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I will report my recent joint work with Jacek Jendrej on muti-solitons to the Klein-Gordon equations including their asymptotic stability and classification.
We study the nonrelativistic limit of the cubic Klein-Gordon equations. We show the cubic Klein-Gordon equation converges to the cubic Schr\"odinger equation with a convergence rate of order $\epsilon...
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 ...
2014年10月15日,以色列威兹曼科学院(Weizmann Institute of Science)Jacob Klein教授应邀访问化学所,并作题为“Macromolecular Synergy in Joints: A New Model for Biological Lubrication”的分子科学前沿讲座报告,报告由王毅琳研究员主持,张德清所长为Klein教授颁发了“分子科学前沿讲座...
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.

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