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Quantum dynamics within curved thin layers with deviation

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Chinese Physics B 2024年第7期33卷 502-507页

作者：程润赵浩罗翠柏周璇王必利李延标王骏 Physics department of Basic department Army Engineering University of PLANanjing 211101China National Laboratory of Solid State Microstructure Collaborative Innovation Center of Advanced Microstructuresand School of PhysicsNanjing UniversityNanjing 210093China School of Physics and Electronics Hunan UniversityChangsha 410082China department of Physics Anhui Normal UniversityWuhu 241002China

Combining the deviation between thin layers' adjacent surfaces with the confining potential method applied to the quantum curved systems,we derive the effective Schr?dinger equation describing the particle constrained within a curved layer,accompanied by a general geometric potential V_(gq) composed of a compression-corrected geometric potential V_(gq)~*and a novel potential V_(gq)~(**) brought by the *** this analysis to the cylindrical layer emerges two types of deviation-induced geometric potential,resulting from the the cases of slant deviation and tangent deviation,respectively,which strongly renormalizes the purely geometric potential and contribute to the energy spectrum based on a very substantial deepening of bound states they offer.

关键词： confining potential method quantum mechanics curved thin layer

Existence of Nontrivial Solutions for p-Laplacian Variational Inclusion Systems in R^N

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Chinese Annals of mathematics,Series B 2011年第4期32卷 619-630页

作者： Zifei SHEN Songqiang WAN department of mathematics Zhejiang Normal University Jinhua 321004 Zhejiang China

The authors study the existence of nontrivial solutions to p-Laplacian variational inclusion systems where N ≥ 2, 2 ≤ p ≤ N and F ： R^2 →% is a locally Lipschitz function. Under some growth conditions on F, and b... 详细信息

关键词： Mountain pass theorem p-Laplacian Principle of symmetric criticality Variational inclusion systems (PS)-condition Locally Lipschitz functions

Critical behavior and Joule-Thomson expansion of charged AdS black holes surrounded by exotic fluid with modified Chaplygin equation of state

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Chinese Physics C 2024年第6期48卷 179-190页

作者：张梦瑶陈浩 Hassan Hassanabad 隆正文杨辉 School of mathematics and Statistics Guizhou UniversityGuiyang 550025China School of Physics and Electronic Science Zunyi Normal UniversityZunyi 563006China Faculty of Physics Shahrood University of TechnologyShahroodIran department of Physics University of Hradec KrálovéRokitanského 6250003 Hradec KrálovéCzechia College of Physics Guizhou UniversityGuiyang 550025China

By considering the concept of a unified single fluid model,referred to as modified Chaplygin gas(MCG),which amalgamates dark energy and dark matter,we explore the thermodynamic characteristics of charged anti-de Sitter(AdS)black holes existing in an unconventional fluid accompanied by *** accomplish this objective,we derive the equations of state by regarding the charge Q^(2) as a thermodynamic *** effects of MCG parameters on the critical thermodynamic quantities(ψ_(c),T_(c),Q_(c)^(2))are examined,followed by a detailed analysis of the Q^(2)-ψ *** provide a clearer explanation of the phase transition,we present an analysis of the Gibbs free *** is important to note that if the Hawking temperature exceeds the critical temperature,a distinct pattern is observed known as swallowtail *** indicates that the system undergoes a first-order phase transition from a smaller black hole to a larger *** critical exponent of the system is found to be in complete agreement with that of the van der Waals fluid ***,we investigate the impact of MCG parameters and black hole charge on Joule-Thomson(J-T)expansion in the extended phase *** J-T coefficient is examined to pinpoint the exact region experiencing cooling or heating,and the observation reveals that the presence of negative heat capacity results in the occurrence of a cooling *** impact of MCG on the inversion curve of charged black holes exhibits a striking resemblance to that observed in most multi-dimensional black hole *** addition,it is worth noting that certain parameters exert a significant influence on the ratio T_(min)/*** specific values of the MCG parameters,the ratio is consistent with the charged AdS black *** parametersγandβhave a non-negligible effect on the isenthalpic curve.

关键词： black hole dark matter dark energy phase transition Joule-Thomson expansion

Probing dark matter particles from evaporating primordial black holes via electron scattering in the CDEX-10 experiment

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Science china(Physics,Mechanics & Astronomy) 2024年第10期67卷 83-91页

作者： Zhenhua Zhang Litao Yang Qian Yue Kejun Kang Yuanjing Li Haipeng An Greeshma C. Jianping Chang Yunhua Chen Jianping Cheng Wenhan Dai Zhi Deng Changhao Fang Xinping Geng Hui Gong Qiuju Guo Tao Guo Xuyuan Guo Li He Shengming He Jinwei Hu Hanxiong Huang Tuchen Huang Lin Jiang S.Karmakar Haubin Li Hanyu Li Jianmin Li Jin Li Qianyun Li Renmingjie Li Xueqian Li Yulan Li Yifan Liang Bin Liao FongKay Lin ShinTed Lin Jiaxuan Liu Shukui Liu Yandong Liu Yu Liu Yuanyuan Liu Hao Ma Yucai Mao Qiyuan Nie jinhua Ning Hui Pan Ningchun Qi Jie Ren Xichao Ruan Monoj Kumar Singh Tianxi Sun Changjian Tang Yang Tian Guangfu Wang Junzheng Wang Li Wang Qing Wang Yufeng Wang Yunxiang Wang Henry Tsz-King Wong Shiyong Wu Yucheng Wu Haoyang Xing Rui Xu Yin Xu Tao Xue Yulu Yan Nan Yi Chunxu Yu Haijun Yu Jianfeng Yue Ming Zeng Zhi Zeng Bingtao Zhang Fengshou Zhang Lei Zhang Zhenyu Zhang Jizhong Zhao Kangkang Zhao Minggang Zhao Jifang Zhou Zuying Zhou Jingjun Zhu CDEX Collaboration Key Laboratory of Particle and Radiation Imaging(Ministry of Education)and department of Engineering Physics Tsinghua UniversityBeijing 100084China department of Physics Tsinghua UniversityBeijing 100084China Institute of Physics Academia SinicaTaipei 11529China NUCTECH Company Beijing 100084China YaLong River Hydropower Development Company Chengdu 610051China College of Nuclear Science and Technology Beijing Normal UniversityBeijing 100875China College of Physics Sichuan UniversityChengdu 610065China School of Physics Peking UniversityBeijing 100871China department of Nuclear Physics China Institute of Atomic EnergyBeijing 102413China Sino-French Institute of Nuclear and Technology Sun Yet-sen UniversityZhuhai 519082China School of Physics Nankai UniversityTianjin 300071China department of Physics Banaras Hindu UniversityVaranasi 221005India department of Physics Beijing Normal UniversityBeijing 100875China 不详

Dark matter(DM)is a major constituent of the ***,no definite evidence of DM particles(denoted as“χ”)has been found in DM direct detection(DD)experiments to *** is a novel concept of detectingχfrom evaporating primordial black holes(PBHs).We search forχemitted from PBHs by investigating their interaction with target *** examined PBH masses range from 1×10^(15)to 7×10^(16)g under the current limits of PBH abundance *** 205.4 kg·day data obtained from the CDEX-10 experiment conducted in the china Jinping Underground Laboratory,we exclude theχ-electron(χ-e)elastic-scattering cross sectionσ_(χe)~5×10^(-29)cm^(2)forχwith a mass■keV from our *** the higher radiation background but lower energy threshold(160 eV),CDEX-10 fills a part of the gap in the previous ***(m_(χ),σ_(χe))can be determined in the future,DD experiments are expected to impose strong constraints on fPBHfor large MPBHs.

关键词： CDEX primordial black hole light dark matter particle dark matter-electron scattering high purity germanium detector

A chromosome-level genome assembly of anesthetic drug–producing Anisodus acutangulus provides insights into its evolution and the biosynthesis of tropane alkaloids

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Plant Communications 2024年第1期5卷 231-244页

作者： Wei Zhou Can Wang Xiaolong Hao Fei Chen Qikai Huang Tingyao Liu Jiang Xu Shuai Guo Baosheng Liao Zhixiang Liu Yue Feng Yao Wang Pan Liao Jiayu Xue Min Shi Itay Maoz Guoyin Kai zhejiang Provincial International S&T Cooperation Base for Active Ingredients of Medicinal and Edible Plants and Health Zhejiang Provincial Key TCM Laboratory for Chinese Resource Innovation and TransformationSchool of Pharmaceutical SciencesJinhua AcademyZhejiang Chinese Medical UniversityHangzhouZhejiang 310053China Sanya Nanfan Research Institute from Hainan university Hainan Yazhou Bay Seed LaboratorySanya 572025China Institute of Chinese Materia Medica China Academy of Chinese Medical SciencesBeijing 100700China department of Biology Hong Kong Baptist UniversityKowloon TongHong KongChina College of Horticulture Academy for Advanced Interdisciplinary StudiesNanjing Agricultural UniversityNanjing 210095China department of Postharvest Science Agricultural Research OrganizationVolcani CenterP.O.Box 15159HaMaccabim Road 68Rishon LeZion 7505101Israel

Tropane alkaloids(TAs),which are anticholinergic agents,are an essential class of natural compounds,and there is a growing demand for TAs with anesthetic,analgesic,and spasmolytic *** acutan-gulus(Solanaceae)is a TA-producing plant that was used as an anesthetic in ancient *** this study,we assembled a high-quality,chromosome-scale genome of *** with a contig N50 of 7.4 Mb.A recent whole-genome duplication occurred in *** after its divergence from other Solanaceae species,which resulted in the duplication of ADC1 and UGT genes involved in TA *** catalytic activities of H6H enzymes were determined for three Solanaceae *** the basis of evolution and co-expressed genes,AaWRKY11 was selected for further analyses,which revealed that its encoded tran-scription factor promotes TA biosynthesis by activating AaH6H1 *** provide useful insights into genome evolution related to TA biosynthesis and have potential implications for genetic manipulation of TA-producing plants.

关键词： Anisodus acutangulus tropane alkaloid biosynthesis hyoscyamine 6 b-hydroxylase AaWRKY11

CONVERGENCE OF NEWTON＇S METHOD FOR SYSTEMS OF EQUATIONS WITH CONSTANT RANK DERIVATIVES

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Journal of Computational mathematics 2007年第6期25卷 705-718页

作者： Xiubin Xu Chong Li department of mathematics Zhejiang Normal University Jinhua 321004 China department of mathematics Zhejiang University Hangzhou 310027 China

The convergence properties of Newton＇s method for systems of equations with constant rank derivatives are studied under the hypothesis that the derivatives satisfy some weak Lipschitz conditions. The unified convergence results, which include Kantorovich type theorems and Smale＇s point estimate theorems as special cases, are obtained.

关键词： Newton's method Overdetermined system Lipschitz condition with L average,Convergence Rank.

Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay

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Journal of Partial Differential Equations 2024年第1期37卷 25-46页

作者： SU Keqin YANG Xinguang College of Information and Management Science Henan Agricultural UniversityZhengzhou 450046China. department of mathematics and Information Science Henan Normal UniversityXinxiang 453007China

This paper is concerned with the pullback dynamics and robustness for the 2D incompressible Navier-Stokes equations with delay on the convective term in bounded *** appropriate assumption on the delay term,we establish the existence of pullback attractors for the fluid flow model,which is dependent on the past *** by the idea in Zelati and Gal’s paper(JMFM,2015),the robustness of pullback attractors has been proved via upper semi-continuity in last section.

关键词： Navier-Stokes equations pullback attractors delay upper semi-continuity

Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space R×T

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Science china mathematics 2024年

作者： Jun Li Fei Tao Huicheng Yin department of mathematics Nanjing University School of Mathematical Sciences and Mathematical Institute Nanjing Normal University

In this paper, for the 3D quadratic nonlinear Klein-Gordon equation on the product space R2× T,we focus on the lower bound of the lifespan of the smooth solution with slowly decaying initial data. When the size of initial data is bounded by ε0> 0, it is shown that a smooth solution exists up to the time ec0/ε0～2 with ε0being sufficiently small and c0> 0 being some suitable constant. Note that the solution of the corresponding 3D linear homogeneous Klein-Gordon equation on R2× T only admits the optimal time-decay rate（1 + t）-1,from which we generally derive the lifespan of the nonlinear Klein-Gordon equation up to ec0/ε0rather than the more precise ec0/ε0～2 here.

关键词：

Boundedness of Hausdorff operators on the power weighted Hardy spaces

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Applied mathematics(A Journal of Chinese Universities) 2017年第4期32卷 462-476页

作者： CHEN Jie-cheng HE Shao-yong ZHU Xiang-rong department of mathematics Zhejiang Normal University Jinhua 321004 China

In this paper, we consider the two-dimensional Hausdorff operators on the power weighted Hardy space H;（R;）（ -1 ≤α≤0）, defined by H;f（x）=∫R;Φ（u）f(A（u）x)du,where Φ∈L;oc;（R;）,A（u） = (α;（u）);is a 2×2 matrix, and each α;is a *** obtain that HΦ,A is bounded from H;（R;）（ -1≤α≤0） to itself, if∫R2|Φ（u）‖det A;（u）|‖A（u）‖;ln(1+‖A;（u）‖;/|det A;（u）|)du<∞.This result improves some known theorems, and in some sense it is sharp.

关键词： Hausdorff operator Hardy space power weight