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1. Vorticity and the first class of eigenvalue system associated with SU(2) group | |||
Zheng Ran | |||
Physics 16 November 2022 | |||
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Abstract:The concept of vorticity is central to many aspects of fluid dynamics. It is shown that the problem of defining a vortex in a real fluid could be discussed based on the associated quaternions. In this context and in the treatment of vortices in general, the concept of the associated SU(2) group plays such an essential role, meanwhile, in this letter, we construct the first class of eigenvalue system based on the SU(2) group associated with the vorticity in fluid dynamics. | |||
TO cite this article:Zheng Ran. Vorticity and the first class of eigenvalue system associated with SU(2) group[OL].[16 November 2022] http://en.paper.edu.cn/en_releasepaper/content/4758348 |
2. Vorticity and the Associated Quaternions | |||
Zheng Ran | |||
Physics 28 October 2022 | |||
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Abstract:In this letter we provide a quaternion expression of the most primary derived field in fluid motion, describing the local spatial variation of a velocity field, to measure the isotropic expansion and the rotation of fluid particles from a new point of view. | |||
TO cite this article:Zheng Ran. Vorticity and the Associated Quaternions[OL].[28 October 2022] http://en.paper.edu.cn/en_releasepaper/content/4758285 |
3. Quantum entanglement between two antiferromagnets in the microcavities | |||
YANG Xiaoxiao,WANG Tiejun,WANG Chuan | |||
Physics 02 April 2022 | |||
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Abstract:Magnons are being currently developed as qubits for quantum storage and information processing. Here, in this work, we focus on a hybrid quantum system containing two antiferromagnets, and entanglement between magnons in the antiferromagnets can be generated through strong coupling mediated by the same microwave mode. Moreover, we numerically simulate the process with feasible parameters. The influence of the system parameters, such as the magnon-photon coupling rate, detuning, bias magnetic field and dissipation of entanglement, are discussed. By adjusting some of the experimental parameters, we show that two antiferromagnets can produce a large entanglement, which is a result that has not been previously found in other quantum systems. Our findings may provide a potential platform for the completion of related quantum tasks in the future. | |||
TO cite this article:YANG Xiaoxiao,WANG Tiejun,WANG Chuan. Quantum entanglement between two antiferromagnets in the microcavities[OL].[ 2 April 2022] http://en.paper.edu.cn/en_releasepaper/content/4757286 |
4. Comment on Quantum private query with perfect user privacy against a joint-measurement attack | |||
Wu Yali,Sun Hongxiang | |||
Physics 22 March 2021 | |||
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Abstract:The quantum-key-distribution (QKD)-based quantum private query (QPQ) has become a research hotspot in recent years. Although such QPQ protocols are practical, joint-measurement (JM) attack is a noteworthy threat to the security of the database. Specifically, a malicious user can illegally obtain entries more than the average number of honest users from the database. Taking Jakobi et al.\'s protocol as an example, a malicious user can obtain up to 500 bits from a database of 10000 bits in one query instead of the expected 2.44 bits. In order to prevent JM attacks, Yang et al. proposed a novel classical post-processing against the JM attack. But after analysis, we found that there are security flaws in these protocols. It is impossible to achieve joint measurement resistance in the quantum private query agreement between the two parties only through a simple classical post-processing process. | |||
TO cite this article:Wu Yali,Sun Hongxiang. Comment on Quantum private query with perfect user privacy against a joint-measurement attack[OL].[22 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4754002 |
5. Reduced Fine Structure Constant, and A Calculation of Gravitational Radiation of Hydrogen Atom | |||
Yuan Xinxi | |||
Physics 23 June 2019 | |||
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Abstract:In this paper some speculated ideas are invented by analogy between gravity and electromagnetism. Analog to the relation between the fine structure constant and the Planck constant, planck constant of gravitational interaction is defined by the rest mass of the electron and the reduced fine structure constant. Then a recommended value of planck constant of gravitational interaction is given. If the definition is true, the reduced fine structure constant may be a common constant shared by gravitational and electromagnetic interactions. Based on the planck constant of gravitational interaction, main spectrum lines of Lyman series, Balmer series, and Paschen series of gravitational radiation of atomic Hydrogen are discussed, respectively. All the above ideas originate from a simple viewpoint that gravitational masses (the gravitational charges) should be invariant under Lorentz transformations. | |||
TO cite this article:Yuan Xinxi. Reduced Fine Structure Constant, and A Calculation of Gravitational Radiation of Hydrogen Atom[OL].[23 June 2019] http://en.paper.edu.cn/en_releasepaper/content/4749299 |
6. Observational relativity: bringing to light the essence of relativistic effects | |||
RUAN Xiaogang | |||
Physics 24 April 2018 | |||
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Abstract:This paper theoretically deduces the invariance of information-wave speed (IIWS) and the general Lorentz transformation (GLT) from the most basic physical properties, then establishes the theory of observational relativity (OR), and unifies Einstein\'s special relativity (SR) and de Broglie\'s matter-wave theory. More than 100 years ago, Einstein proposed the hypothesis of invariance of light speed (ILS) according to the Michelson-Morley experiment; then theoretically deduced the Lorentz transformation from ILS, established his SR, and brought to light the relativistic effects of matter motion. Up till today, however, people still don\'t know why the speed of light is invariant or cannot be exceeded, and why the photon has no rest mass. In fact, the Michelson-Morley experiment does not mean ILS, but does demonstrate an extremely important phenomenon in physical observation: the speed of information wave (IW) is observationally invariant. OR brings to light the cause of ILS formation, and elucidates the origin and essence of relativistic effects: all the relativistic effects are observational effects. OR suggests that, only if light works as IW, can ILS be valid as a special case of IIWS, and can Einstein\'s SR hold true as a partial theory of OR. OR strictly follows Bohr\'s correspondence principle:GLT reduces to Lorentz transfromation when the IW speed is the speed of light; GLT reduces to Galilean transformation if the IW speed is infinite. | |||
TO cite this article:RUAN Xiaogang. Observational relativity: bringing to light the essence of relativistic effects[OL].[24 April 2018] http://en.paper.edu.cn/en_releasepaper/content/4744495 |
7. Operator product formula for a special Macdonald function | |||
Wang Li-Fang,Wu Ke,Yang Jie | |||
Physics 29 November 2017 | |||
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Abstract:In this paper, we construct two sets of vertex operators $S_+$ and $S_-$ from a direct sum of two sets of Heisenberg algebras. Then by calculating the vacuum expectation value of some products of vertex operators, we get Macdonald function in special variables $x_i=t^{i-1}$ ($i=0, 1, 2, \cdots$). Hence we obtain the operator product formula for a special Macdonald function $P_{\lambda}(1, t, \cdots, t^{n-1}; q, t)$ when $n$ is finite as well as when $n$ goes to infinity. | |||
TO cite this article:Wang Li-Fang,Wu Ke,Yang Jie. Operator product formula for a special Macdonald function[OL].[29 November 2017] http://en.paper.edu.cn/en_releasepaper/content/4742463 |
8. 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 |
9. 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 |
10. 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 |
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