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1. The relating geometry in Special Relativity | |||
Zheng-chen Liang,Bao-guo Hao | |||
Physics 19 May 2017 | |||
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Abstract:Based on the abundant properties of Minkowski spacetime $mathcal{M}$ in Special Relativity, here we create a geometric structure in fiber-bundle language which relates the tangent bundle $mathcal{TM}$ to Cartan subalgebra $mathfrak{h}$ of the gauge Lie algebra $mathfrak{g}$ of connected compact Lie group $G$. In the relating geometry, the structural group of principal bundle $P$ is the quotient group $G_Sigma=G/H$ by a maximum torus subgroup $H$, while the positive-definite Cartan subalgebra $mathfrak{h}$ with an Exponential Map to $H$ holds the bundle of $mathfrak{q}_x=mathcal{T}_xmathcal{M}oplusmathfrak{h}$. If the bundle of $mathfrak{q}_x$ is trivial over $mathcal{M}$, a relater $t_lpha^{ eta}$ for the Maurer-Cartan connection 1-form of $mathcal{M}$ can be solved when $ ext{dim} H=4$. The geometry has an instant application to classical observations on massive particles. It provides the modification with a Variable-Speed-of-Light (VSL) derived from the Clifford values in $mathfrak{q}_x$ and the associative bundle $mathfrak{E}_x$. | |||
TO cite this article:Zheng-chen Liang,Bao-guo Hao. The relating geometry in Special Relativity[OL].[19 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4728382 |
2. A complete classification of trajectories in Schwarzschild spacetime from the exit cone perspective | |||
Xionghui Liu,Junji Jia | |||
Physics 09 May 2017 | |||
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Abstract:The exit cone of massless and massive particles in Schwarzschild spacetime is considered. Explicit and general formula for the cone direction is computed as a function of the initial velocity and initial radius. It is shown that for massless particles, the cone size will increase smoothly from 0 to $pi$ as the initial radius goes from $2M$ to $infty$. The usual photon sphere located at $r=3M$ is just where the exit cone equals $pi/2$, as it should be. For massive particles, unlike the massless particles, it can be show that there exist regions in the initial velocity-initial radius parameter space that the particle cannot escape at all. For other regions where an nonzero escape cone angle exits, for the same initial velocity, similar to the massless case, this angle will increase from some 0 to $pi$ as the initial radius increases from some critical values to infinity. | |||
TO cite this article:Xionghui Liu,Junji Jia. A complete classification of trajectories in Schwarzschild spacetime from the exit cone perspective[OL].[ 9 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4732242 |
3. Long-range interacting spin-1 chains: phase diagram and thermodynamic properties | |||
HOU Jixuan | |||
Physics 24 April 2017 | |||
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Abstract:The long-range interacting spin-1 chain placed in a staggered magnetic field is studied by means of microcanonical approach. Firstly, we study the microcanonical entropy of the system and find the system is nonergodic and can exhibit either first order phase transition or second order phase transition by shifting the external magnetic field strength. Secondly, we construct the the global phase diagram of the system and find a phase transition area in the phase diagram corresponding to the temperature jump of the first order phase transition. | |||
TO cite this article:HOU Jixuan. Long-range interacting spin-1 chains: phase diagram and thermodynamic properties[OL].[24 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4728667 |
4. Contributions of $W^prime$ in non-universal and un-unified $221$ models to the radiative leptonic decays of heavy mesons | |||
ZUO Ya-Bing,YUE Chong-Xing,YANG Wei,CHEN Yan,HAO Yan-Nan | |||
Physics 21 April 2017 | |||
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Abstract:In the present work, the contributions of heavy gaugeboson $W^prime$ in non-universal and un-unified $221$ models to theradiative leptonic decays of charged $B$ and $D$ mesons are studied with the constraints on modelparameters from the latest experimental data considered. It is found that thecorrections of $W^prime$ in the non-universal $221$ model to thedecays $B^- ightarrow gamma mu^- ar{ u}_mu$ and $B^- ightarrow gamma au^- ar{ u}_ au$ can reach to about$8 %$ in the up-quark mixing scenario, which may be tested by moreprecise experiments such as LHCb, BelleII in the future. Incontrast, the corrections of $W^prime$ in the un-unified $221$model to the radiative leptonic decays of charged $B$ and $D$ mesonsare very tiny. | |||
TO cite this article:ZUO Ya-Bing,YUE Chong-Xing,YANG Wei, et al. Contributions of $W^prime$ in non-universal and un-unified $221$ models to the radiative leptonic decays of heavy mesons[OL].[21 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4726355 |
5. Cover Times in Vibrated Granular Matter | |||
Ke Cheng,Jia-Qi Dong,Liang Huang,Lei Yang | |||
Physics 19 April 2017 | |||
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Abstract:This article provides a experimental verification of cover times distribution theory. In real systems, due to the boundary conditions, driving mode and the granular mixtures, the particle's diffusions are usually different from several classic random walks. In this article we investigate two types of granular diffusion: the Brownian motion and the unusual diffusion. We found that the particle's cover time distribution will be affected by boundary effects, and we develop a boundary cutting method to remove that impact. It is observed that the full cover times distribution of super-diffusion and Brownian motion are suitable for the theoretical result in the long-time covering process, but in the short-time covering process, there is a deviation. We think this deviation is due to the long-time approximation. | |||
TO cite this article:Ke Cheng,Jia-Qi Dong,Liang Huang, et al. Cover Times in Vibrated Granular Matter[OL].[19 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725348 |
6. Simplicity Constraints of Spinfoam Models | |||
DING You | |||
Physics 11 April 2017 | |||
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Abstract:To give a mathematically rigorous path of obtaining Engle-Pereira-Rovelli-Livine spinfoam model, the implementation of simplicity constraints on the BF model is studied. In a simple way the boundary Hilbert space of the theory is defined; then it is shown directly that all constraints vanish on this space in a weak sense. It is pointed out that the general solution to this constraint (imposed weakly) depends on a quantum number in addition to those of loop quantum gravity. Finally, this construction is also generalized to Kami'nski-Kisielowski-Lewandowski version where the foam is not dual to a triangulation. It is shown that this theory can still be obtained as a constrained BF theory satisfying the simplicity constraint, now discretized on a general oriented 2-cell complex. | |||
TO cite this article:DING You. Simplicity Constraints of Spinfoam Models[OL].[11 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4724865 |
7. Explanation of the duality of the light (wave and photon) by using the mutual energycurrent composed of retarded & advanced potentials | |||
ZHAO Shuang-ren,Kevin Yang,Kang Yang,Xingang Yang,Xintie Yang | |||
Physics 19 November 2016 | |||
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Abstract:It is shown that the Lorentz reciprocity theorem is inadequate toan antenna system with a transmitter and receiver. The correct methodshould be to apply the mutual energy theorem. In the mutual energytheorem, an receiver can send an advanced potential. The mutual energycurrent is a inner product of a retarded potential and an advancedpotential. It is shown that the energy current corresponding to the Poynting vector does not transfer any energy. That means the mutual energy is the only one which can transferthe energy in the free space. It is shown that the mutual energy hasthe property of the photon and wave. This explained that why lightlooks like wave and also particles. The concept of mutual energy currentcomposed of retarded potential and advanced potential also offersa re-explanation for the probability in quantum physics. As a applicationof this theory, the method how to transfer time-reversed or superluminal signal usingadvanced potential is introduced. The reason why a action and reactioncan be done in 0 time with remote distance is also discussed. | |||
TO cite this article:ZHAO Shuang-ren,Kevin Yang,Kang Yang, et al. Explanation of the duality of the light (wave and photon) by using the mutual energycurrent composed of retarded & advanced potentials[OL].[19 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4706619 |
8. Role of a single-mode cavity field in Ramsey interference of a double-well Bose-Einstein condensate | |||
LI Sheng-Chang,DOU Fu-Quan | |||
Physics 14 November 2016 | |||
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Abstract:We study the effect of a single-mode cavity field on the Ramsey interference of a Bose-Einstein condensate in a double-well potential. Based on a mean-field model, we analytically calculate the period of the atomic Ramsey fringes and confirm it by numerical simulations. We show that the period of the fringes is sensitive to both the cavity-pump detuning and the choice of the initial state. In particular, when a weak holding field is introduced, we find that the fringes characterized by the oscillation of the intra-cavity photon number can completely reflect the atomic interference information. This finding suggests a nondestructive observation of the atomic interference fringes via the cavity-field transmission spectra. | |||
TO cite this article:LI Sheng-Chang,DOU Fu-Quan. Role of a single-mode cavity field in Ramsey interference of a double-well Bose-Einstein condensate[OL].[14 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4710232 |
9. Antenna calculation in lossy media with mutual energy theorem | |||
ZHAO Shuang-ren,Kevin Yang,Kang Yang,Xingang Yang,Xintie Yang | |||
Physics 10 November 2016 | |||
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Abstract:Antenna system with at least one receive antenna is studied. The resultsand explanations of the reciprocity theorem and the mutual energytheorem are compared. Both the reciprocity theorem and mutual energytheorem can obtained similar results for the directivity diagram ofreceive antenna, but the conditions of the theorems established aredifferent. The mutual energy theorem is established in lossless media,the reciprocity theorem is established in symmetric media. Since theempty space is lossless and symmetric media, hence in empty spaceboth theorems are established. The explanations of the two theoriesare quite different. In the reciprocity theorem both transmitter andreceiver send retarded potentials. In the mutual energy theorem thetransmitter sends retarded potential and the receiver sends advancedpotential. This article studies the case where the media is lossy.Assume the media is still symmetric, hence the reciprocity theorem still established.The same result can be obtained by the reciprocity theorem comparedto the case where the media is lossless. For the mutual energy theoremit is not established in lossy media. However it can be extended tolossy media with a energy lossy item. From mutual energy theorem wecan obtained a correct result that the energy sends out by the transmitterequals to the energy loss on the media pluses the received energyof the receiver. Hence the extended mutual energy theorem can offercorrect result and the reciprocity theorem cannot. The result of this articlecan be further tested by a transmitter and receiver antenna in saltwater. If the mutual energy theorem wins that is not only offer amethod for antenna calculation in lossy media, but also further supportsthe absorber theory of Wheeler and Feynman, and the transactionalinterpretation for quantum physics and hence is very meaningful. | |||
TO cite this article:ZHAO Shuang-ren,Kevin Yang,Kang Yang, et al. Antenna calculation in lossy media with mutual energy theorem[OL].[10 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4706329 |
10. Nonlinear Ramsey interference of a Bose-Einstein condensate in an optical cavity | |||
LI Sheng-Chang,DOU Fu-Quan | |||
Physics 02 November 2016 | |||
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Abstract:We propose a feasible scheme to realize nonlinear Ramsey interferometer that uses a Bose-Einstein condensate in an optical cavity, where the nonlinearity arises both from the mean-field treatment of the coherent atomic interaction and the atom--cavity-filed coupling. We present numerical simulations to study the effects both of the cavity-pump detuning and the initial state on the Ramsey interference fringes in the time domain. We find that both the modification to the fringe's period induced by the atom--cavity-field coupling and the visibility of the Ramsey fringes strongly depend on the choice of the initial state. | |||
TO cite this article:LI Sheng-Chang,DOU Fu-Quan. Nonlinear Ramsey interference of a Bose-Einstein condensate in an optical cavity[OL].[ 2 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4709042 |
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