几何切触及其在物理学中的应用THE GEOMETRIC CONTACT AND ITS APPLICATIONS TO PHYSICS
刘全慧
摘要(Abstract):
在数学上几何切触定义了两个函数在某点上近似相等的“程度”,在物理上,这个局域性可以解释为区域性且为两个函数在一个区间内近似相等提供了精确刻画。由于物理学没有引进几何切触,导致了不同的文献对同一个现象的理解和表述互不相同等问题。通过对热力学和统计物理中两个问题的处理,圆满解决了一些长期存在的分歧。
关键词(KeyWords): 热力学;统计物理;微分几何;切触;第三定律;玻色-爱因斯坦凝聚
基金项目(Foundation): 湖南省重点教改项目资助项目(HNJG-2023-0147)
作者(Author): 刘全慧
DOI: 10.27024/j.wlygc.2025.12.29.04
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