q—光子湮没算符四次方本征态的非经典特征

构造和讨论了ａ＾４ｑ的四个正交归一本征态压缩和反聚束两种非经典效应，并研究量子群ｑ变形参量对此产生的影响。     

He-McKellar-Wilkens Effect in Noncommutative Space

The He-McKellar-Wilkens （HMW） effect in non-commutative （NC） space is studied. By solving the Dirac equations on NC space, we obtain topological HMW phase in NC space where the additional terms related to the space non-commutativity are given explicitly.     

q－光子湮没算符四次方本征态的非经典特性

构造和讨论了的四个正交归一本征态压缩和反聚束两种非经典效应，并研究量子群ｑ变形参量对此产生的影响。     

The Critical Properties of One—Dimensional Extended Hubbard Model

In the framework of nonperturbative quantum field theory,the critical phenomena of one-dimensional extended Hubbard model (EHM) at half-filling are discussed from weak to intermediate interactions.After the EHM being mapped into two decoupled sine-Gordon models,the ground state phase diagram of the system is derived in an explicit way.It is confirmed that the coexisting phases appear in different interaction regimes which cannot be found by conventional theoretical methods.The diagram shows that there are seven different phase regions in the ground state,which seems not to be the same as previous discussions,especially the boundary between the phase separation and condensed phase regions.The phase transition properties of the model between various phase regions are studied in detail.     

A Quasi—One—Dimensional Model for a Solar Flux Tube

We develop the quasi-one-dimensional flux tube model with magnetohydrodynamical equations.In order to know whether the magnetic field can maintain their similar structure from photosphere to chromosphere,we suppose that the flux tube is thin in radius relative to the length,and that the quantities in the cross section are averaged.The radii of the flux tube and the magnetic field are numerically simulated.One of the important results shows that the flux tube does not expand as quickly as the existing model when it is out of the photoxphere with high velocity.This is consistent with observations of the magnetic field in the photosphere and chromosphere.     

Critical Behaviour of the One—Dimensional Ferromagnetic t—J Model

The one-dimensional super-symmetric ferromagnetic t-J model is studied via the thermal Bethe ansatz.Analytic expressions of the free energy for T→O are obtained.A new critical behaviour beyond the universal class of Luttinger Liquids is found in this system.     

Formation of Singularities in One—Dimensional Hydromagnetic Flow

Two results on the formation of singularities in solutions to the system of one-dimensional hydromagnetic dynamics are presented.In particular,it is shown that shocks form from a smooth spatial periodic flow in a finite time if the initial amounts of entropy and the “magnetic field” in each period are smaller than those of sound waves.A quantitative estimate of blow-up time is also given.     

Direct Current Hopping Conductivity in One—Dimensional Nanometre Systems

A one-dimensional random nanocrystalline chain model is established.A dc electron-phonon-field conductance model of electron tunnelling transfer is set up,and a new dc conductance formula in one-dimensional nanometre systems is derived.By calculationg the dc conductivity,the relationship among the electric field,temperature and conductivity is analysed.and the effect of the crystalline grain size and the distrotion of interfacial atoms on the dc conductance is discussed.The result shows that the nanometre system appears the characteristic of negative differential dependence of resistance and temperature at low temperature.The dc conductivity of nanometre systems varies with the change of electric field and trends to rise as the crystalline grain size increases and to decrease as the distroted degree of interfacial atoms increases.     

非对易量子力学中中性原子在外电磁场中的朗道能级量子化

在非对易量子力学的框架中研究了中性原子在外加电磁场中运动时的朗道能级量子化问题.首先给出了中性原子体系在非对易量子力学中的哈密顿量,然后分别求解了非对易空间和非对易相空间中的薛定谔方程,并得到相应的朗道能级和本征波函数,同时给出了由于空间非对易性引起的能量修正项.     

q变形对相干态及其反聚束效应

利用q变形玻色产生算符和湮没算符及其逆算符的性质，引入了q变形的两种对相干态，研究了q变形对相干态的反聚束效应和两模间的关联特性. 结果表明，q变形对相干态呈现反聚束效应，两模的光子相互关联，并且q参数对这些非经典特性的调节比较明显，随着q偏离1越大，这些特性越明显.     

Hydrogen Atom Spectrum in Noncommutative Phase Space

We study the energy levels of the hydrogen atom in the noncommutative phase space with simultaneous spacespace and momentum-momentum noncommutative relations, We find new terms compared to the case that only noncommutative space-space relations are assumed. We also present some comments on a previous paper [Alavi S A hep-th/0501215].     

Optimizing Synchronizability of Scale-Free Networks in Geographical Space

We investigate the relationship between the structure and the synchronizability of scale-free networks in geographical space. With an optimization approach, the numerical results indicate that when the network synchronizability is improved, the geographical distance becomes larger while the maximal load decreases. Thus the maximal betweenness can be a candidate factor that affects the network synchronizability both in topological space and in geographical space.     

Transport Properties in a One—Dimensional Chain with Randomly Side—Coupled Impurities

We investigate the transport properties of a one-dimensional(1D) chain with randomly side-coupled impurities,By using the transfer matrix technique,we present numerical results of the transmission coefficient as a function of the electron energy,It is found that an extended state will be shown in such a random 1D system if the impurities are side-coupled to the chain with not only the nearest-neighbour bonds but also the next-nearestneighbour bonds.We present an analytical expression for the energy of this extended state,which is determined by the strength of the nearest and next-nearest couplings between the impurities and the chain.The obtained results can be used to explain the transport properties of DNA chains and other quasi-1D organic structures.     

非对易空间中耦合谐振子的能级分裂

非对易空间效应的出现引起了物理学界的广泛兴趣。 介绍了非对易空间中量子力学的代数关系,在所考虑的空间变量的对易关系中包含了坐标 坐标的非对易性, 并且把 Moyal-Weyl 乘法在非对易空间中通过一个Bopp变换转变成普通的乘法。 然后给出了非对易空间中耦合谐振子的能级分裂情况。 The effect of noncommutativity of space have caused the physical academic circles widespread interest. In this paper, the non commutative (NC) is introduced, which contain non commutative of coordinate coordinate, and find that the Moyal Weyl product in NC space can be replaced with a Bopp shift. Then, the energy splitting of the coupling harmonic oscillator in non commutative spaces are discussed.     

非对易空间R2N的转动及其实现

给出非对易R^2N中坐标辛变换对应的幺正变换的实现;给出这种幺正变换引起的波函数的变化,也就是在Hilbert空间的幺正变换的矩阵元     

Perturbation of Massive Scalar Field in Three—Dimensional Spherical de Sitter Space—time

We obtain exact expressions of quasi-normal modes in three-dimensional spherical de Sitter space-time,Exact agreement is found between the quasi-normal frequencies and the location of poles of the retarded correlation function of the corresponding perturbations in the dual conformal field theory.Our results exhibits the deSitter/conformal-field theory correspondence in three-dimensional spherical space-time.     

光子数增加的q—相干态的非线典特性

在推广的对易关系ａａ＾＋－ｑａ＾＋ａ＝１下，研究了光子数增加的ｑ－相干态的量子统计性质，利用形变的ｑ－Ｌａｇｕｅｒｒｅ多项式，给出了其经典特性随形变参数ｑ变化的解析表达式。     

Equivalent Antisymmetry Performance of Three—Dimensional Heterogeneous Anisotropic Composites

Starting from the physical features of materials, heterogeneous anisotropic composites (HAGs) are analysed on the basis of the understanding and applications of its equivalent antisymmetry performance. Moreover, the design parameter is optimized to attain the goal of maximizing the use of materials, which is quite meaningful. The HAG structure is defined as a kind of equivalent structures according to the structure and properties of materials.We apply the mature plate theory and the composite materials laminate theory in analysis of the HAG structure,and in this way a new concept and a new idea are expected.     

The Geometric Construction of WZW Effective Action in Noncommutative Manifold

By constructing close-one-cochain density Ω^12n in the gauge group space we get the Wess-Zumino-Witten (WZW) effective Lagrangian on high-dimensional noncommutative space.Especially consistent anomalies derived from this WZW effective action in noncommutative four-dimensional space coincide with those obtained by L.Bonora etc.(het-th/0002210).