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We consider how variations in the moduli of the compactification manifold contribute `pdV' type work terms to the first law for Kaluza-Klein black holes. We give a new proof for the S1 case, based on ...
The first law for boosted Kaluza-Klein black holes     Both black hole kaluza-klein  thermodynamics  time and space       font style='font-size:12px;'> 2014/12/20
We study the thermodynamics of Kaluza-Klein black holes with momentum along the compact dimension, but vanishing angular momentum. These black holes are stationary, but non-rotating. We derive the fir...
A Killing bubble is a minimal surface that arises as the fixed surface of a spacelike Killing field. We compute the bubble contributions to the Smarr relations and the mass and tension first laws for ...
Einstein's relation E=Mc^2 between the energy E and the mass M is the cornerstone of the relativity theory. This relation is often derived in a context of the relativistic theory for closed systems wh...
In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle if and only if the physical mass $m$ of the scalar field and the dimension $n$ of the sp...
Klein-Gordon Equation in Hydrodynamical Form     Klein-Gordon Equation  Hydrodynamical Form       font style='font-size:12px;'> 2011/1/10
We follow and modify the Feshbach-Villars formalism by separating the Klein-Gordon equation into two coupled time-dependent Schr¨odinger equations for particle and antiparticle wave function componen...
The one-dimensional effective-mass Klein-Gordon equation for the real, and non-\textrm{PT}-symmetric/non-Hermitian generalized Morse potential is solved by taking a series expansion for the wave funct...
We study the thermalization of the classical Klein-Gordon equation under a u^4 interaction. We numerically show that even in the presence of strong nonlinearities, the local thermodynamic equilibrium ...
Every particle has its antiparticle. However, in most textbooks on quantum mechanics (QM), there is nearly no clear explanation for the wavefunction (WF) of antiparticle. Some times (and often implici...
The absence of backscattering in metallic nanotubes as well as perfect Klein tunneling in the potential barriers in graphene are explained by showing that both phenomena have a free particle dynamics...
We present a new step in the foundation of quantum field theory with the tools of scale relativity. Previously, quantum motion equations (Schr¨odinger, Klein-Gordon, Dirac, Pauli) have been derived as...
含时线性Klein-Gordon方程的解     K-G方程  不变量方法  含时K-G方程的解       font style='font-size:12px;'> 2009/11/19
把K-G方程通过变量代换化简成对时间一阶求导的形式,即薛定谔方程的形式. 然后运用不变量方法求解含时线性情况下K-G方程的解. 并讨论2种相关的情况:相对论非含时和非相对论含时情况下解的形式.
有势能尾巴的Klein-Gordon方程中的Levinson定理     Levinson定理  Klein-Gordon方程  有势能尾巴       font style='font-size:12px;'> 2009/8/11
当球对称势能函数存在势尾巴lim r2V(r)=b时, 用变形的Sturm-Liouville定理讨论Klein-Gordon方程解的性质, 证明了相应的Levinson定理.
一个八维Kaluza-Klein宇宙模型     宇宙标度因子  八维Kaluza-Klein宇宙模型       font style='font-size:12px;'> 2009/7/27
本文讨论了一个八维Kaluza-Klein宇宙模型.它不仅自洽地包含Georgi三族SU(11)大统一模型,而且得到了与观测宇宙一致的物理解.在这一模型中,通常四维的宇宙标度因子记作R3而额外维度的宇宙标度因子记作R4,它们的物理性质可分成四个阶段来描述.第一阶段,R3和R4都在膨胀;第二阶段,R3是一个inflation解而R4是个常数;第三阶段,R4开始坍缩到它的极小值,而R3继续单调地增加;...
在标量势和矢量势相等的情形, 研究了Rosen-MorseⅡ势的相对论效应, 应用超对称和形状不变势方法通过求解Klein-Gordon方程和Dirac方程得到了束缚态能量本征值, 最后, 讨论了Rosen-MorseⅡ势的一种特殊情况.

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