Exact Results in Statistical Mechanics

统计力学的精确结果

• 批准号: 9305930
• 负责人: Sheldon Goldstein
• 金额: $ 5万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-15 至 1995-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9305930&HistoricalAwards=false
• 关键词: Exact; Results; Statistical; Mechanics

9305930 Goldstein The investigator intends to continue his analysis of Bohmian mechanics, which defines a deterministic dynamical system involving a novel combination of ordinary and partial differential equations having remarkable properties. The proposed research involves the analysis of several rather distinct components: 1) the basic mathematical properties of the system itself, such as existence and uniqueness of the dynamics; 2) phenomenology, such as the emergence of the quantum formalism and of the classical limit; and 3) extensions to relativity and covariant gravitation. %%% The importance of the proposed research lies in the following observations. 1) The foundations of quantum theory continue to be mired in confusion and incoherence some sixty five years after its inception. 2) Bohmian mechanics is the natural embedding of Schroedinger's equation -- the mathematical core of almost all interpretations of quantum theory -- into a clear, precise physical theory, emerging if one merely insists that the Schroedinger wave function be relevant to the motion of particles. 3) An appreciation of Bohmian mechanics can be the source of flexibility and clarity when one attempts to apply quantum theory in new directions -- for example, to understand the implications of macroscopic interference effects -- and to new domains, such as quantum gravity. ***

9305930戈德斯坦研究人员打算继续对Bohmian力学的分析，该机械定义了确定性的动力学系统，涉及具有显着特性的普通和部分微分方程的新型组合。 拟议的研究涉及对几个相当不同的组成部分的分析：1）系统本身的基本数学特性，例如动态的存在和独特性； 2）现象学，例如量子形式主义和经典限制的出现； 3）相对论和协变量的扩展。 %%;提出的研究的重要性在于以下观察结果。 1）量子理论的基础在其成立后约65年继续陷入混乱和不连贯。 2）博学的力学是Schroedinger方程的自然嵌入（几乎所有量子理论解释的数学核心），成为一种清晰，精确的物理理论，如果仅坚持要坚持Schroedinger波的功能与颗粒运动有关。 3）当人们试图在新方向上应用量子理论时，对Bohmian力学的欣赏可能是灵活性和清晰度的来源 - 例如，了解宏观干扰效应的含义以及对新领域的含义，例如量子重力。 ***