“乒乓”电子转移。I.洛施密特回声的第一次反射
"Ping-pong" electron transfer. I. First reflection of the Loschmidt echo
摘要：
研究了一维晶格上电子波函数的量子动力学。该晶格由$N$相等位置和一个杂质位置组成。杂质位与其它位的不同之处在于在位电子能量$E$和跳跃积分$C$。波函数位于$t = 0$的杂质位置上。形成沿晶格传播并从其端部反射的波包。反射发生多次（Loschirtecho），这种现象被认为是在第二部分的文件。导出了不同$E$和$C$值时波包波前传播的解析表达式，与数值模拟结果吻合较好。所获得的结果可以帮助解释最近的实验在合成的寡核苷酸高效的电荷传输。
英文摘要：
Quantum dynamics of the electron wave function on one-dimensional lattice is considered. The lattice consists of $N$ equal sites and one impurity site. The impurity site differs from other sites by the on-site electron energy $E$ and the hopping integral $C$. The wave function is located on the impurity site at $t = 0$. The wave packet is formed which travels along the lattice, and reflects from its end. Reflections happen many times (Loschmidt echo) and this phenomenon is considered in the second part of the paper. Analytical expressions for the wave packet front propagation at different values $E$ and $C$ are derived, and they are in excellent agreement with the numerical simulation. The obtained results can help in interpretation of recent experiments on highly efficient charge transport in synthetic olygonucleotides.
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