共查询到20条相似文献,搜索用时 31 毫秒
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参照在Minkowski时空中,从粒子的相对论性经典理论过渡到量子理论,建立标量粒子和旋量粒子的相对论性波动方程的方案,在Beltrami-de Sitter时空中建立了de Sitter不变的标量粒子和旋量粒子的相对论性量子力学的基本方程,它们恰恰分别是Beltrami-de Sitter时空中的Klein-Gordon方程和Dirac方程。在Beltrami-anti de Sitter时空的同时类空超曲面簇上求解了这些方程,得到了分立的本征值和相应的本征函数。
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In the framework of open quantum systems, we study the internal dynamics of both freely falling and static two-level atoms interacting with quantized conformally coupled massless scalar field in de Sitter spacetime. We find that the atomic transition rates depend on both the nature of de Sitter spacetime and the motion of atoms, interestingly the steady states for both cases are always driven to being purely thermal, regardless of the atomic initial states. This thermalization phenomenon is structurally similar to what happens to an elementary quantum system immersed in a thermal field, and thus reveals the thermal nature of de Sitter spacetime. Besides, we find that the thermal baths will drive the entanglement shared by the freely falling atom (the static atom) and its auxiliary partner, a same two-level atom which is isolated from external fields, to being sudden death, and the proper time for the entanglement to be extinguished is computed. We also analyze that such thermalization and disentanglement phenomena, in principle, could be understood from the perspective of table-top simulation experiment. 相似文献
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We show that the quantum universe emerging from a nonperturbative, Lorentzian sum over geometries can be described with a high accuracy by a four-dimensional de Sitter spacetime. By a scaling analysis involving Newton's constant, we establish that the linear size of the quantum universes under study is in between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum fluctuations around the de Sitter universe in this regime are to good approximation still describable semiclassically. The numerical evidence presented comes from a regularization of quantum gravity in terms of causal dynamical triangulations. 相似文献
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We study the behaviour of Dirac current in expanding spacetime with Schrödinger and de Sitter form for the evolution of the scale-factor. The study is made to understand the particle-antiparticle rotation and the evolution of quantum vacuum leading to particle production in such spacetime. 相似文献
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Considering the relationship between the black hole horizon and the cosmological horizon, the thermodynamic property of the charged de Sitter spacetime is discussed. The effective temperature and energy are obtained. The result shows that the upper limit of the energy in the charged de Sitter spacetime is just the energy in the pure de Sitter spacetime. The thermal capacity of the charged de Sitter spacetime is positive, thus satisfying the thermal stability condition. 相似文献
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In this paper we try to explore the possible contact between quantum gravity and the least mass of a charged particle in de
Sitter spacetime. The effect of Generalized Uncertainty Principle (GUP) on the thermodynamics of de Sitter spacetime is discussed
in a heuristic manner. We find a maximal entropy/probability that corresponds to the absence of charge of a massless particle.
Furthermore, the holographic principle provides a possible lower limit to the mass of a charged particle.
PACS Numbers: 04.70.Dy, 04.70.-s, 98.80.Es. 相似文献
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Haryanto M. Siahaan 《中国物理C(英文版)》2023,47(3):035105-035105-10
We study a charged Taub-NUT spacetime solution in the Dvali-Gabadadze-Porrati (DGP) brane. We show that the Reissner-Nordstrom-Taub-NUT-de Sitter solution of Einstein-Maxwell gravity solves the corresponding equations of motion, where the cosmological constant is related to the cross-over scale in the DGP model. Following the approach by Teitelboim in discussing the thermodynamics of de Sitter spacetime and the proposal by Wu et al. for a conserved charge associated with the NUT parameter, we obtain the generalized Smarr mass formula and the first law of thermodynamics of the spacetime. 相似文献
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A quantum universe with the global shape of a (Euclidean) de Sitter spacetime appears as dynamically generated background geometry in the causal dynamical triangulation (CDT) regularisation of quantum gravity. We investigate the micro- and macro-geometry of this universe, using geodesic shell decompositions of spacetime. More specifically, we focus on evidence of fractality and global anisotropy, and on how they depend on the bare coupling constants of the theory. 相似文献
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The quantum entropies due to the scalar and Dirac fields are investigated in a pure de Sitter spacetime. The leading divergent terms in both cases are regularized by the Pauli-Villars scheme. It is shown that the explosive entropies can be renormalized according to the Bekenstein-Hawking formula. 相似文献
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CHEN Shaoxia & CHANG Zhe Institute of High Energy Physics Chinese Academy of Sciences Beijing China Graduate School of Chinese Academy of Sciences Beijing China 《中国科学G辑(英文版)》2005,48(1):44-56
Recent astronomical observations manifest that about two-thirds of the whole energy in the Universe is contributed by a small positive cosmological constant A (> 0). Then, an asymptotically de Sitter spacetime is premised naturally. However, physics in the de Sitter spacetime is very different from that in the Minkowski spacetime. As the first step, a covariant formalism of the kinematics in the de Sitter spacetime is presented here. By solving exactly the equations of motion for a field, we obtain the dispersion relation of a free particle. It is noticed that the dispersion relation is dependent on the degree of freedom of angular momentum of the particle. We show the threshold anomaly of the ultra high energy cosmic ray disappears naturally in the framework of the de Sitter kinematics. 相似文献
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Reissner–Nordstrom de Sitter spacetime with photon rest mass is studied. An iteration method is used to get the metric of this spacetime. In the case of μ → 0, the solution will return to the common Reissner–Nordstrom de Sitter spacetime. 相似文献
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We recently constructed the R-Poincaré algebra from an appropriate deformed Poisson brackets which reproduce the Fock coordinate transformation. We showed then that the spacetime of this transformation is the de Sitter one. In this paper, we derive in the R-Minkowski spacetime the Dirac equation and show that this is none other than the Dirac equation in the de Sitter spacetime given by its conformally flat metric. Furthermore, we propose a new approach for solving Dirac’s equation in the de Sitter spacetime using the Schrödinger picture. 相似文献
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The de Sitter spacetime is transitive under a combination of translations and proper conformal transformations. Its usual
family of geodesics, however, does not take into account this property. As a consequence, there are points in de Sitter spacetime
which cannot be joined to each other by any one of these geodesics. By taking into account the appropriate transitivity properties
in the variational principle, a new family of maximizing trajectories is obtained, whose members are able to connect any two
points of the de Sitter spacetime. These geodesics introduce a new notion of motion, given by a combination of translations
and proper conformal transformations, which may possibly become important at very-high energies, where conformal symmetry
plays a significant role. 相似文献
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Ana-Camelia?P?rghie Ciprian?Dariescu Marina-Aura?Dariescu 《International Journal of Theoretical Physics》2010,49(1):98-109
Projecting the closed form expression of the de Sitter scalar field operator onto the Minkowskian positive frequency massless
modes, we compute the corresponding Bogolubov coefficient which is associated to the (massless) quasiparticle creation during
the stationary quasi-de Sitter stage of the Universe. Thereafter, we derive the expression of the thermalized energy density
which reveals an interesting mixture of de Sitter false vacuum and dark-radiation, exotic dust and black body radiation. Setting
the temperature to the value of the Hawking one for the de Sitter spacetime, we finally analyze the (straightforward) back-reaction
of the newly created “matter” on the scale function. It basically points out three stages of highly continuous evolution represented
by an initially short radiation-like era, a somewhat long-lasting connecting phase made of coherent massless oscillations,
in its beginnings, ended up by the dark-radiation (i.e. curvature-like term) contribution and, finally, a much slower exponential
expansion than the initial de Sitter one. 相似文献
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Thomas Zannias 《General Relativity and Gravitation》2018,50(10):134
The causal properties of the family of Kerr-de Sitter spacetimes are analyzed and compared to those of the Kerr family. First, an inextendible Kerr-de Sitter spacetime is obtained by joining together Carter’s blocks, i.e. suitable four dimensional spacetime regions contained within Killing horizons or within a Killing horizon and an asymptotic de Sitter region. Based on this property, and leaving aside topological identifications, we show that the causal properties of a Kerr-de Sitter spacetime are determined by the causal properties of the individual Carter’s blocks viewed as spacetimes in their own right. We show that any Carter’s block is stably causal except for the blocks that contain the ring singularity. The latter are vicious sets, i.e. any two events within such block can be connected by a future (respectively past) directed timelike curve. This behavior is identical to the causal behavior of the Boyer–Lindquist blocks that contain the Kerr ring singularity. These blocks are also vicious as demonstrated long ago by Carter. On the other hand, while for the case of a naked Kerr singularity the entire spacetime is vicious and thus closed timelike curves pass through any event including events in the asymptotic region, for the case of a Kerr-de Sitter spacetime the cosmological horizons protect the asymptotic de Sitter region from a-causal influences. In that regard, a positive cosmological constant appears to improve the causal behavior of the underlying spacetime. 相似文献
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ZHAO Ren ZHANG Li-Chun HU Shuang-Qi 《理论物理通讯》2006,46(10)
We generalize the method that is used to study corrections to Cardy-Verlinde formula due to generalized uncertainty principle and discuss corrections to Cardy-Verlinde formula due to generalized uncertainty principle in (anti)-de Sitter space. Because in de Sitter black hole spacetime the radiation temperature of the black hole horizon is different from the one of the cosmological horizon, this spacetime is a thermodynamical non-equilibrium spacetime. 相似文献
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ZHAO Ren ZHANG Li-Chun HU Shuang-Qi 《理论物理通讯》2006,46(4):635-638
We generalize the method that is used to study corrections to Cardy-Verlinde formula due to generalized uncertainty principle and discuss corrections to Cardy-Verlinde formula due to generalized uncertainty principle in (anti)- de Sitter space. Because in de Sitter black hole spacetime the radiation temperature of the black hole horizon is different from the one of the cosmological horizon, this spacetime is a thermodynamical non-equilibrium spacetime. 相似文献