Tunneling States of Impurities in Off-Center Potentials with Octahedral Symmetry
Tunneling States of Impurities in Off-Center Potentials with Octahedral Symmetry
复制标题
八面体对称性偏心势中杂质的隧道态
DOI：
10.1143/jpsj.54.1430
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发表时间：
1985
影响因子：
1.7
通讯作者：
Y. Kayanuma
中科院分区：
文献类型：
--
作者：
Satoshi Tanaka;H. Yamada;Y. Kayanuma
研究了具有O-h对称性的偏心势场中杂质的隧穿态。本文提出了一种求解量子力学本征值问题的方法，即把波函数展开成一系列由三维谐振子本征态构成的基函数的对称化正交集。将薛定谔方程转化为哈密顿矩阵的久期方程并进行数值求解。该方法应用于模型势V（r）= a（x2 + y2 + z2）+ B（x4 + y 4 + z4）+ c（x2 y2 + y2 z2 + z2 x2），通过连续改变参数值，可以覆盖从-偏心极小值到-偏心极小值的所有情形。的水平结构的功能澄清与潜在的形状。
The tunneling states of an impurity in off-center potentials with O h -symmetry is investigated. A method of solving the quantum mechanical eigenvalue problem is presented, in which the wave function is expanded in a series of the symmetrized orthonormal set of the basis functions constructed by the eigenstates of a three-dimensional harmonic oscillator. The Schrodinger equation is transformed into a secular equation for the Hamiltonian matrix and solved numerically. The method is applied to a model potential given by V ( r )= a ( x 2 + y 2 + z 2 )+ b ( x 4 + y 4 + z 4 )+ c ( x 2 y 2 + y 2 z 2 + z 2 x 2 ), which covers the cases from -off-center minimum to -off-center minimum continuously by changing the parameter values. The features of the level structure are clarified in connection with the potential shape.