论文标题
与Richardson-gaudin的近乎零体零地面和激发状态的近距离处理
Near-exact treatment of seniority-zero ground and excited states with a Richardson-Gaudin mean-field
论文作者
论文摘要
降低的Bardeen-Cooper-Schrieffer Hamiltonian，Richardson-Gaudin（RG）状态的特征向量被用作强烈相关的电子系统的变异波函数ANSATZ。这些状态是宝石产物，其系数是非线性方程的溶液。先前的结果表明了非物理行为，但在这一贡献中，表明只有基态的变分解决方案，所有零零状态的近似值都很好。困难在于选择正确的RG状态。所研究的系统显示出明确的选择，我们希望应该始终有可能在物理上选择哪种状态。
Eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian, Richardson-Gaudin (RG) states, are used as a variational wavefunction Ansatz for strongly-correlated electronic systems. These states are geminal products whose coefficients are solutions of non-linear equations. Previous results showed un-physical behaviour but in this contribution it is shown that with only the variational solution for the ground state, all the seniority-zero states are quite well approximated. The difficulty is in choosing the correct RG state. The systems studied showed a clear choice and we expect it should always be possible to reason physically which state to choose.
