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失谐对冷原子介质中光脉冲信息存储的影响 被引量:9
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作者 黄善国 顾畹仪 马海强 《物理学报》 SCIE EI CAS CSCD 北大核心 2004年第12期4211-4217,共7页
通过对电磁感应透明模型的理论推导和数值模拟 ,讨论了光场和原子能级间有失谐的光脉冲信息的存储过程 .结果表明 :只有在光场和原子能级共振时 ,光和原子相互作用系统的存储态才能最终演化到暗态 .随着失谐量的增大 ,只有部分信号光脉... 通过对电磁感应透明模型的理论推导和数值模拟 ,讨论了光场和原子能级间有失谐的光脉冲信息的存储过程 .结果表明 :只有在光场和原子能级共振时 ,光和原子相互作用系统的存储态才能最终演化到暗态 .随着失谐量的增大 ,只有部分信号光脉冲存储于冷原子介质中 ,并且光脉冲负群速度的绝对值逐渐增大 ,导致在介质中“读出”信号光相对于“读入”信号光的位置有明显的倒退现象 .对于能级上下对称相同失谐的情况 ,存储过程中系统各物理量的演化过程几乎相同 . 展开更多
关键词 冷原子 光脉冲 负群速 电磁感应透明 相互作用系统 光场 能级 失谐 信号光 存储
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原子-二聚物分子转化系统在受激拉曼绝热过程中的绝热保真度 被引量:8
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作者 孟少英 吴炜 《物理学报》 SCIE EI CAS CSCD 北大核心 2009年第8期5311-5317,共7页
从原子-二聚物分子转化系统的非U(1)对称性出发,将保真度的定义推广到了非线性系统.并利用绝热保真度定量地研究了原子-二聚物分子转化系统在受激拉曼绝热过程中的动力学和绝热性.研究发现,这个系统的相干布居俘获态——暗态的绝热保真... 从原子-二聚物分子转化系统的非U(1)对称性出发,将保真度的定义推广到了非线性系统.并利用绝热保真度定量地研究了原子-二聚物分子转化系统在受激拉曼绝热过程中的动力学和绝热性.研究发现,这个系统的相干布居俘获态——暗态的绝热保真度作为绝热参量的函数以幂律关系趋于1.这个函数关系与线性系统的绝热参量和绝热保真度的幂律关系非常相似,但该系统的幂指数要远小于线性系统的幂指数.此外,还进一步讨论了如何通过优化受激拉曼绝热过程的外部参量得到更高的绝热保真度,从而优化系统的绝热性,提高原子-分子转化效率. 展开更多
关键词 原子-二聚物分子转化系统 暗态 受激拉曼绝热过程 绝热保真度
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高性能被动型CPT原子钟发展趋势 被引量:1
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作者 丁琛沣 陈海军 《宇航计测技术》 CSCD 2023年第5期23-30,共8页
运用单一圆偏光构型达成CPT态会产生极化暗态使得CPT信号对比度较低。因此,传统的CPT原子钟频率稳定度指标不高。为提高CPT信号对比度从而提高CPT原子钟性能,各种消除极化暗态的方案不断被提出并获得研究,这些方案可以根据所使用的激光... 运用单一圆偏光构型达成CPT态会产生极化暗态使得CPT信号对比度较低。因此,传统的CPT原子钟频率稳定度指标不高。为提高CPT信号对比度从而提高CPT原子钟性能,各种消除极化暗态的方案不断被提出并获得研究,这些方案可以根据所使用的激光偏振状态及其产生方式分为平行线偏振光构型、相位延迟的σ^(+)-σ^(-)构型、推挽光泵浦构型、垂直线偏振光构型、偏振调制构型。基于这些方案的原理和发展水平,对比分析各个方案的优缺点和改进方案,可探索不同需求条件下高性能原子钟新的发展方向。 展开更多
关键词 原子钟 相干布居囚禁 暗态 偏振光
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原子-异核-三聚物分子转化系统暗态的动力学不稳定性 被引量:5
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作者 孟少英 吴炜 刘彬 《物理学报》 SCIE EI CAS CSCD 北大核心 2009年第10期6902-6907,共6页
研究了受激拉曼绝热过程中原子-异核-三聚物分子转化系统暗态的动力学稳定性.通过将量子哈密顿对应到经典哈密顿,并求解和分析线性化经典运动方程后得到的哈密顿-雅克比矩阵本征值,解析地得到了原子-三聚物暗态的动力学不稳定性发生的条... 研究了受激拉曼绝热过程中原子-异核-三聚物分子转化系统暗态的动力学稳定性.通过将量子哈密顿对应到经典哈密顿,并求解和分析线性化经典运动方程后得到的哈密顿-雅克比矩阵本征值,解析地得到了原子-三聚物暗态的动力学不稳定性发生的条件.并以异核原子87Rb和41K混合凝聚体为例,数值地给出了系统发生动力学不稳定性的区域.研究发现,这种动力学不稳定性是由粒子之间的相互作用带来的.此外,还发现系统动力学不稳定性的发生不仅与哈密顿-雅克比矩阵是否出现实数或复数的本征值有关,还与外场扫描速率有关. 展开更多
关键词 原子-异核-三聚物分子转化系统 暗态 受激拉曼绝热过程 动力学不稳定性
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Modification of laser-induced state in atomic attosecond transient absorption by the XUV pulse pair
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作者 Xuhong Li Guanglu Yuan +4 位作者 Xiangyu Tang Yong Fu Kan Wang Bincheng Wang Cheng Jin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2023年第1期138-146,共9页
Attosecond transient absorption(ATA)has been developed as an all-optical technique for probing electron dynamics in matter.Here we present a scheme that can modify the laserinduced state and the corresponding ATA spec... Attosecond transient absorption(ATA)has been developed as an all-optical technique for probing electron dynamics in matter.Here we present a scheme that can modify the laserinduced state and the corresponding ATA spectrum via excitation by a pair of XUV attosecond pulses and by a time-delayed mid-infrared(MIR)laser probe.Different from the scheme of the electronic excitation by a single XUV attosecond pulse,the application of a pair of XUV pulses provides extra degrees of freedom,such as the time delay and the intensity ratio between two XUV pulses,which make it possible to adjust the pump process,resulting in the modification of the ATA spectrum.We show that by varying the time delay between the two XUV pulses,the population of the dark state and the ATA spectrum of the laser-induced state have periodic modulations.We also demonstrate that the peak of the ATA spectrum of the laser-induced state appears at a fixed time delay between the XUV pair and the MIR laser when the intensity ratio is large,and it changes with the time delay when the intensity ratio is small,which can be related to either one of two peaks in the population of the dark state. 展开更多
关键词 attosecond transient absorption laser-induced state XUV pulse pair dark state multilevel model
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Light manipulation by dual channel storage in ultra-cold Rydberg medium
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作者 田雪冬 景梓骄 +2 位作者 吕凤珍 鲍倩倩 刘一谋 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第4期338-346,共9页
We investigate the light propagation dynamics in ultra-cold Rydberg medium with inverted-Y configuration based on the superatom theory.It is viable to store light information in two types of atomic spin coherence(triv... We investigate the light propagation dynamics in ultra-cold Rydberg medium with inverted-Y configuration based on the superatom theory.It is viable to store light information in two types of atomic spin coherence(trivial spin coherence and Rydberg spin coherence),which makes the system a prospective platform for versatile light manipulation.A normal feature is to realize efficient light storage with simultaneous resonant control fields applied.An intriguing feature is to split light into two beams with different intensities and statistical properties if the control fields are applied separately.The beam of light retrieved from the Rydberg spin coherence is severely attenuated and shows anti-bunching character accompanied by the cooperative optical nonlinearity.Moreover,generation and manipulation of beating signal are achievable by applying the non-resonant control fields. 展开更多
关键词 Rydberg atom electromagnetically induced transparency light storage dark-state polariton
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Slow-roll inflation in f(T,T)modified gravity
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作者 Aaqid Bhat Sanjay Mandal P.K.Sahoo 《Chinese Physics C》 SCIE CAS CSCD 2023年第12期162-168,共7页
In this study, we explore the concept of cosmological inflation within the framework of the f(T, T)theory of gravity, where f is a general function of the torsion scalar T and the trace T of the energy-momentum tensor... In this study, we explore the concept of cosmological inflation within the framework of the f(T, T)theory of gravity, where f is a general function of the torsion scalar T and the trace T of the energy-momentum tensor.It is assumed that the conditions of slow-roll inflation are applicable in f(T, T) gravity. To determine different observables related to inflation, such as the tensor-to-scalar ratio r, scalar spectral index ns, spectral index αs, and tensor spectral index nt, the Hubble slow-roll parameters are utilized for a particular model of f(T, T). Lastly, an assessment is carried out to determine the feasibility of the models by conducting a numerical analysis of the parameters. The findings indicate that it is feasible to achieve compatibility with the observational measurements of slow-roll parameters by utilizing different values of the free parameters. 展开更多
关键词 f(T T)gravity early-time cosmology dark energy equation of state slow-roll inflation
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π-共轭分子中激发态的对称性与暗态的起源
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作者 谢军 盛卫东 《Chinese Journal of Chemical Physics》 SCIE EI CAS CSCD 2023年第3期307-312,I0100,共7页
本文利用严格对角化方法研究了处于不同介电环境中两种典型的π共轭单分子蒽和菲的光吸收谱.对于具有不对称几何形状的受限量子体系,人们普遍认为系统的第一激发态应该局限于结构的长轴方向上.同时,偶极近似指向这些局限于长轴方向上激... 本文利用严格对角化方法研究了处于不同介电环境中两种典型的π共轭单分子蒽和菲的光吸收谱.对于具有不对称几何形状的受限量子体系,人们普遍认为系统的第一激发态应该局限于结构的长轴方向上.同时,偶极近似指向这些局限于长轴方向上激发态的跃迁通常会拥有更强的峰值.本文指出上述两条常识对于蒽和菲这两种分子是不适用的.对于蒽,发现了其吸收谱中第一个亮峰对应的跃迁总是沿着分子的短轴方向.对于菲,同样观察到其吸收谱中峰值最高的谱线的极化方向也是沿着分子的短轴方向.另外,不论是蒽还是菲,其第一激发态在某些介电环境中不会出现在吸收谱当中,即成为了光学暗态.经过仔细考察体系能级随各种参数的变化关系,最终确定这些暗态的形成可以归结于分子中的短程库伦相互作用. 展开更多
关键词 激发态的对称性 光吸收 光学暗态 严格对角化
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The basic blocks of the universe matter: Boltzmann fundamental particle and energy quanta of dark matter and dark energy 被引量:1
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作者 Murad Shibli Sohail Anwar 《Natural Science》 2011年第9期743-749,共7页
Recent astronomical NASA observations indicates that visible matter contributes only to about 4% of the universe total energy density, meanwhile, dark matter and dark energy contributes to 26% and 70% of the universe ... Recent astronomical NASA observations indicates that visible matter contributes only to about 4% of the universe total energy density, meanwhile, dark matter and dark energy contributes to 26% and 70% of the universe total energy, respectively, with an average density close to 10–26 kg/m3. This paper proposes an equation of state of dark energy and dark matter as one unified entity. This equation is derived based on the ideal gas equation, Boltzmann constant, Einstein energy-mass principle and based on the assumption that dark energy and dark matter behave as a perfect fluid. This analysis presents what could be the most fundamental particle and quanta of dark matter and dark energy. Considering NASA’s Cosmic Microwave Background Explorer (CMB) which estimated that the sky has an average temperature close to 2.7251 Kelvin, then the equivalent mass and energy of the proposed fundamental particle is determined. It is found that this candidate particle has an equivalent mass of 4.2141 × 10–40 Kg which is equivalent to 3.7674 × 10–23 J. Surprisingly, this value has the same order of Boltzmann constant KB = 1.38 ×10–23 J/K. This candidate particle could be the most fundamental and lightest particle in Nature and serves as the basic block of matter (quarks and gluons). Moreover, assuming a uniform space dark energy/dark matter density, then the critical temperature at which the dark matter has a unity entity per volume is determined as 34.983 × 1012 K. Analytically, it proposes that at this trillion temperature scale, the dark matter particles unified into a new quark-hydron particle. Finally, tentative experimental verification can be con ducted using the Relativistic Heavy Ion Collider (RHIC). 展开更多
关键词 dark ENERGY dark MATTER Equation of state BOLTZMANN CONSTANT Boltzamnn particles Einstine’s COSMOLOGICAL CONSTANT
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Interpretation of Dark Matter and Quark-Gluon Plasma: The Generation of the Periodic Table Elements and Its Phase Diagram: A Novel Millennium Power Plant
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作者 Murad Al Shibli 《Natural Science》 2015年第9期438-458,共21页
This paper presents a novel physical interpretation of the state of matter of the quark-gluon as the most fundamental building blocks in nature. Such a model is derived based on the assumption that dark matter and dar... This paper presents a novel physical interpretation of the state of matter of the quark-gluon as the most fundamental building blocks in nature. Such a model is derived based on the assumption that dark matter and dark energy behave as a perfect ideal fluid at extremely high temperature. By the virtue of Boltzmann constant of the ideal gas law and NASA’s Cosmic Microwave Background Explorer (CMB) which estimate that the space has an average temperature close to 2.7251 Kelvin, then the equivalent mass-energy of the fundamental particle of the dark matter/dark energy is determined. Moreover, assuming a uniform space dark energy/dark matter density, then the critical temperature at which the dark matter has a unity entity per volume is identified as 64 × 1012 K. The calculated critical temperature of the quark-gluon plasma is found to be proportional to the temperature generated by colliding heavy ions at the Relativistic Heavy Ion Collider (RHIC) and European Organization for Nuclear Research (CERN). Moreover, the individual critical temperatures of the quark-gluon plasma matter at which the elements of the Periodic Table are generated are explicitly determined. The generation temperature trend of the elements of the Periodic Table groups and Periods is then demonstrated. Accordingly, the phase diagram of the quark-gluon state matter is proposed. Finally, a new model of quark-gluon power generation plant is proposed and aims to serve humanity with new energy sources in the new millennium. 展开更多
关键词 dark MATTER dark Energy QUARK-GLUON Plasma Equation of state Periodic TABLE Standard Model
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Quantum Entanglement of Two Flux Qubits Induced by an Auxiliary SQUID
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作者 SHI Tao SONG Zhi Department of Physics,Nankai University,Tianjin 300071,China 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第12期1003-1008,共6页
We revisit a theoretical scheme to create quantum entanglement of two three-level superconducting quantuminterference devices (SQUIDs) with the help of an auxiliary SQUID.In this scenario,two three-level systems are c... We revisit a theoretical scheme to create quantum entanglement of two three-level superconducting quantuminterference devices (SQUIDs) with the help of an auxiliary SQUID.In this scenario,two three-level systems are coupledto a quantized cavity field and a classical external field and thus form dark states.The quantum entanglement can beproduced by a quantum measurement on the auxiliary SQUID.Our investigation emphasizes the quantum effect of theauxiliary SQUID.For the experimental feasibility and accessibility of the scheme,we calculate the time evolution of thewhole system including the auxiliary SQUID.To ensure the efficiency of generating quantum entanglement,relationsbetween the measurement time and dominate parameters of the system are analyzed according to detailed calculations. 展开更多
关键词 superconducting quantum interference device entangled state quantum information dark state
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非简并Λ型三能级原子的速度选择相干布居俘获 被引量:1
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作者 谢旻 凌琳 杨国建 《物理学报》 SCIE EI CAS CSCD 北大核心 2005年第8期3616-3621,共6页
研究了非简并Λ型三能级原子速度选择相干布居俘获与原子能级结构的非对称性以及原子-激光失谐之间的关系.指出相对于简并、共振情况,原子动量分布的概率峰峰值降低、最可几动量发生变化,而且原子的俘获时间也变得很长.
关键词 三能级原子 速度选择 非简并 俘获 布居 相干 A型 非对称性 能级结构 动量分布 发生变化 峰峰值 共振 概率 时间
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超冷异核玻色四原子分子的多路径转化和干涉效应 被引量:2
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作者 豆福全 张嘉辉 +1 位作者 杨静 胡丹 《激光与光电子学进展》 CSCD 北大核心 2021年第11期60-66,共7页
基于广义受激拉曼绝热通道技术,研究超冷异核玻色四原子分子的单路径和多路径转化。建立平均场模型,得到了相应的暗态解和双光子共振条件。比较单路径和多路径方案下的分子转化动力学,发现多路径方案下由于存在不同路径之间的干涉效应,... 基于广义受激拉曼绝热通道技术,研究超冷异核玻色四原子分子的单路径和多路径转化。建立平均场模型,得到了相应的暗态解和双光子共振条件。比较单路径和多路径方案下的分子转化动力学,发现多路径方案下由于存在不同路径之间的干涉效应,从而可以提高分子转化率,特别对于三路径方案,干涉效应明显,转化率会更高。最后通过改变脉冲强度,研究外场参数对多路径转化的影响,发现此时多路径干涉效应具有两面性:在某些参数区域内表现为相长干涉,能很好地提高分子转化率,但在有些参数区域内表现为相消干涉,从而降低分子转化率。 展开更多
关键词 原子与分子物理学 广义受激拉曼绝热通道 多路径转化 干涉效应 多原子分子 暗态
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Simulation of EOM-based frequency-chirped laser slowing of MgF radicals 被引量:1
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作者 Kang Yan RuoXi Gu +3 位作者 Di Wu Jin Wei Yong Xia Jianping Yin 《Frontiers of physics》 SCIE CSCD 2022年第4期173-183,共11页
Here we propose a scheme to slow MgF molecules by using EOM-based frequency-chirped radiation pressure slowing.The scheme well addresses the need for a rapid chirp rate while light molecules are being laser slowed,who... Here we propose a scheme to slow MgF molecules by using EOM-based frequency-chirped radiation pressure slowing.The scheme well addresses the need for a rapid chirp rate while light molecules are being laser slowed,whose scattering rate and recoil velocity are large.Two EOMs are used to compensate the rapidly changing Doppler shifts arised from the movement of molecules,and to cover the hyperfine energy structure of MgF,respectively.Based the scattering rate maps calculated from an optical Bloch equation model,individual molecule trajectories are simulated by using a semi-classical three-dimensional Monte Carlo approach.We show how the modulation configuration of EOM and the magnetic field influence the slowing results.The study shows that a cryogenic buffer gas-cooled MgF beam source is possible to be slowed down with a number of∼1.4×10^(6)–10^(7),and the final forward speed peaks at∼10 m/s near the capture velocity of a molecular MOT. 展开更多
关键词 laser cooling of molecule MgF molecule laser slowing dark state type-II transition
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Q泡暗物质的能量稳定性与激发态 被引量:2
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作者 李娅 颜骏 +1 位作者 姜胜鑫 苏文杰 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第5期667-670,共4页
暗物质的理论研究和实验探测是天体粒子物理学中的重要课题,这种物质可能是最轻的超对称粒子构成,并以玻色球和泡的方式存在.在复标量场模型中构造了带U(1)荷的Q泡模型,通过引入两种跑动势的方法计算了Q泡暗物质的特征半径和能量稳定性... 暗物质的理论研究和实验探测是天体粒子物理学中的重要课题,这种物质可能是最轻的超对称粒子构成,并以玻色球和泡的方式存在.在复标量场模型中构造了带U(1)荷的Q泡模型,通过引入两种跑动势的方法计算了Q泡暗物质的特征半径和能量稳定性质,结果得到了Q泡在s基态和p、d、f激发态的U(1)荷和能量,计算了不同能级的能量差,分析了能级的简并性质.这一研究的物理意义在于Q泡暗物质可以发射不同能量的粒子,并为暗物质的实验探测提供一定的理论预测. 展开更多
关键词 Q泡 暗物质 能量稳定性 激发态
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电磁感应透明物理机制的解释 被引量:2
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作者 曾志强 王玉平 《宜宾学院学报》 2013年第6期49-51,共3页
利用半经典理论,以Λ型三能级原子系统为例,研究了电磁感应透明的物理机制.通过暗态、缀饰态和密度矩阵方程三种理论,解释了当激光场与原子系统相互作用时,原子在光场诱导的跃迁通道间发生量子相干效应是出现电磁感应透明的原因.
关键词 量子光学 电磁感应透明 暗态 缀饰态 密度矩阵方程
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Dark state atoms trapping in a magic-wavelength optical lattice near the nanofiber surface 被引量:1
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作者 Dianqiang Su Xiateng Qin +5 位作者 Yuan Jiang Kaidi Jin Zhonghua Ji Yanting Zhao Liantuan Xiao Suotang Jia 《Chinese Optics Letters》 SCIE EI CAS CSCD 2022年第2期1-4,共4页
We report the experimental realization of dark state atoms trapping in a nanofiber optical lattice.By applying the magicwavelength trapping potentials of cesium atoms,the AC Stark shifts are strongly suppressed.The da... We report the experimental realization of dark state atoms trapping in a nanofiber optical lattice.By applying the magicwavelength trapping potentials of cesium atoms,the AC Stark shifts are strongly suppressed.The dark magneto-optical trap efficiently transfers the cold atoms from bright (6S_(1/2),F=4) into dark state (6S_(1/2),F=3) for hyperfine energy levels of cesium atoms.The observed transfer efficiency is as high as 98%via saturation measurement.The trapping lifetime of dark state atoms trapped by a nanofiber optical lattice is also investigated,which is the key element for realizing optical storage.This work contributes to the manipulation of atomic electric dipole spin waves and quantum information storage for fiber networks. 展开更多
关键词 NANOFIBER atomic trapping optical lattice dark state
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简并能级系统中的量子相干效应与暗态 被引量:2
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作者 蔡德欢 李媛 +2 位作者 马荣 郜江瑞 张俊香 《量子光学学报》 CSCD 北大核心 2012年第4期350-356,共7页
文章分析了简并二能级原子系统Fg=1→Fe=0中的吸收、色散特性与暗态的对应关系,比较了双Λ型和Λ型能级结构下的量子相干效应。结果表明,双Λ型系统中多个基态相干性会增强原子相干特性。
关键词 简并二能级 暗态 量子相干 电磁诱导透明
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三芯耦合波导中暗态的研究 被引量:2
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作者 倪程鹏 周桥梁 王文峰 《量子电子学报》 CAS CSCD 北大核心 2014年第2期202-207,共6页
Silberberg等利用三芯耦合光波导的暗态现象,实验研究了非线性对相干布居囚禁量子效应的影响.然而,对该三芯耦合波导中的非线性传输特征数值计算的研究表明,相干布居囚禁与光波导的非线性自囚禁两种效应都可以导致波导中暗态的产生,当... Silberberg等利用三芯耦合光波导的暗态现象,实验研究了非线性对相干布居囚禁量子效应的影响.然而,对该三芯耦合波导中的非线性传输特征数值计算的研究表明,相干布居囚禁与光波导的非线性自囚禁两种效应都可以导致波导中暗态的产生,当两种效应同时作用时,则导致暗态现象的破坏.因此,仅从暗态的变化研究非线性对相干布居囚禁的影响是不完备的.在相干布居囚禁的理想条件下,非线性影响暗态的阈值功率趋于无穷大,这意味着理想相干布居囚禁量子效应不受限于系统的非线性效应. 展开更多
关键词 非线性光学 暗态 数值模拟 三芯耦合波导 相干布居囚禁 自囚禁
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A Combined Heterotic String and Kähler Manifold Elucidation of Ordinary Energy,Dark Matter,Olbers’s Paradox and Pure Dark Energy Density of the Cosmos
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作者 Mohamed S.El Naschie 《Journal of Modern Physics》 2017年第7期1101-1118,共18页
We utilize the topological-geometrical structure imposed by the Heterotic superstring theory on spacetime in conjunction with the K3 K&auml;hler manifold to explain the mysterious nature of dark matter and its cou... We utilize the topological-geometrical structure imposed by the Heterotic superstring theory on spacetime in conjunction with the K3 K&auml;hler manifold to explain the mysterious nature of dark matter and its coupling to the pure dark energy density of the cosmos. The analogous situations in the case of a Kerr black hole as well as the redundant components of the Riemannian tensor are pointed out and the final result was found to be in complete agreement with all previous theoretical ones as well as all recent accurate measurements and cosmic observations. We conclude by commenting briefly on the Cantorian model of Zitterbewegung and the connection between Olbers’s paradox and dark energy. 展开更多
关键词 Heterotic Strings K3 Kahler Manifold dark Matter Pure Heterotic dark Energy Einstein’s Relativity Accelerated Cosmic Expansion Negative Gravity Fractal Spacetime E-Infinity Theory Kerr Black Holes Geometry Kaluza-Klein Theory Dvoretzky’s Theorem Empty Set Zero Set Connes Noncommutative Geometry ‘tHooft Renormalon state Vector Reduction Density Matrix ‘tHooft Fractal Spacetime Transfinite Cellular Automata Interpretation of Quantum Mechanics ZITTERBEWEGUNG Olbers’s dark Sky Paradox
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