量子电子的经典轨道和黑洞熵的微观起源  

CLASSIC ORBIT OF QUANTUM ELECTRON AND THE ORIGIN OF BLACK HOLE ENTROPY

作　　者：孙宇轩 曾定方[1] SUN Yuxuan;ZENG Dingfang(Faculty of Science,Beijing University of Technology,Beijing 100124)

机构地区：[1]北京工业大学理学部,北京100124

出　　处：《物理与工程》2023年第3期103-114,共12页Physics and Engineering

基　　金：国家自然科学基金NSFC-11875082的支持。

摘　　要：平方反比力驱动的一维振荡问题出现在物理学中两个非常重要的场合,即氢原子电子波函数的经典轨道解读和自引力塌缩球体的牛顿力学描述。流行观点认为这两个场合分别牵涉到“轨道概念不真实”和“牛顿力学不适用”的因素而放弃了对这个问题的深入探讨。本文指出,氢原子电子的经典轨道不仅真实而且对我们从根本上理解黑洞拥有非平庸内部结构和面积律特征的熵有非常重要的帮助。依赖于对量子化波函数的经典解释,这种内部结构可以理解为黑洞内容物在视界内以原点为中心的对穿振荡模式,也可以理解为它们在无视视界面内部体积的带洞空间中以视界面为边界的对穿振荡模式。The question of one-dimensional oscillation driven by inverse square forces arises in two important scenarios in physics:the classical orbital interpretation of hydrogen atom elec-tron wave functions and the Newtonian mechanical description of self-gravitating collapsing spheres.The popular viewpoint suggests that these two scenarios involve issues of“unrealistic orbital concepts”and“inapplicability of Newtonian mechanics”respectively,leading to a lack of in-depth exploration of this problem.This paper argues that the classical orbits of hydrogen at-om electrons are not only real but also crucial in fundamentally understanding the area law featured entropy of black holes and their nontrivial internal structures.Depending on the classical interpreta-tion of quantized wave functions,this internal structure can be understood as oscillatory modes of black hole matter contents over crossing the central point,or as oscillatory modes of those matters across the horizon surface itself with the inner space cut out completely.

关 键 词：平方反比力场 奇异振荡 量子现象的经典对应 广义相对论的牛顿对应 

分 类 号：O413[理学—理论物理]