Abstract

The wave function and energy of the ground state of a lattice described by the Su–Schrieffer–Heeger Hamiltonian with a trap were found using three different methods. In the first of these methods, the energy of the ground state was calculated by numerical minimization of the energy functional. In the second, an auxiliary Hamiltonian was constructed, the diagonalization of which determined the energy of the ground state and the wave functions. And in the third, the wave function is completely restored analytically from the asymptotics of the wave function. All the three approaches produced results that agreed with an accuracy of 10^–15.

中文翻译：

---

Su-Schrieffer-Heeger逼近中具有陷阱的格子上的极化子

摘要

用三种不同的方法发现了由Su–Schrieffer–Heeger哈密顿量描述的带陷阱的晶格基波的波函数和基态能量。在这些方法的第一种方法中，通过能量函数的数值最小化来计算基态的能量。在第二步中，构造了一个辅助哈密顿量，其对角线确定了基态的能量和波函数。第三，从解析函数的渐近性来看，完全恢复了波动函数。所有这三种方法产生的结果都以10 ^–15的精度相^吻合。