一种新形式[J].分子科学学报,1996(4). |
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| 作者姓名： | 高灿柱 步宇翔 史玉明 |
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| 作者单位： | 山东大学环境工程系，山东大学理论化学研究室，山东大学数学与系统工程学院 |
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| 摘 要： | 基于二阶线型微分方程的多个任意阶转向点，建立了粒子进入或跳出势垒或势井时状态波函数的连结公式，导出了粒子穿过势垒的隧道几率公式，并利用严格的数学方法讨论了粒子进入势井时的量子化条件。该公式可合理地还原到一阶转向点情况，并与早期利用一阶转向点近似所推导出的公式相一致。
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| 关 键 词： | 隧道几率，任意阶转向点，连结公式，量子化条件 |
A New Formalism of the Particle-tunneling Probability |
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| Gao Canzhu,Bu Yuxiang,Shi Yuming.A New Formalism of the Particle-tunneling Probability[J].Journal of Molecular Science,1996(4). |
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| Authors: | Gao Canzhu Bu Yuxiang Shi Yuming |
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| Abstract: | On the basis of the multiple arbitrary order turning points of a second-order linear differential equation,the connection formulas are established for the state wave functions of a particle before and after entering or going out a potential barrier or well,the generalized tunneling probability formula is derived for a particle crossing a potential barrier,and the quantum condition is also given for a particle entering a potential well using strict mathematics method.The reduced formula from these generalized formulas by letting the order of turning point equal to 1 is in good agreement with those derived early using the first-order turning point approximation. |
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| Keywords: | tunneling probability arbitrary order turning point connection formula quantum condition |
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