Scattering state and bound state of scalar field in Schwarzschild spacetime: Exact solution

被引：16
作者：
Li, Wen-Du [1 ,2 ]
Chen, Yu-Zhu [1 ,2 ]
Dai, Wu-Sheng [2 ]
机构：
[1] Nankai Univ, Chern Inst Math, Theoret Phys Div, Tianjin 300071, Peoples R China
[2] Tianjin Univ, Dept Phys, Tianjin 300350, Peoples R China
来源：
ANNALS OF PHYSICS | 2019年 / 409卷
关键词：
Schwarzschild spacetime; Scalar field; Scattering state; Bound state; COVARIANT PERTURBATION-THEORY; MASSIVE DIRAC FIELDS; BLACK-HOLE; HAWKING RADIATION; FREQUENCIES; WAVES;
D O I：
10.1016/j.aop.2019.167919
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The main aim of this paper is twofold. (1) Exact solutions of a scalar field in the Schwarzschild spacetime are presented. The exact wave functions of scattering states and bound-states are presented. Besides the exact solution, we also provide explicit approximate expressions for bound-state eigenvalues and scattering phase shifts. (2) By virtue of the exact solutions, we give a direct calculation for the discontinuous jump on the horizon for massive scalar fields, while in literature such a jump is obtained from an asymptotic solution by an analytic extension treatment. (C) 2019 Elsevier Inc. All rights reserved.
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页数：17
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