内蒙古民族大学学报:自然科学版
內矇古民族大學學報:自然科學版
내몽고민족대학학보:자연과학판
Journal of Inner Mongolia University for the Nationalities(Natural Sciences)
2011年
5期
497-501
,共5页
量子棒%线性组合算符%杂质极化子%纵横比
量子棒%線性組閤算符%雜質極化子%縱橫比
양자봉%선성조합산부%잡질겁화자%종횡비
Quantum rods%Linear combination operator%Impurity bound polaron%Aspect ratio
通过坐标变换把量子棒的哈密顿量由椭球边界变为球形边界.采用线性组合算符方法,研究了量子棒中弱耦合杂质极化子的基态能量与椭球纵横比、量子棒的横向和纵向有效受限长度、库仑束缚势和电子-声子耦合强度的关系.结果表明:基态能量随有效受限长度的减少而迅速增大.表现出量子棒珍奇的量子尺寸限制效应.基态能量随库仑束缚势、纵横比和耦合强度的增加而减少.
通過坐標變換把量子棒的哈密頓量由橢毬邊界變為毬形邊界.採用線性組閤算符方法,研究瞭量子棒中弱耦閤雜質極化子的基態能量與橢毬縱橫比、量子棒的橫嚮和縱嚮有效受限長度、庫崙束縳勢和電子-聲子耦閤彊度的關繫.結果錶明:基態能量隨有效受限長度的減少而迅速增大.錶現齣量子棒珍奇的量子呎吋限製效應.基態能量隨庫崙束縳勢、縱橫比和耦閤彊度的增加而減少.
통과좌표변환파양자봉적합밀돈량유타구변계변위구형변계.채용선성조합산부방법,연구료양자봉중약우합잡질겁화자적기태능량여타구종횡비、양자봉적횡향화종향유효수한장도、고륜속박세화전자-성자우합강도적관계.결과표명:기태능량수유효수한장도적감소이신속증대.표현출양자봉진기적양자척촌한제효응.기태능량수고륜속박세、종횡비화우합강도적증가이감소.
The Hamiltonian of a quantum rod with an ellipsoidal boundary is given after a coordinate transformation that changes the ellipsoidal boundary into a spherical one.We then study the ground state energy of the weak-coupled impurity polaron in a quantum rod.The effects of the ellipsoid aspect ratio,the transverse and the longitudinal effective confinement lengths,the Coulomb bound potential and the electron-phonon coupled strength are taken into consideration by using the linear combination operator method.It is found that the ground state energy will increase rapidly with decreasing confinement lengths.These can be attributed to the interesting quantum size confining effects.The ground state energy is a decreasing functions of the Coulomb bound potential,the ellipsoid aspect ratio and the electron-phonon coupled strength.