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理论物理通讯(英文版)
理论物理通讯(英文版)

何祚庥

月刊

0253-6102

ctp@itp.ac.cn

010-62541813,62551495,62550630

100190

北京2735信箱

理论物理通讯(英文版)/Journal Communications in Theoretical PhysicsCSCDCSTPCD北大核心SCI
查看更多>>本刊是由中国物理学会和中国科学院理论所共同主办、由理论物理研究所承办的英文版专业性学术期刊。主要任务是及时报导和刊登国内外具有最新创新成果的高水平研究论文、简报和快讯。读者对象主要是国内外从事理论物理研究与教学专业研究人员、大专院校教师和研究生。
正式出版
收录年代

    Planar matrices and arrays of Feynman diagrams:poles for higher k

    Alfredo GuevaraYong Zhang
    1-13页
    查看更多>>摘要:Planar arrays of tree diagrams were introduced as a generalization of Feynman diagrams that enable the computation of biadjoint amplitudes mn(k)for k>2.In this follow-up work,we investigate the poles ofmn(k)from the perspective of such arrays.For general k,we characterize the underlying polytope as a Flag Complex and propose a computation of the amplitude-based solely on the knowledge of the poles,whose number is drastically less than the number of the full arrays.As an example,we first provide all the poles for the cases(k,n)=(3,7),(3,8),(3,9),(3,10),(4,8)and(4,9)in terms of their planar arrays of degenerate Feynman diagrams.We then implement simple compatibility criteria together with an addition operation between arrays and recover the full collections/arrays for such cases.Along the way,we implement hard and soft kinematical limits,which provide a map between the poles in kinematic space and their combinatoric arrays.We use the operation to give a proof of a previously conjectured combinatorial duality for arrays in(k,n)and(n-k,n).We also outline the relation to boundary maps of the hypersimplex △k,n and rays in the tropical Grassmannian Tr(k,n).

    Nonlocal symmetries,soliton-cnoidal wave solution and soliton molecules to a(2+1)-dimensional modified KdV system

    Jianyong WangBo Ren
    14-21页
    查看更多>>摘要:A(2+1)-dimensional modified KdV(2DmKdV)system is considered from several perspectives.Firstly,residue symmetry,a type of nonlocal symmetry,and the Bäcklund transformation are obtained via the truncated Painlevé expansion method.Subsequently,the residue symmetry is localized to a Lie point symmetry of a prolonged system,from which the finite transformation group is derived.Secondly,the integrability of the 2DmKdV system is examined under the sense of consistent tanh expansion solvability.Simultaneously,explicit soliton-cnoidal wave solutions are provided.Finally,abundant patterns of soliton molecules are presented by imposing the velocity resonance condition on the multiple-soliton solution.

    Stability analysis of a time-delayed Van der Pol-Helmholtz-Duffing oscillator in fractal space with a non-perturbative approach

    Yusry O El-Dib
    22-31页
    查看更多>>摘要:The time-delayed fractal Van der Pol-Helmholtz-Duffing(VPHD)oscillator is the subject of this paper,which explores its mechanisms and highlights its stability analysis.While time-delayed technologies are currently garnering significant attention,the focus of this research remains crucially relevant.A non-perturbative approach is employed to refine and set the stage for the system under scrutiny.The innovative methodologies introduced yield an equivalent linear differential equation,mirroring the inherent nonlinearities of the system.Notably,the incorporation of quadratic nonlinearity into the frequency formula represents a cutting-edge advancement.The analytical solution's validity is corroborated using a numerical approach.Stability conditions are ascertained through the residual Galerkin method.Intriguingly,it is observed that the delay parameter,in the context of the fractal system,reverses its stabilizing influence,impacting both the amplitude of delayed velocity and the position.The analytical solution's precision is underscored by its close alignment with numerical results.Furthermore,the study reveals that fractal characteristics emulate damping behaviors.Given its applicability across diverse nonlinear dynamical systems,this non-perturbative approach emerges as a promising avenue for future research.

    Rogue waves for the(2+1)-dimensional Myrzakulov-Lakshmanan-Ⅳ equation on a periodic background

    Xiao-Hui WangZhaqilao
    32-42页
    查看更多>>摘要:In this paper,the rogue wave solutions of the(2+1)-dimensional Myrzakulov-Lakshmanan(ML)-IV equation,which is described by five component nonlinear evolution equations,are studied on a periodic background.By using the Jacobian elliptic function expansion method,the Darboux transformation(DT)method and the nonlinearization of the Lax pair,two kinds of rogue wave solutions which are expressed by Jacobian elliptic functions dn and cn,are obtained.The relationship between these five kinds of potential is summarized systematically.Firstly,the periodic rogue wave solution of one potential is obtained,and then the periodic rogue wave solutions of the other four potentials are obtained directly.The solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.

    Bethe ansatz solutions of the 1D extended Hubbard-model

    侯海洋孙佩乔艺许小甜...
    43-50页
    查看更多>>摘要:We construct an integrable 1D extended Hubbard model within the framework of the quantum inverse scattering method.With the help of the nested algebraic Bethe ansatz method,the eigenvalue Hamiltonian problem is solved by a set of Bethe ansatz equations,whose solutions are supposed to give the correct energy spectrum.

    Conserved vectors and symmetry solutions of the Landau-Ginzburg-Higgs equation of theoretical physics

    Chaudry Masood KhaliqueMduduzi Yolane Thabo Lephoko
    51-65页
    查看更多>>摘要:This paper is devoted to the investigation of the Landau-Ginzburg-Higgs equation(LGHe),which serves as a mathematical model to understand phenomena such as superconductivity and cyclotron waves.The LGHe finds applications in various scientific fields,including fluid dynamics,plasma physics,biological systems,and electricity-electronics.The study adopts Lie symmetry analysis as the primary framework for exploration.This analysis involves the identification of Lie point symmetries that are admitted by the differential equation.By leveraging these Lie point symmetries,symmetry reductions are performed,leading to the discovery of group invariant solutions.To obtain explicit solutions,several mathematical methods are applied,including Kudryashov's method,the extended Jacobi elliptic function expansion method,the power series method,and the simplest equation method.These methods yield solutions characterized by exponential,hyperbolic,and elliptic functions.The obtained solutions are visually represented through 3D,2D,and density plots,which effectively illustrate the nature of the solutions.These plots depict various patterns,such as kink-shaped,singular kink-shaped,bell-shaped,and periodic solutions.Finally,the paper employs the multiplier method and the conservation theorem introduced by Ibragimov to derive conserved vectors.These conserved vectors play a crucial role in the study of physical quantities,such as the conservation of energy and momentum,and contribute to the understanding of the underlying physics of the system.

    Dynamics of 2×2 matrix non-Hermitian quantum systems on Bloch sphere

    Libin Fu
    66-71页
    查看更多>>摘要:By casting evolution to the Bloch sphere,the dynamics of 2 x 2 matrix non-Hermitian systems are investigated in detail.This investigation reveals that there are four kinds of dynamical modes for such systems.The different modes are classified by different kinds of fixed points,namely,the elliptic point,spiral point,critical node,and degenerate point.The Hermitian systems and the unbroken PT non-Hermitian cases belong to the category with elliptic points.The degenerate point just corresponds to the systems with exceptional point(EP).The topological properties of the fixed point are also discussed.It is interesting that the topological charge for the degenerate point is two,while the others are one.

    Nonclassical correlations in two-dimensional graphene lattices

    Hao Wang
    72-79页
    查看更多>>摘要:We investigate nonclassical correlations via negativity,local quantum uncertainty(LQU)and local quantum Fisher information(LQFI)for two-dimensional graphene lattices.The explicitly analytical expressions for negativity,LQU and LQFI are given.The close forms of LQU and LQFI confirm the inequality between the quantum Fisher information and skew information,where the LQFI is always greater than or equal to the LQU,and both show very similar behavior with different amplitudes.Moreover,the effects of the different system parameters on the quantified quantum correlation are analyzed.The LQFI reveals more nonclassical correlations than LQU in a two-dimensional graphene lattice system.

    Doped holographic superconductors in the Gubser-Rocha model

    Ziyi ZhaoWenhe CaiShuta Ishigaki
    80-92页
    查看更多>>摘要:We construct a doped holographic superconductor in the Gubser-Rocha model,and realize a superconducting dome in the middle of the temperature-doping phase diagram.It is worth noting that unlike in previous research,the profile of our dome shrinks inward near to zero temperature.From the numerical observation for the coupling dependence of the phase diagram,we find that the coupling between the two gauge fields plays a crucial role in the formation of the dome.We also analytically calculate the DC conductivity of the normal phase of the system in the momentum dissipation and obtain resistivity which is proportional to the temperature.The AC conductivity is calculated numerically.

    Dissociation cross sections of ψ(3770),ψ (4040),ψ(4160),and ψ(4415)mesons with nucleons

    Ruo-Qing DingXiao-Ming XuH J Weber
    93-112页
    查看更多>>摘要:We study the dissociation of ψ(3770),ψ(4040),ψ(4160),and ψ(4415)mesons in collision with nucleons,which takes place in high-energy proton-nucleus collisions.The quark interchange between a nucleon and a cc meson leads to the dissociation of the cc meson.We consider the reactions:pR → Λc+(D)0,pR → Λc+(D)*0,pR→∑c++D-,pR → ∑c++D*-,pR → ∑c+(D)0,pR → ∑c+(D)*0,pR→ ∑c*++D-,pR → ∑c*++D*-,pR →∑c*+(D)0,and pR → ∑c*+(D)*0,where R stands for ψ(3770),ψ(4040),ψ(4160),or ψ(4415).A reaction of a neutron and a cc meson corresponds to a reaction of a proton and the c(c)meson by replacing the up quark with the down quark and vice versa.Transition-amplitude formulas are derived from the S-matrix element.Unpolarized cross sections are calculated with the transition amplitudes for scattering in the prior form and in the post form.The cross sections relate to nodes in the radial wave functions of ψ (3770),ψ(4040),ψ(4160),and ψ(4415)mesons.