发表机构
TU Wien(维也纳工业大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文提出一种变分技术求解非厄米量子系统,成功应用于d=2维负耦合四次自相互作用的标量场论,并强调了与标准量子力学的差异及潜在陷阱。
AI 中文摘要
这项工作描述了一种求解非厄米量子系统的变分技术,特别是具有负耦合四次自相互作用的系统。文中强调了将标准量子力学中的变分方法应用于非厄米量子力学时的差异,包括潜在的陷阱。本文展示了变分方法在非厄米情形下的成功实现。该技术被用于分析d=2维、具有负四次自相互作用的标量量子场论,采用哈密顿形式下的格点离散化。
英文摘要
This work describes a variational technique to solve non-Hermitian quantum systems, in particular those with negative coupling quartic self-interaction. Differences of applying variational methods from standard quantum mechanics to non-Hermitian quantum mechanics -- including potential pitfalls -- are highlighted. A successful implementation of the variational approach for the non-Hermitian case is presented. The technique is used to analyze scalar quantum field theory in d=2 with negative quartic self-interaction in the Hamiltonian formulation in lattice discretization.
Comments26 pages, 11 figures