论文标题
Ansatz for Jahn-Teller三胞胎不稳定
Ansatz for the Jahn-Teller triplet instability
论文作者
论文摘要
相对于对称降低扭曲而言，jahn-teller不稳定，这是五个四型四极模式，是jahn-teller不稳定的。使用Bargmann引入的分析方法构建了相应的振动性哈密顿量的解决方案，作为基于分数亲子系数的现有组理论方法的替代方法。它涉及构造ANSATZ，该Ansatz将SO（5）纳入SO（3）对称性破裂。得出产生的Jahn-Teller方程，并根据径向多项式和Gegenbauer函数求解。
A threefold degenerate electronic state is Jahn-Teller unstable with respect to symmetry lowering distortions, which transform as the five quadrupolar modes. The solution of the corresponding vibronic Hamiltonian is constructed using the analytical method introduced by Bargmann, as an alternative to existing group-theoretical methods based on coefficients of fractional parentage. It involves the construction of an Ansatz which incorporates SO(5) to SO(3) symmetry breaking. The resulting Jahn-Teller equations are derived, and solved in terms of radial polynomials and Gegenbauer functions.
