College Physics ›› 2023, Vol. 42 ›› Issue (6): 17-.doi: 10.16854 /j.cnki.1000-0712.220395

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

HE Xiao-kai1, CAO Zhou-jian2   

  1. 1. School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, China; 2. Department of Astronomy, Beijing Normal University, Beijing 100875, China
  • Received:2022-08-08 Revised:2022-09-14 Online:2023-07-01 Published:2023-07-06

Abstract: 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.


Key words:  black hole, gravitational wave, quasi-normal mode, quantum mechanics, dissipated system