Spectral Analysis of relativistic operators

相对论算子的谱分析

• 批准号: EP/E04834X/1
• 负责人: William Evans
• 金额: $ 0.49万
• 依托单位: CARDIFF UNIVERSITY
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2007
• 资助国家: 英国
• 起止时间: 2007 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE04834X%2F1
• 关键词: Spectral; Analysis; relativistic; operators

The existence, or non-existence, of zero modes and resonances have profound implications for the stability of quantum mechanical systems described by the associated differential operators. For instance, the stability of matter problem concerns the question of whether the energy of the system of particles is bounded from below, and explains why some molecules exist and other configuration of particles do not. The proposal is to study such questions for a wide class of operators which includes the important standard ones of mathematical physics.

零模和共振态的存在与否对由相关微分算子描述的量子力学系统的稳定性有着深远的影响。例如，物质的稳定性问题涉及粒子系统的能量是否从下面被限制的问题，并解释了为什么一些分子存在而其他粒子的配置不存在。该建议是研究这样的问题，广泛的一类运营商，其中包括重要的标准的数学物理。