论文标题
关于有效的哈密顿量的特征多项式
On the characteristic polynomial of an effective Hamiltonian
论文作者
论文摘要
已经讨论了有效的哈密顿量的特征多项式。已经发现，与相关的能量特征值相比，这种特征多项式通常具有更好的分析性能和更大的收敛半径，而在相互作用参数的幂中扩展时，更适合于扰动计算。也已经构建了一种具有相同奇异性（分支点）的有效哈密顿量的形式。
The characteristic polynomial of the effective Hamiltonian for a general model has been discussed. It is found that, compared with the associated energy eigenvalues, this characteristic polynomial generally has better analytical properties and larger convergence radius when being expanded in powers of the interaction parameter, and hence is more suitable for a perturbation calculation. A form of effective Hamiltonian which has the same singularities (branch points) as such characteristic polynomial has also been constructed.
