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静电场作用下非对称双势阱中本征问题的研究
引用本文:曹冬梅,李永放,王利强. 静电场作用下非对称双势阱中本征问题的研究[J]. 陕西师范大学学报(自然科学版), 2006, 34(4): 37-40
作者姓名:曹冬梅  李永放  王利强
作者单位:陕西师范大学物理学与信息技术学院 陕西西安710062
摘    要:利用二能级近似和迭代方法,研究了静电场作用下W型双势阱的本征问题和对称及非对称双势阱内本征值所呈现的各种特性.结果表明,对称势阱内存在双能级结构和确定宇称的波函数.在非对称势阱中,外场较小时,仍为双能级结构,但波函数出现定域;外场较强时,双势阱向单阱过渡,能级分布失去双能级结构,即类似单阱内能级分布.

关 键 词:非对称双势阱  本征值  本征矢
文章编号:1672-4291(2006)04-0037-04
收稿时间:2005-12-12
修稿时间:2005-12-12

Study on the eigen solutions of the asymmetric double-well potential with electrostatic field
CAO Dong-mei,LI Yong-fang,WANG Li-qiang. Study on the eigen solutions of the asymmetric double-well potential with electrostatic field[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2006, 34(4): 37-40
Authors:CAO Dong-mei  LI Yong-fang  WANG Li-qiang
Abstract:Investigated the eigenvalues and eigenvalue characteristics of both the symmetric and asymmetric double-well models in electrostatic field with two-level approximation and iteration method.The symmetric double-well potential gives rise to the wave functions with certain parity and doublet structures.For the moderate asymmetric well,the doublet structures are existed apparently and the wave functions are all localized in one and another well.With strong electrostatic field,the double-well loses symmetric completely,and the distribution of states is similar to that of the harmonic well.
Keywords:asymmetric double-well potential  eigenvalue  eigenvector
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