黑洞准正则模的量子力学类比存在吗?  

Does quantum mechanical analogy of quasi-normal modes in black hole physics exist?

作　　者：何孝凯[1] 曹周键 HE Xiao-kai;CAO Zhou-jian(School of Mathematics and Statistics,Hunan First Normal University,Changsha,Hunan 410205,China;Department of Astronomy,Beijing Normal University,Beijing 100875,China)

机构地区：[1]湖南第一师范学院数学与统计学院,湖南长沙410205 [2]北京师范大学天文系,北京100875

出　　处：《大学物理》2023年第6期17-20,共4页College Physics

基　　金：湖南省青年骨干教师专项经费的资助;中央高校基本科研业务费专项资金资助。

摘　　要：随着引力波探测和黑洞事件视界望远镜观测的突破性研究进展,黑洞的准正则模引起了人们新一轮的研究热潮.黑洞准正则模从数学形式上被众多文献称之为定态薛定鄂方程的复频率本征函数.文献的此种表述容易给读者一个误解,以为准正则模的概念是从薛定鄂方程,或者说量子力学导出来的.本文将分析指出,量子力学中不存在类比于黑洞准正则模的波函数.本文将澄清相关的物理概念和物理图像,并指出准正则模是具有耗散特性的波动方程的物理行为.With the breakthrough research progress of gravitational wave detection and telescope observation of black hole event horizon,the quasi-normal mode of black hole has caused a new round of research upsurge.The quasi-normal mode of black hole is described as the eigenfunction of time independent Schrodinger equation with complex frequency by many literatures.Such description leads readers to a misunderstanding that the concept of quasi-normal mode comes from the Schrodinger equation,or quantum mechanics.The current paper will analyze this issue and point out that there is no quantum mechanical analogous to the quasi-normal mode of black hole.We clarify the relevant physical concepts and point out that quasi-normal modes are the physical behavior of wave equations admitting dissipation characteristics.

关 键 词：黑洞 引力波 准正则模 量子力学 耗散系统 

分 类 号：O4-1[理学—物理]