论文标题
局部相干量子多体效运系统的数学理论
Mathematical Theory of Locally Coherent Quantum Many-Body Fermionic System
论文作者
论文摘要
最近，Wang和Cheng提出了一种用于多体费米子系统的自洽有效哈密顿理论（SCEHT）（Wang＆Cheng，2019）。本文试图为SCEHT的制定提供数学基础，以更加系统和理论的方式进一步研究系统的激发态。引入量规场，并在与耦合量规场的关系中正确正确的总能量功能。我们还提供了一个蒙特卡洛数值方案，用于搜索超出SCEHT的基态。
Recently Wang and Cheng proposed a self-consistent effective Hamiltonian theory (SCEHT) for many-body fermionic systems (Wang & Cheng, 2019). This paper attempts to provide a mathematical foundation to the formulation of the SCEHT that enables further study of excited states of the system in a more systematic and theoretical manner. Gauge fields are introduced and correct total energy functional in relations to the coupling gauge field is given. We also provides a Monte-Carlo numerical scheme for the search of the ground state that goes beyond the SCEHT.
