1997年, 第27卷, 第3期　
刊出日期：1997-04-30

  

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  Boundary A₁⁽¹⁾ Face Model

  Bo-Yu HOU, Wen-Li YANG

  理论物理通讯. 1997, 27(3): 257-262.

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  In this paper, we study the boundary state and its dual state in A₁⁽¹⁾ face model with a fixed boundary weight condition, which corresponds to the diagonal solution to boundary Yang-Baxter equation in face model. We also give the correlation functions in this boundary A₁⁽¹⁾ face model.
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  Possible Signatures of the 2⁺⁺ Glueball and Ω(2230)

  Kuang-Ta CHAO

  理论物理通讯. 1997, 27(3): 263-264.

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  Based on a bound constituent gluon picture and the gluon anomaly in QCD, I argue that the decay branching ratios of the 2++ glueball candidate ((2230) may satisfy B(Ω→ η'η')≥0.6B(Ω→ ηη'),B(Ω→ ηη')≥5.6B(Ω→ ηη),and B(Ω→ ηη)≥B(Ω→ππ). These features might provide a useful test for Ω(2230).
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  Study of Some Properties of Two-Level Atom in Quantum Optics

  Rui-Hua XIE, Gong-Ou XU, Dun-Huan LIU

  理论物理通讯. 1997, 27(3): 265-278.

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  With the concept of negative photon and the K-photon J C model, we investigate analytically the effect of virtual photon field on the collapse revival effect of atomic inversion and squeezing of atom, we find that there is a significant effect of virtual photon field on atomic inversion and squeezing of atom; with the one-photon model as an example, we find that the squeezing of atom occurs periodically, the time and times of squeezing are only related to the resonance frequency and the amplitude of squeezing related to coupling constant of atom field, mean photon number and resonance frequency; also we show that the effect of squeezing of atom does not exist within rotating wave approximation if K≥3. Taking the approach of nearest-neighboring spectrum in the quantum chaos field, we investigate the properties of energy spectrum in one-photon JC model and show that the integrable region,non-integrable region and transition region of this system can be illustrated by a phase diagram;also we discuss the influence of interaction of atoms on spectrum and Δ₃ statistics of adjacent energy levels, we find that the influence of interaction is little obvious in strong field but takes great important role in weak field.
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  Theoretical Calculation of Energy Levels of a Hydrogen Atom in a Strong Magnetic Field

  Shian-Quan HU, Zhen-Qi LIN

  理论物理通讯. 1997, 27(3): 279-284.

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  The eleven low-lying energy levels of a hydrogen atom, and its mean radius in a uniformly high magnetic field B are calculated in a simple variational approach. The potential term containing squared magnetic field in Hamiltonian operator is separated into spherically and nonspherically symmetric potentials. The influence over levels and radius of the hydrogen atom is discussed. The results are in good agreement with the recent literatures, but more accurate. We find that the stronger the'magnetic field is, the smaller the mean radius of the hydrogen atom is.
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  Energy Matrix of the d³ Configuration in Trigonal Field and Analysis of the Entire Energy Spectrum of Ruby

  Yan-Yun LIU, Dong-Ping MA, De-Chao WANG, Ju-Rong CHEN

  理论物理通讯. 1997, 27(3): 285-291.

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  By using the strong-field scheme, we have calculated all the reduced matrix elements and the matrix elements of the trigonal crystal field and all the matrix elements of the spinorbit interaction for the d³ electronic configuration: The complete energy matrix of the d³ configuration in trigonal field has been constructed. This matrix has been diagonalized to fit the experimental optical and microwave spectral data of ruby. The calculated results are in good agreement with the experimental data. In particular, the zero-field splitting δ of the ground state and the splitting between R₁ and R₂ lines agree very well with the experimental results. The assignments of all the energy levels and the rates of change of the levels with respect to various parameters are given. The contributions from various parameters to δ and the splitting between R₁ and R₂ lines are also given.
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  An Impurity in One-Dimensional Interacting Fermion

  Guo-Hui DING, Bo-Wei XU

  理论物理通讯. 1997, 27(3): 292-296.

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  The bosonization method is applied to the problem of the one-dimensional interacting fermion system with an impurity. The phase transition at zero temperature of this system is investigated by the renormalization group method.
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  Symmetry Group of C₆₀ Structure: Coordinate and Matrix Representation

  Yi-Qin WU, Yu-Lin WU, Tu-Nan RUAN

  理论物理通讯. 1997, 27(3): 297-304.

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  In this paper, we present the coordinate and the matrix representation of the icosahedron by using a direct and simple method of vector analysis.
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  Exact Dynamical Equations of Three-State Ising Neural Network Derived from a Generating Functional

  Bei-Lai HU

  理论物理通讯. 1997, 27(3): 305-310.

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  The exact equations of parallel dynamics for three-Ising neural networks at zero temperature are derived from a generating functional. The generating functional is proposed to be a δ-function to fit the dynamical rule of three-Ising model. The dynamical equations obtained in the case without self-coupling terms are in agreement with the published results derived with a probabilistic approach, which shows that this approach can be used to advantage in calculating the exact dynamical equations and other order parameters for multistate Ising neural networks.
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  On-Off Intermittency in Continuous Systems

  Gang HU, Zhi-Lin QU, Fa-Gen XIE, Shun-Quan SHU

  理论物理通讯. 1997, 27(3): 311-316.

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  On-off intermittency is investigated for the model χ= (a + Г(t))χ-χ³ with Г(t) being a stochastic force. The laminar phase distribution ω(T) is studied in the parameter space of bifurcation parameter a, noise intensity D and noise correlation time τ. It is found that increasing D may stabilize the fixed point χ= 0 and reduce the exponential tail in ω(T) for a>0. An analytical solution of the laminar phase distributions is obtained for white noise and colored noise cases, respectively, which agrees with numerical simulations well.
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  The Rotational Limit of the Interacting Boson Model 3

  G. L. LONG, Cui-Yun GAN, Tong-Ye SHEN

  理论物理通讯. 1997, 27(3): 317-324.

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  The SU(3) limit of the isospin invariant IBM-IBM3 is studied. The decomposition rules are given for N≤9. An analytical formula for the decomposition of the U(6) [N, 1] is given. Typical spectrum is discussed. Different forms of the interaction and their relation are obtained. Transition operators are also discussed.
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  The Process e⁺e^-→tc in Technicolor Model with a Massless Scalar Doublet

  Xue-Lei WANG, Bin HUANG, Gong-Ru LU, Ya-Dong YANG, Hai-Bo LI

  理论物理通讯. 1997, 27(3): 325-330.

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  At LEPⅡ (the energy: √s = 200 GeV), we carry out precise calculations on the process e⁺e^-→tc in the framework of technicolor model with a massless scalar doublet. The results show that the process is unmeasurably small in this TC model.
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  Implication on Two Higgs Doublet Models from the Latest b→sγ Measurement and Top Discovery

  Chao-Hsi CHANG, Cai-Dian LÜ

  理论物理通讯. 1997, 27(3): 331-336.

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  With the fresh experimental bounds of b→sγ issued by CLEO and the value of the topquark mass by CDF and DO, the constraints on the two Higgs doublet models (2HDM) are re-examined. In the examination an effective Lagrangian is used, which contains all of the energy scale evolution not only from the W boson mass to the bottom-quark mass but also from the top-quark mass to W boson mass for the QCD corrections. As a result, it is implied that the constraint on the mass of the charged Higgs boson emerging in the concerned models turns to be more stringent than that achieved by the earlier analyses.
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  Truncated Eigenvalue Equation and Long Wavelength Behavior of Lattice Gauge Theory

  Q. Z. CHEN, P. F. CAI, X. Y. FANG, S. H. GUO

  理论物理通讯. 1997, 27(3): 337-342.

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  The truncated eigenvalue equations of lattice gauge theory are studied using truncation scheme that preserves the continuum limit. The order mixing problem due to the unimodular condition of SU(N) group is studied. The third-order and the fourth-order results for long wavelength wavefunction and the mass gap of (2+1)-dimensional SU(2) theory are presented using various prescriptions for the definition of the order of a graph.
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  General Covariant Conservative Angular Momentum for Topologically Massive Gravity

  Yi-Shi DUAN, Sze-Shiang FENG

  理论物理通讯. 1997, 27(3): 343-348.

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  We obtain the general covariant conservation law of angular momentum for gravitational anyons by means of global rather than local S0(1,2) transforms. Two examples show that i our conservation law is reasonable. The general covariance suggests that this definition of angular momentum is better than the usual flux-integral definition.
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  Synchronization in Nonlinear Three-Dimensional Double-Diffusive Convection systems

  H. P. FANG

  理论物理通讯. 1997, 27(3): 349-356.

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  The twelve-mode truncation of a three-dimensional double-diffusive convection model is studied.This system possesses an interchange symmetry (will be defined in the text). Exact and rough synchronizations based on this symmetry are observed.
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  Wavefunction of Wormhole in the Einstein-Yang-Mills Theory

  You-Gen SHEN

  理论物理通讯. 1997, 27(3): 357-360.

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  In this paper, the wavefunction of wormhole in the Einstein-Yang-Mills theory is presented by using the method proposed by Hawking. Analysing the wavefunction obtained, we find that the probability density of quantum wormhole at a = 0 is zero and there is the most probable radius for the ground-state wavefunction of wormhole. It indicates that the quantum wormhole is stable.
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  The Perturbation Effect of Rotating Solar Polytropic Model on the Variation of Planetary Orbital Elements

  Lin-Sen LI

  理论物理通讯. 1997, 27(3): 361-366.

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  In this paper the author examines the perturbation effect of rotating solar polytropic model on the variation of planetary orbital elements by the method of general perturbation in celestial mechanics and the polytropic model ofgaseous star in astrophysics. The perturbation variables of planetary orbital elements caused by the rotation, oblateness and central density of the sun for the polytropic index n = 3 are derived. The result shows clearly that the periodic perturbation effects are the orbital elements of all and the secular perturbation effects are the variation of the longitudes of perihelion, the ascending node and the mean anomaly of epoch. Finally, the author applies the obtained theoretical results to a calculation of the variation of orbital elements of four planets. The numerical results are given in Table 1.
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  The q-Deformed Energy Gap Equation in SL_q(2) Superconductive Thermodynamic Model

  Jun YAN, Xiao-Ming QIU

  理论物理通讯. 1997, 27(3): 367-368.

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  The q-deformed energy gap equations in SL_q(2) superconductive thermodynamic model are derived by using quantum group method.
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  Two-Parameter Deformed Quantum Algebra SU_q,s(4)

  Zhao-Xian YU, De-Xing ZHANG, Ge YU, Ye-Hou LIU

  理论物理通讯. 1997, 27(3): 369-370.

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  The commutation relations of thegenerators of the two-parameter deformed quantum algebra SU_q,s(4) are given and irreducible q,s-tensor operators of rank (1/2) of the quantum algebra SU_q,s(2) are constructed.
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  A Description of the ¹²C+¹²C Scattering Excitation Function by an α-Folding Potential

  Yong-Xu YANG, Qing-Run LI

  理论物理通讯. 1997, 27(3): 371-372.

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  A folding potential constructed from the point of view of the α-Particle structure of the nucleus ¹²C can well reproduce the recent experimental data of the ¹²C+¹²C elastic excitation function at θ = 78°.
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  On the Variation of Nuclear Energy Level Statistics Versus the Structure Parameter Χ

  Yu-Xin LIU, En-Guang ZHAO, Jian-Gang SONG, Gui-Lu LONG, Hong-Zhou SUN

  理论物理通讯. 1997, 27(3): 373-376.

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  The physical implication of the changing feature of nuclear energy level statistics versus the structure parameter Χ is discussed in this letter. It indicates that the changing characteristic is an evidence that the continuous dynamical transformation, which cannot be represented by the generators of the corresponding dynamical group, is a necessary condition for chaotic motion taking place in the process of evolution.
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  An Improvement on RPA Based on a Boson Description

  Shi-Lin ZHU, Zhi-Ning ZHOU, Ze-Sen YANG

  理论物理通讯. 1997, 27(3): 377-380.

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  We use a solvable model to perform modified Dyson mapping and reveal the unphysical-state effects in the original random phase approximation (RPA). We then propose a method to introduce the RPA and improve it based on the boson description.
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  Canonical Quanta1 Symmetry and Conserved Charges for a System with Higher-Order Lagrangian

  Zi-Ping LI

  理论物理通讯. 1997, 27(3): 381-384.

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  Based on the phase space generating functional of Green function for a system with regular higher-order Lagrangian, the conserved charge is deduced at quantum level if the canonical action is invariant under the global symmetry transformation in extended phase space. The generalization of our results to a system with singular higher-order Lagrangian is also studied. In general the quantal conserved charges are different from classical ones.