ON A QUANTUM-MECHANICAL MODEL OF A BLACK-HOLE

被引:23
作者
BEREZIN, VA
机构
[1] OBSERV PARIS,DARC,F-92195 MEUDON,FRANCE
[2] CNRS,UPR 176,F-92195 MEUDON,FRANCE
关键词
D O I
10.1016/0370-2693(90)91277-I
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A quantum mechanical model of a Schwarzschild black hole is constructed. This model is based on the simplest classical model, namely, a spherical thin dust shell as a source for a black hole mass. Such a mechanical system has only one degree of freedom which is quantized. The Klein-Gordon-type equation obtained exhibits some interesting features. This equation is an equation in finite differences and not a differential equation. There are nonlocalities near the singularities (r = 0) and at the horizon. For the large black holes this equation can be approximated by an ordinary differential equation, which has one solution in the interior regions of a black hole. This is an ingoing wave in the collapse region and an outgoing wave in the anticollapse regions. An approximate expression for the bound states is obtained. © 1990.
引用
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页码:194 / 200
页数:7
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