论文标题
基于动作功能的多电子系统的基态
Ground state of many-electron systems based on the action function
论文作者
论文摘要
相互作用电子系统的Hilbert空间随着电子数量$ n $的指数增长。这将基于schrödinger方程解决方案的$ψ$的概念限制为$ n \ leq n_0 $，$ n_0 \ simeq 10^3 $ \ cite {kohn1999}。有人认为，这个指数壁问题（EWP）与包含的信息越来越多，例如在系统的地面及其波函数相关。当基态的表征基于操作函数$ r $而不是基于Schödinger方程的解决方案$ψ$时，可以避免EWP和信息的冗余。两者都是通过对数相关的，即$ r = -i \ hbar \lnψ$。通过使用累积剂使与对数合作成为可能。它指出了周期固体的电子结构计算的方式可能使用此概念。
The Hilbert space for an interacting electron system increases exponentially with electron number $N$. This limits the concept of wavefunctions $ψ$ based on solutions of the Schrödinger equation to $N \leq N_0$ with $N_0 \simeq 10^3$ \cite{Kohn1999}. It is argued that this exponential wall problem (EWP) is connected with an increasing redundance of information contained, e.g., in the ground-state of the system and it's wavefunction. The EWP as well as redundance of information are avoided when the characterization of the ground state is based on the action function $R$ rather than on the solutions $ψ$ of the Schödinger equation. Both are related through a logarithm, i.e., $R = -i \hbar \ ln ψ$. Working with the logarithm is made possible by the use of cumulants. It is pointed out the way electronic structure calculations for periodic solids may use this concept.
