位置：成果数据库 > 期刊 > 期刊详情页
Spin-weighted spheroidal equation in the case of s =1
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O175.27[理学—数学;理学—基础数学] TQ424.1[化学工程]
  • 作者机构：[1]School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos. 10875018 and 10773002）.
作者： 孙越[1], 田贵花[1], 董锟[1]
关键词： 波方程, 球状, 加权, 自旋, 量子力学方法, 电磁辐射, 形状不变性, 一般形式, spheroidal wave equation, supersymmetric quantum mechanics, super-potential, eigenvalue and eigenfunction
中文摘要：

We present a series of studies to solve the spin-weighted spheroidal wave equation by using the method of super-symmetric quantum mechanics. We first obtain the first four terms of super-potential of the spin-weighted spheroidal wave equation in the case of s = 1. These results may help summarize the general form for the n-th term of the super-potential, which is proved to be correct by means of induction. Then we compute the eigen-values and the eigen- functions for the ground state. Finally, the shape-invariance property is proved and the eigen-values and eigen-functions for excited states are obtained. All the results may be of significance for studying the electromagnetic radiation processes near rotating black holes and computing the radiation reaction in curved space-time.

英文摘要：

We present a series of studies to solve the spin-weighted spheroidal wave equation by using the method of supersymmetric quantum mechanics. We first obtain the first four terms of super-potential of the spin-weighted spheroidal wave equation in the case of s ： 1. These results may help summarize the general form for the n-th term of the super-potential, which is proved to be correct by means of induction. Then we compute the eigen-values and the eigenfunctions for the ground state. Finally, the shape-invariance property is proved and the eigen-values and eigen-functions for excited states are obtained. All the results may be of significance for studying the electromagnetic radiation processes near rotating black holes and computing the radiation reaction in curved space-time.

同期刊论文项目
黑洞热力学、宇宙学及黑洞的可观测效应
期刊论文 76 著作 5
广义椭球函数重新研究与随机引力现象初探
期刊论文 34 会议论文 1
同项目期刊论文
Unthermal Hawking radiation from a general stationary black hole
Unthermal charged massive Hawking radiation from a Reissner-Nordstr?m black hole
Charged Dirac particles’ Hawking radiation from a Kerr-Newman black hole
Massive radiation via tunnelling in a BTZ black hole
Kerr和Kerr-Newman黑洞中的一般性隧穿辐射
带电BTZ黑洞一般性辐射的隧穿效应
General radiation via tunneling in Kerr and Kerr-Newman black holes
Damour-Ruffini method and Hawking radiation from a Garfinkle-Horowitz-Strominger dilatonic black hol
Modified Hawking radiation from a Kerr-Newman black hole due to back-reaction
Casimir effect of massive scalar field with hybrid boundary condition in 1+1 dimensional spacetime
Two-mode harmonic oscillator model of Reissner-Nordstr?m black hole
Thermodynamical properties of dark energy with the equation of state 
The relation between a black hole and a general black body system
Thermal radiation and nonthermal radiation of the slowly changing dynamic Kerr–Newman black hole
Schwarzschild-de Sitter时空的引力反常与霍金辐射
Corrected Hawking radiation from a charged rotating black string
The thermal radiation from dynamic black holes
圈量子引力与黑洞熵的量子化
Schwarzschild黑洞的力学模型及其量子化
Nernst theorem and Hawking radiation from a Reissner-Nordstrom black hole
Hawking radiation and thermodynamics of a Vaidya-Bonner black hole
Negative temperature of the inner horizon and Planck absolute entropy of a Kerr-Newman black hole
研究动态黑洞温度的新乌龟坐标
Where does Hawking radiation of a dynamical black hole come from
Tortoise coordinate and Hawking effect in a dynamical Kerr black hole
New method to solve the spheroidal wave equations
The ground state eigenfunction of the spheroidal wave function
Some properties of accelerating observers in the Schwarzschild space
Radiation Energy Flux and Radiation Power of Schwarzschild Black Hole
Information entropy for static spherically symmetric black holes
The generalized Stefan-Boltzmann's law of a rectilinearly non-uniformly accelerating Kinnersley blac
Barriola-Vilenkin黑洞Dirac场的广义Stefan-Boltzmann定律
静态球对称黑洞的热质点模型及辐射功率
动态Dilaton-Maxwell黑洞的广义Stefan-Boltzmann定律
球对称动态黑洞视界附近的瞬时辐射能通量及瞬时辐射功率
带有电荷、磁荷的一类任意加速黑洞的瞬时辐射能通量
Loop quantum gravity and black hole entropy quantization
Coordinates used in derivation of Hawking radiation via Hamilton-Jacobi method
A new model for the double well potential
Radiation energy flux of Dirac field of static spherically symmetric black holes
动态黑洞热辐射规律的研究
Coordinates problem of Hawking radiation derivation in a Kerr-Newman black hole using Hamilton-Jacob
Hawking radiation as tunneling from Garfinkle-Horowitz-Stromingen dilaton black hole
The dynamical model and quantization of the Schwarzschild black hole
Hawking radiation from a Vaidya black hole by Hamilton-Jacobi method
MOCVD反应器热流场的数值模拟研究
MOCVD反应器中流场和热场的数值研究
从乌龟坐标在动态Vaidya黑洞上的推广谈起
Brans-Dicke理论和f（R）理论中的可穿越虫洞
静态球对称黑洞热力学与爱因斯坦场方程
克尔黑洞的内视界隧道效应
静态球对称Dilaton-Maxwell黑洞的辐射能通量及辐射功率
光纤通信系统中的色散补偿研究
广义球对称带电静态黑洞的辐射能通量及辐射功率
广义球对称带电蒸发黑洞周围时空中标量粒子的能量
相对论教学中的若干问题
光速在相对论中的核心地位
广义相对论的几个问题
动态Dilaton-Maxwell黑洞周围时空中Dirac粒子的量子能级
一般静态球对称黑洞的Hawking隧穿辐射
Numerical studies on flow and thermal fields in MOCVD reactor
Schwarzschild黑洞的一种量子力学模型——玻色谐振子模型
Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method
Low frequency asymptotics for the spin-weighted spheroidal equation in the case of s = 1/2
Analytic solutions of the ground and excited states of the spin-weighted spheroidal equation in the case of s=2
Verification of the spin-weighted spheroidal equation in the case of s=1
The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
s =2时广义椭球函数试探性研究
Can all the recurrence relations for spherical functions be extended to spheroidal functions
The analytic solutions of the ground and excited state for the spin-weighted spheroidal equation in
Spin-weighted spheroidal equation in the case of s=1，
New method to solve the spheroidal wave equations，
Ground eigenvalue and eigenfunction of a spin-weighted spheroidal wave in low frequencies
Low frequenc asymptotics for the spin-weighted spheroidal equation in the case of s=1/2
Ground state eigenfunction of the spheroidal wave function
Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersym
New WKB method in Super-symmetry quantum mechanics
Spin-weighted spheroidal equation in the s=1
在s=3/2情形下利用超对称量子力学方法解广义椭球函数
关于c很小，自旋为零时带权椭球波动方程，
m=s=0时的椭球波动方程数值求解
Numerical studies on flow and thermal fields in MOCVD reactor， 55, No. 6, 2010, 560-566.
Hawking radiation from the cosmological horizon in a FRW universe
The Recurrence Relations for the Spheroidal Functions，Science China
MOCVD反应器中流场和热场的数值研究
Numerical studies on flow and thermal fields in MOCVD reactor
Coherent Preservation of Two-Qubit Quantum Entanglement in the Strong Coupling Region
Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method
Low frequency asymptotics for the spin-weighted spheroidal equation in the case of s = 1/2
New WKB method in supersymmetry quantum mechanics
Analytic solutions of the ground and excited states of the spin-weighted spheroidal equation in the case of s=2
Verification of the spin-weighted spheroidal equation in the case of s=1
Solving the spin-weighted spheroidal wave equation
Evolution of entanglement between qubits ultra-strongly coupling to a quantum oscillator
期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:406