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Eigenfunctions of Five-Qubit XX Chain and Ground State Concurrence

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Communications in Theoretical Physics 2008年第12期50卷 1295-1298页

作者： ling Yin-sheng School of Physical Science and Technology Suzhou University Suzhou 215006 China

Use Jordan-Wigner transformation the eigenstates and eigenenergies of live qubits XX chain including external magnetic field are obtained. The concurrences Co,1 and Co,2 of ground state are obtained. For the ferromagnetic, when [（√5 - 1）/2]｜J｜〈 B ≤ ｜J｜, the values of C0,1 and C0,2 are the same. The C0,2 is easily broken by temperature.

关键词： XX chain entanglement Jordan-Wigner transformation concurrence

Conditional Connectivity of Bubble Sort Graphs

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Acta Mathematicae Applicatae Sinica 2017年第4期33卷 933-944页

作者： ling-sheng SHI Peng WU Department of Mathematical Sciences Tsinghua University Beijing 100084 China

A subset F V（G） is called an Rk-vertex-cut of a graph G if G - F is disconnected and each vertex of G - F has at least k neighbors in G - F. The Rk-vertex-connectivity of G, denoted by κk（G）, is the cardinality of a minimum Rk-vertex-cut of G. Let Bn be the bubble sort graph of dimension n. It is known that κk（Bn） = 2k（n - k - 1） for n _〉 2k and k = 1,2. In this paper, we prove it for k =3 and conjecture that it is true for all k ∈ N. We also prove that the connectivity cannot be more than conjectured.

关键词： bubble sort graph connectivity cut

Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2013年第1期14卷 61-70页

作者： Zhen-dong SHAN Dao-sheng ling Hao-jiang DING MOE Key Lab of Soft Soils and Geo-environmental Engineering Zhejiang University Institute of Engineering Mechanics China Earthquake Administration

Based on consolidation equations proposed for unsaturated soil, an analytical solution for 1D consolidation of an unsaturated single-layer soil with nonhomogeneous mixed boundary condition is developed. The mixed boundary condition can be used for special applications, such as tests occur in laboratory. The analytical solution is obtained by assuming all material parameters remain constant during consolidation. In the derivation of the analytical solution, the nonhomogeneous boundary condition is first transformed into a homogeneous boundary condition. Then, the eigenfunction and eigenvalue are derived according to the consolidation equations and the new boundary condition. Finally, using the method of undetermined coefficients and the orthogonal relation of the eigenfunction, the analytical solution for the new boundary condition is obtained. The present method is applicable to various types of boundary conditions. Several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with mixed boundary condition.

关键词： Unsaturated soil Consolidation Mixed boundary condition Analytical solution

Effect of demethyltransferase FTO on tumor progression

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BIOCELL 2022年第11期46卷 2387-2397页

作者： ling sheng YUEHONG SHEN HONGYU YANG School of Stomatology Weifang Medical UniversityWeifang261035China Department of Oral and Maxillofacial Surgery Shenzhen HospitalPeking UniversityShenzhen518036China

N6-methyladenosine(m6A)modification is the most widespread and conserved internal mRNA modification in mammalian *** greatly affects genetic regulation by enhancing the involvement of diverse cellular enzymes and thus,plays a significant role in basic life *** studies on m6A modification identified FTO as a crucial demethylase that participates in various biological *** only does FTO play a pivotal role in obesity-related conditions,but it also influences the occurrence,development,and prognosis of several cancers,such as acute myeloid leukemia,breast cancer,liver cancer,and lung ***,FTO also shows a close association with immunity and viral *** article summarized the molecular mechanism of FTO in tumorigenesis and tumor progression.

关键词： m6A modification Fat mass and obesity-associated protein Molecular functional mechanism

L_p approximation by Bernstein-Kantorovich quasi-interpolants

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Applied Mathematics(A Journal of Chinese Universities) 2009年第2期24卷 200-208页

作者： LIU Li-xia SHI ling GUO Shun-sheng College of Math. and Inform. Sci. Hebei Normal Univ. Shijiazhuang 050016 China

Bernstein-Kantorovich quasi-interpolants K^（2r-1）n（f, x） are considered and direct, inverse and equivalence theorems with Ditzian-Totik modulus of smoothness ω^2rφ（f, t）p （1 ≤ p ≤＋∞） are obtained.

关键词： quasi-interpolant Bernstein-Kantorovich operator Ditzian-Totik modulus

Entanglement of a Five-Qubit Heisenberg XX Chain in a Magnetic Field

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Communications in Theoretical Physics 2009年第5期51卷 811-814页

作者： CAO Min ling Yin-sheng ZHU Shi-Qun School of Science Nantong University Nantong 226007 China School of Physical Science and Technology Suzhou University Suzhou 215006 China

We calculate the eigenvalues and eigenvectors of a five-qubit isotropic Heisenberg model in an external magnetic field, and give analytical results for the concurrence of two nearest-neighbor qubits. A magnetic field can eliminate degeneration and change the ground state of the system. Therefore increasing the value of the magnetic field can induce entanglement in a certain range both for the antiferromagnetic and ferromagnetic case.

关键词： entanglement five-qubit Heisenberg chain

Preparation of Titanium-silphenylene-siloxane Hybrid Polymers with High Refractive Index,Transmittance,and Thermal Stability

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Chinese Journal of Polymer Science 2020年第9期38卷 973-982,I0007页

作者： Dong Zhao Shu-Xi Shan Meng Zhang Xiao-A Zhang sheng-ling Jiang Ya-Fei Lyu Key Laboratory of Carbon Fiber and Functional Polymers of Ministry of Education College of Materials Science and EngineeringBeijing University of Chemical TechnologyBeijing 100029China

Vinyl-containingtitanium-silphenylene-sioxane oligomers(O1,O2,O3,andO4)withdifferent molar ratios of titanium to silicon were successfully synthesized in high yields by nonhydrolytic sol-gel reaction,and the obtained four oligomers were further crosslinked with methylphenyl hydro-silicone oil(4)to form corresponding polymers(P1,P2,P3,and P4)by hydrosilylation *** structures were characterized with spectroscopic characterization techniques including FTIR,1H-NMR,and Raman *** effect of titanium element on crosslinking behavior,thermal resistance,refractive index,transparency,thermal aging stability,glass transition temperature,and surface properties of the polymers were *** with titanium-free polymer P1,the thermal resistance,refractive index,and thermal aging stability of titanium-silphenylene-siloxane polymers(P2,P3,and P4)were significantly *** titanium-silphenylene-siloxane polymers achieved a high refractive index(n=1.580-1.584)and thermostability(Tsd>500℃).In thermal aging,the polymers exhibited superior performances with high optical transparency(~90%at 450 nm)and exhibited high thermal stability(~84%at 450 nm after thermal aging at 150℃for 120 h).These data indicate that the polymers have potential application in optical materials such as LED encapsulants.

关键词： Titanium-silphenylene-siloxane hybrid polymers High refractive index and transmittance Thermal stability

Self-healing Supramolecular Polymer Composites by Hydrogen Bonding Interactions between Hyperbranched Polymer and Graphene Oxide

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Chinese Journal of Polymer Science 2018年第5期36卷 584-591页

作者： Yi-Gang Luan Xiao-A Zhang sheng-ling Jiang Jian-Huan Chen Ya-Fei Lyu Key Laboratory of Carbon Fiber and Functional Polymers of Ministry of Education College of Materials Science and Engineering Beijing University of Chemical Technology

A self-healing supramolecular polymer composite（HSP-GO） was designed and prepared via incorporation of modified graphene oxide to hyperbranched polymer by hydrogen-bonding interactions. The polymer matrix based on amino-terminated hyperbranched polymer（HSP-NH_2） was synthesized by carboxylation, Curtius rearrangement, and amination of hydroxyl-terminated hyperbranched polyester（HP-OH）, while the modified graphene oxide was prepared by transformation of hydroxyl to isocyanate and further to carbamate ester. Spectroscopic methods were utilized to characterize the obtained polymer composites. Stress-strain test was selected to carefully study the self-healing property of HSP-GO. It is found that a small amount of modified graphene oxide（up to 2 wt%） improves the glass transition temperature（T_g）, tensile strength, Young＇s modulus, and self-healing efficiency of the polymer composites. After healed at room temperature for 10 min, the addition of modified graphene oxide improves the self-healing efficiency to 37% of its original tensile strength. The experiment result shows that the self-healing efficiency is related to the density of hydrogen bonding site and the molecular movement.

关键词： Self-healing Supramolecular polymer Graphene oxide Hydrogen bonding

A virtual test of screening technology based on the AGEIA PhysX

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Journal of China University of Mining and Technology 2008年第2期18卷 300-304页

作者： LI Ai-min LV Rui-ling LIU Chu-sheng School of Mechanical and Electrical Engineering China University of Mining ＆ Technology Xuzhou Jiangsu 221116 China

The authors have created a virtual test of vibration particle-screening using Autodesk's 3ds Max software,the MAXScript scripting language and the AGEIA PhysX physics processing unit(PPU).The affect of various parameters on screening efficiency were *** parameters included vibration amplitude,frequency and *** length and inclination of the vibrating surface were also *** virtual experiment is in basic agreement with results predicted from screening *** shows that the virtual screener can be used for preliminary investigations and the results used to evaluate screen *** addition it can help with theoretical research.

关键词： screening AGEIA PhysX virtual test