包络理论的精度测试
Accuracy Tests of the Envelope Theory
AI总结：
本研究测试包络理论在量子多体系统中精度不足的原因，发现势发散会降低结果精度，而变分性质的缺乏会削弱改进程序的效果。
摘要：
包络理论是一种易于使用的近似方法，用于获取某些量子多体系统的本征解，特别是在强子物理领域。尽管解是可靠的且存在改进程序，但该方法对某些系统可能缺乏精度。在先前的工作中，提出了两个假设来解释低精度：势中存在发散或特定相互作用缺乏变分性质。在本工作中，研究了不同系统以测试这些假设。这些测试表明，发散的存在确实会导致结果精度降低，而变分性质的缺乏则降低了改进程序的影响。
英文摘要：
The envelope theory is an easy-to-use approximation method to obtain eigensolutions for some quantum many-body systems, in particular in the domain of hadronic physics. Even if the solutions are reliable and an improvement procedure exists, the method can lack accuracy for some systems. In a previous work, two hypotheses were proposed to explain the low precision: the presence of a divergence in the potential or the lack of a variational character for peculiar interactions. In the present work, different systems are studied to test these hypotheses. These tests show that the presence of a divergence does indeed cause less accurate results, while the lack of a variational character reduces the impact of the improvement procedure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
