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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...
Extended Hamilton's principle     Extended Hamilton's principle  Mathematical Physics       font style='font-size:12px;'> 2012/4/18
Hamilton's principle is extended to have compatible initial conditions to the strong form. To use a number of computational and theoretical benefits for dynamical systems, the mixed variational formul...
On quantum Huygens principle and Rayleigh scattering     quantum Huygens principle  Rayleigh scattering  ionization       font style='font-size:12px;'> 2012/2/29
We prove several minimal photon velocity estimates below the ionization threshold for a particle system coupled to the quantized electromagnetic or phonon field. Using some of these results, we prove ...
Selection of measure and a Large Deviation Principle for the general XY model.
Abstract: Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and black hole p...
The Balian-V´en´eroni (BV) variational principle, which optimizes the evolution of the state ac-cording to the relevant observable in a given variational space, is used at the mean-field l...
2004Vol.42No.3pp.443-452DOI: Difference Discrete Variational Principle in Discrete Mechanics and Symplectic Algorithm LUO Xu-Dong,1 GUO Han-Ying,2 LI Yu-Qi,2 and WU Ke3 ...

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