Kerr时空中任意自旋的统一场方程的退耦和分离变量

通过微扰与退耦计算得到,在Kerr时空中对于静止质量为零、自旋为任意值的粒子场,所有场分量都能退耦,再采用Kinnersley零标架证明:只有中微子场的两个分量和电磁场的两个分量可以分离变量。     

Kerr-Newman-de Sitter时空中荷电Dirac粒子的Hawking辐射

本文用旋量零标架方法研究Kerr-Newman-de Sitter时空中荷电粒子的Dirac方程,先构造对称零标架,计算旋系数,然后导出Dirac方程。在视界附近解Dirac方程,得到荷电Dirac粒子的四分量波函数。本文只研究黑洞视界曲面r_ 和宇宙视界曲面r_( )上的Hawking辐射。     

THERMAL PROPERTIES OF KERR-NEWMAN-DE SITTER XY BLACK HOLES

Hawking radiation of scalar particles of Kerr-Newman-de Sitter XY (KNdSXY) black holes is studied by using complex analytical continuation (CAC) technique. We derive the surface gravity κ_h,κ_c and Hawking temperature T_b,T_c of the event horizons r₊,r₊₊. All of them are proportional to (|A|)^1/2, where A is an indefinite multiple of KNdSXY metric.     

Kerr-Newman-de Sitter时空标量粒子的Hawking辐射

本文用解析延拓方法讨论Kerr-Newman-de Sitter时空标量粒子的Hawking辐射,所得视界曲面上的重力加速度k和温度T的表式与[1]一样。     

负有效质量载流子的迴旋共振

锗、硅的重空穴带的等能面是一扭曲的球面。如选定坐标轴与晶体主轴方向一致,在坐标轴附近一定立体角内的空穴,其横向(即与轴垂直方向)的有效质量是负的。如图1所示。G.C.Dousmanis等曾经研究过这部分载流子在纵向磁场下的迴旋共振,实验结果如图2所示。在相应于负有效质量载流子的共振处,吸收曲线上显著地下凹。     

一个避免奇点的振荡式反弹宇宙模型

对于K>0的经典Friedmann时空(有奇点),求其共形不变的能动张量的反常迹(相应于背景时空真空涨落的单圈项)和经典作用量Γ₀的量子修正项Γ₁,从而导出了一个半经典的Einstein场方程.选用合理的边界条件,解此方程,得到了一个能够避免奇点的、时间对称的振荡式反弹的宇宙解.     

Friedmann时空的一般场方程

K= 1的Friedmann宇宙的度规为 ds~2=dt~2-a~2(t)[dx~2 sin~2x(dθ~2 sin~2θdφ~2)] (1) 由(1)可构造零标架 l_μ=1/2~(1/2)(1,a,0,0) n_μ=1/2~(1/2)(1, a,0,0) (2) m_μ=1/2~(1/2)(0,0,asinx,-iasinxsinθ) (?)=1/2~(1/2)(0,0,asinx,-iasinxsinθ) (2)满足 由度规、零标架和第二类Christoffel符号,按Newman和Penrose文章(以下简称NP文章)的(4.1a)式求得旋系数如下:     

CALCULATION OF α_3 COEFFICIENT OF SCALAR FIELD BY POINT SEPARATION METHOD

The α_3 coefficient of scalar field in arbitrary Riemann space-time background is calculated by point separation method in this article. The primary expression of α_3 involves 25 invariants. Using the identities derived in the appendix, we can reduce α_3 from 25 invariants to 17 invariants which agree with Gilkey's formula for α_s coefficient of the scalar field derived by geometric methods and reasons. Recently we derived two important invariant identilies, using these identities we can reduce α_3 from 17 invariants to 15 invariants which would much simplify the calculation of the energymomentum tensor of vacuum polarization.     

用旋量零标架方法计算氢原子能级

本文用旋量零标架方法计算相对论性氢原子能级,所得结果与Γ矩阵方法算得的结果一样,但不明显地使用任何对易关系。 关键词：     

ASYMPTOTIC EXPANSION OF GREEN FUNCTION OR HEAT KERNEL IN SPACE WITH TORSION

An algorithm for asymptotic expansion of Green function or heat kemel in space with torsion is proposed. The De Witt-Seeley-Gilkey coeffcient E₂(x) is calculated.