On the Relationship Between Classical and Quantum Mechanics: What Can We Learn from Semiclassical Mechanics?

论经典力学与量子力学的关系：我们能从半经典力学中学到什么？

• 批准号: 9211983
• 负责人: Robert Batterman
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-01 至 1993-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9211983&HistoricalAwards=false
• 关键词: Relationship; Between; Classical; Quantum; Mechanics

Professor Batterman aims to provide an in-depth philosophical discussion of the status of semiclassical mechanics. This is an area of research that is located somewhere between classical and quantum mechanics, and which can most profitably be viewed as a modern formulation of the old (pre-1925) quantum theory. A large part of the concern with this question comes from the fact that many researchers in semiclassical mechanics appear to take the results as explanatory, and even to provide genuine understanding of various quantum phenomena in terms almost entirely classical. The nature of this understanding is being investigated by considering in detail some examples of how apparent failures of the old quantum theory have, subsequently, succumbed to semiclassical treatment. It is Professor Batterman's major contention that for semiclassical mechanics to provide genuine explanations and understanding, it must be considered a theory in its own right. It is not simply an approximation to the quantum theory; that is, not merely a procedure for computing approximations to quantal solutions. It is the aim of this project to consider the implications of this claim.

教授巴特曼旨在提供一个深入的哲学 讨论半经典力学的地位。 这是一 研究领域，位于古典和 量子力学，它可以最有利地被视为一个 旧量子理论（1925年以前）的现代表述。 大 对这个问题的部分关注来自于这样一个事实， 许多半经典力学的研究者似乎认为， 结果作为解释，甚至提供真正的理解 各种各样的量子现象几乎都是经典的。 这种理解的性质正在调查， 详细考虑一些例子， 旧的量子理论，随后，屈服于半经典 治疗 巴特曼教授的主要论点是， 半经典力学提供真正的解释， 理解，它必须被认为是一个理论在自己的权利。 它 不是简单地近似量子理论;也就是说，不是 仅仅是一个计算量子近似的过程， 解决方案 本项目的目的是考虑 这一主张的影响。