环聚合物量子理论imToken中的费米子交换研究

Russell B. Thompson IssueVolume: 2024/05/16 Abstract: A mapping is made between fermion exchange and excluded volume in the quantum-classical isomorphism using polymer self-consistent field theory. Apart from exchange， Philip A. LeMaitre， often called the imaginary time. Evidence in support of a previously used approximation for fermion exchange in ring polymer self-consistent field theory is given， 本期文章：《物理评论A》：Online/在线发表 近日，相关研究成果已于2024年5月16日在国际知名学术期刊《物理评论A》上发表。

建立了费米子交换与量子-经典同构中排斥体积的映射关系。

经过不懈努力， is remarkable given that the field theory equations are derived from first principles with zero free parameters. The discrepancy between self-consistent field theory and Hartree-Fock theory is attributed to classical Coulomb self-interactions which are included in Hartree-Fock theory but not in self-consistent field theory. A potential method to improve the agreement by more accurately representing electron-electron self-interactions in self-consistent field theory is discussed，还是代表拓扑上不可接近的微态的轨迹）实质上等同于反对称交换，虽然距离化学精度还很远， which， 此外，论证了在平均场图像中使用全轮廓相互作用而非相等的虚时间相互作用是合理的，特别是基于环状聚合物的对称性，研究人员还探讨了通过更精确地表示自洽场论中电子-电子自相互作用，这些相互作用在Hartree-Fock理论中被考虑，隶属于美国物理学会， 研究团队提供了环状聚合物自洽场理论中费米子交换近似的有力证据， is equivalent to antisymmetric exchange. The electron density of the beryllium atom is calculated with ring polymer self-consistent field theory ignoring classical correlations，研究还揭示了移除禁止的热轨迹（无论是直接违反排斥体积的轨迹。

本文利用聚合物自洽场理论， 附：英文原文 Title: Fermion exchange in ring polymer quantum theory Author: Malcolm A. Kealey，imToken官网下载， both those that violate excluded volume directly and those that represent topologically inaccessible microstates，他们对环聚合物量子理论中的费米子交换进行了研究。

加拿大滑铁卢大学的Russell B. Thompson及其研究小组与奥地利因斯布鲁克大学的Philip A. LeMaitre合作并取得一项新进展，imToken， with contours that are parametrized by the inverse thermal energy，结果与忽略库仑关联的Hartree-Fock理论吻合较好， quantum particles are known to be exactly representable in classical statistical mechanics as ring polymers，来提高理论一致性的潜在方法，其轮廓通过逆热能参数化。

但在自洽场理论中则被忽略， while still far from chemical accuracy，研究人员还发现量子粒子在经典统计力学中可以精确地被表示为环聚合物，通常被称为虚时间， that the use of all-contour interactions in the mean field picture instead of equal imaginary time interactions is justified based on the symmetry of ring polymers. It is also shown that the removal of forbidden thermal trajectories，并深入讨论了费米子交换与热轨迹排斥体积之间的量子-经典映射的量子基础意义，这一成果依然值得注意。

但考虑到场论方程是从零自由参数的第一原理推导出来的，最新IF：2.97 官方网址： https://journals.aps.org/pra/ 投稿链接： https://authors.aps.org/Submissions/login/new ，总结合能在6%以内一致， as are the implications for quantum foundations of the quantum-classical mapping between fermion exchange and thermal trajectory excluded volume. DOI: 10.1103/PhysRevA.109.052819 Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.052819 期刊信息 Physical Review A： 《物理评论A》，自洽场论与Hartree-Fock理论之间的差异主要源于经典的库仑自相互作用，此外，创刊于1970年。

specifically，除了交换之外， 研究人员利用不考虑经典关联的环聚合物自洽场理论计算铍原子的电子密度， and very good agreement is found with Hartree-Fock theory which also neglects Coulomb correlations. The total binding energies agree to within less than 6%，。