查看更多>>摘要：As a torqued version of the lattice potential Korteweg-de Vries equation,the H1ais an integrable nonsymmetric lattice equation with only one spacing parameter.In this paper,we present the Cauchy matrix scheme for this equation.Soliton solutions,Jordan-block solutions and soliton-Jordan-block mixed solutions are constructed by solving the determining equation set.All the obtained solutions have jumping property between constant values for fixed n and demonstrate periodic structure.
查看更多>>摘要：By means of the multilinear variable separation(MLVS)approach,new interaction solutions with low-dimensional arbitrary functions of the(2+1)-dimensional Nizhnik-Novikov-Veselov-type system are constructed.Four-dromion structure,ring-parabolic soliton structure and corresponding fusion phenomena for the physical quantity U=λ(lnf)xy are revealed for the first time.This MLVS approach can also be used to deal with the(2+1)-dimensional Sasa-Satsuma system.
查看更多>>摘要：In this study,the exact solutions for the propagation of pulses in optical fibers are obtained.Special values are given in the model used,and two nonlinear differential equations are obtained.Nonlinear equations are reduced to ordinary differential equations with the help of wave transformations.Then,the obtained differential equations are solved by two different methods,namely the modified simplest equation and the modified Kudryashov procedures.The solutions are given by hyperbolic,trigonometric and rational functions and the results are useful for optics,engineering and other related areas.Finally three-dimensional,contour and two-dimensional shapes are given for some solutions.These figures are important for understanding the motion of the wave.The given methods are applied to the equations for the first time.To the best of the authors'knowledge,these results are new and have not been obtained in the literature.The results are useful for applied mathematics,physics and other related areas.
查看更多>>摘要：A gas sensor can convert external gas concentration or species into electric voltage or current signals by physical adsorption or chemical changes.As a result,a gas sensor in a nonlinear circuit can be used as a sensitive sensor for detecting external gas signals from the olfactory system.In this paper,a gas sensor and a field-effect transistor are incorporated into a simple FithzHugh-Nagumo neural circuit for capturing and encoding external gas signals.An improved functional neural circuit is obtained,and the effect of gas concentration,gas species and neuronal activity can be discerned as the gate voltage,threshold voltage and activation coefficient of the field-effect transistor,respectively.The gas concentration can affect the neural activities from quiescent to normal working and,finally,to saturation state in bursting,spiking,periodic and chaotic firings with different frequencies.The effects of gas species and neuronal activity on the firing state can also be achieved in this functional neural circuit.In addition,variations in the gate voltage,threshold voltage and activation coefficient can cause switching between different firing modes.These results can be helpful in designing artificial olfactory devices for bionic gas recognition and other coupled systems arising in applied sciences.
查看更多>>摘要：Effective propagation of information among multiple users is the purpose of realizing large-scale quantum communication networks.In this paper,multicast protocols for any single,two and three qubits with real amplitude and complex phase information are presented.They were realized using a composite of Greenberger-Horne-Zeilinger states as shared channels.Joint remote state preparation was the main method for completing quantum multicast.At the same time,quantum state tomography of the schemes was carried out on the IBM Quantum platform.The obtained states were compared with the target states by fidelity.The analysis of communication efficiency and noise effects shows that our protocol has advantages in the case of complex coefficients.
查看更多>>摘要：The Greenberger-Horne-Zeilinger(GHZ)paradox shows that it is possible to create a multipartite state involving three or more particles in which the measurement outcomes of the particles are correlated in a way that cannot be explained by classical physics.We extend it to witness quantum networks.We first extend the GHZ paradox to simultaneously verify the GHZ state and Einstein-Podolsky-Rosen states on triangle networks.We then extend the GHZ paradox to witness the entanglement of chain networks consisting of multiple GHZ states.All the present results are robust against the noise.
查看更多>>摘要：We solved the Dyson-Schwinger(DS)equations for a two-flavor system with symmetry to study its flavor mixing effects.Initially,we employed the point interaction model and bare vertex approximation to reveal the structure of the solutions.Using the point interaction model,the DS equations can be solved analytically,and we found that these solutions can be classified into three groups,each forming an ellipse.These solutions exhibit SO(2)symmetry,while the original SU(2)symmetry at the Lagrangian level is dynamically broken to SO(2),corresponding to the emergence of flavor mixing effects.However,this flavor mixing effect does not manifest in the final physical state.By utilizing the system's SO(2)symmetry,we can diagonalize the propagators of the DS equations,eliminating the flavor mixing effect but causing the originally degenerate masses at the Lagrangian level to split.These mass eigenstates have identical quantum numbers but different masses.If we can correspond these to quark particles of different generations,we can explain why the three generations of quarks have different masses and obtain the corresponding quark mass spectrum.Finally,we provide the corresponding numerical results using a more realistic interaction model.
查看更多>>摘要：We discuss the possibility of constructing an effective gauge field theory of the nucleon interactions based on the ideas of isotopic invariance as well as hypercharge invariance as a local gauge symmetry and spontaneous breaking of this symmetry.The constructed effective field theory predicts the structure of interactions of protons and neutrons with ρ-and σ-mesons,and with pi-mesons and photons,as well as interactions of these particles with each other.The Lagrangian of the theory consists of several parts involving dimension 4 and 5 gauge invariant operators.Feynman rules for physical degrees of freedom that follow on from the Lagrangian define the structure of diagrams for one-boson exchanges between nucleons,predicting the internucleon one-boson-exchange potential as well as nucleon scattering amplitudes.The range of applicability of the effective theory is discussed and estimates are made of the resulting coupling constants.The theory predicts the mass of the neutral ρ0-meson to be about 1 MeV larger than the mass of the charged mesons ρ±.The vector w-meson,which is a sterile particle with respect to the considered gauge group SUI(2)×Uy(1),can be added to the scheme via a gauge-invariant operator of dimension 5,as shown in the appendix.
查看更多>>摘要：The Schrodinger equation with a Yukawa type of potential is solved analytically.When different boundary conditions are taken into account,a series of solutions are indicated as a Bessel function,the first kind of Hankel function and the second kind of Hankel function,respectively.Subsequently,the scattering processes of KK*and DD*are investigated.In the KK*sector,the f1(1285)particle is treated as a K(K)*bound state,therefore,the coupling constant in the K(K)*Yukawa potential can be fixed according to the binding energy of the f1(1285)particle.Consequently,a K(K)*resonance state is generated by solving the Schrodinger equation with the outgoing wave condition,which lies at 1417-i18 MeV on the complex energy plane.It is reasonable to assume that the KK*resonance state at 1417-i18 MeV might correspond to the f1(1420)particle in the review of the Particle Data Group.In the D(D)*sector,since the X(3872)particle is almost located at the D(D)*threshold,its binding energy is approximately equal to zero.Therefore,the coupling constant in the D(D)*Yukawa potential is determined,which is related to the first zero point of the zero-order Bessel function.Similarly to the K(K)*case,four resonance states are produced as solutions of the Schrodinger equation with the outgoing wave condition.It is assumed that the resonance states at 3885-i1 MeV,4029-i108 MeV,4328-i191 MeV and 4772-i267 MeV might be associated with the Zc(3900),the X(3940),the xc1(4274)and Xc1(4685)particles,respectively.It is noted that all solutions are isospin degenerate.
Hadi SobhaniYan-An LuoAmir JaliliHassan Hassanabadi...
92-98页
查看更多>>摘要：This study endeavors to develop an improved set of basis functions for nuclear shell-model calculations.The shell model,a well-established approach to understanding nuclear structure,typically employs the harmonic oscillator potential within the mean-field approximation.Given the extensive validation and consistency of harmonic oscillator results with experimental data,we propose a modification by incorporating a centrifugal term that converges toward the Davidson potential.This potential has been extensively studied,and we aim to extract relevant experimental data for the simplest cases in the shell model,namely one-particle and one-hole nuclei.A comprehensive comparison between the Davidson-based results and the harmonic oscillator calculations is presented to demonstrate the effectiveness of the new basis functions.
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