1988年, 第10卷, 第2期　
刊出日期：1988-09-15

  

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  THE MEASURE OF CHAOTIC PARAMETER FOR ONE-DIMENSIONAL UNIMODAL MAPPING f(x)=1-a|x|^Z

  高广图, 胡岗

  理论物理通讯. 1988, 10(2): 127-134.

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  The asymptotic behavior of the accumulation point a_∞ for the one-dimensional unimodal mapping (x)=1-a|x|^Z is studied in the Limit Z→∞. We find that a_∞～2-lnZ/Z, as Z→∞. The measure of chaotic parameter for this mapping is also investigated. It decreases exponentially as the exponent z increases.
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  IMPROVEMENT ON THE MIGDAL-KADANOFF RENORMALIZATION TRANSFORMATION

  唐坤发, 叶青, 胡嘉祯

  理论物理通讯. 1988, 10(2): 135-141.

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  A migdal-Kadanoff transformation is improved by using the mean-field approximation to find the relation between the coupling constants of the restructured lattice and the on ginal one.Calculations of the critical coupling and exponents for the Ising model showed much improvement, even for small clusters, compared with the results of MK calculations.
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  ANALYTICAL CALCULATION OF BIFURCATION POINTS IN STANDARD MAPPING

  汪秉宏, 王光瑞

  理论物理通讯. 1988, 10(2): 143-159.

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  For standard mapping, we calculate analytically the values of non-integrable parameter K where the period 1 to 4 orbits variate their stability via tangent bifurcation, period doubling bifurcation and period equal bifurcation.Hence, the analytical stable windows of periodic orbits are given and a complete picture can be seen for the behaviour of bifurcation of periodic motion in standard mapping.
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  LATTICE VIBRATION SPECTRA IN ONE-DIMENSIONAL CONDUCTORS

  凌帆, 吴长勤, 孙鑫

  理论物理通讯. 1988, 10(2): 161-168.

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  For one-dimensional conductors with half- filled band, the lattice vibration spectra, both acoustic and optical branches, are obtained analytically in the dimerized state. It is shown that, there exist not only a gap in k=π/2 Brillouin zone boundary,but also a gap between the optical and acoustic phonon branches when the electron-lattice coupling cons- taut λ is Larger than λ_c(=0.21). Then,the frequency of the Staggered mode around solitons can be described analytically for any coupling constant λ.
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  ITINERANT ELECTRON SPECTRUM IN BETHE LATTICES

  王小飞, 林宗涵

  理论物理通讯. 1988, 10(2): 169-179.

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  The canoraical transformation method proposed by Urias and Falicov is generalized to a Hamil- tonian in which both hybridization and correlation are included. Mixed-Bethe-Lattice (MBL) proposed by Moran-Lopez and Falicov is revised to represent layers of a film. The equation of Green's func- tion matrix is obtained and solved for bulk, surface, Zayer-by-Zayer case in Bethe Lattices。
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  IRREDUCIBLE VERTEX OPERATOR FOR TEMPERATURE 2τ AND REAL TIME GREEN's FUNCTIONS 1. GENERAL FORMALISM

  吴式枢

  理论物理通讯. 1988, 10(2): 181-198.

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  A method is proposed for the derivation of the irreducible vertex operator for the temperatune 2t as well as the real time 2t Green function. Rigorous}expressions are obtained and their usefulness is discussed. Furthermore, a preferable choice.of single particle basis is suggested.
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  CONSTRUCTION OF INTERACTING ACTIONS OF BOSONIC OPEN STRINGS AND CLOSED STRINGS BY SYMMETRY PRINCIPLES

  周咸建

  理论物理通讯. 1988, 10(2): 199-214.

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  Following Kaku's way, various interacting actions of bosonic open strings as well as closed strings are constructed, which are invariant under. local reparametrization transformations, string group and global transformations of a Lie group. Similar to open string, a multiplication rule of closed string fields is given which also satisfies associative law as in open string case.
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  WAVE FRONT SOL盯IONS AND STABILITY PROBLEM OF A MODEL DESCRIBING TISSUE GROWTH

  吴运清, 漆安慎

  理论物理通讯. 1988, 10(2): 215-220.

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  A biological model describing tissue growth under the inhibition of chalones is investigated. Wave solutions and their stability properties are worked out.
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  DETERMINING DIRECTION OF SECOND ORDER STRUCTURAL PHASE TRANSITION AT POINT FOR ALL 230 SPACE GROUPS

  高俊铭, 崔湛

  理论物理通讯. 1988, 10(2): 221-239.

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  Using our new developed GRAPE system^[1], we calculated the group theoretical criteria in the Landau theory of the second order phase transi- tions. The possible directions of the second order structural phase transitions at r point for all 230 space groups were tabulated. Some errors in several existing tables and published results are discovered and corrected.
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  θ-ANGLE AND THE THREE-DIMENSIONAL CHERN SIMONS TERM

  赵万云

  理论物理通讯. 1988, 10(2): 241-245.

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  Compactification of the θ-term for QCD in the high temperature limit leads to a relation between θ-angle and the gluon magnetic mass μ. The quantization on θ-angle at high temperature arises from the quantization on μ.
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  THE CALCULATION OF THE TALMI-MOSHINSKY COEFFICIENT OF 4-BODY SYSTEMS BY USING THOSE OF 3-BODY SYSTEMS

  鲍诚光, 何锦昌

  理论物理通讯. 1988, 10(2): 247-250.

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  By decomoosing the elements of the O(3) group into a product of those of the O(2) sub-group, a procedure is to express the Talmi-Moshinsky coefficients of the 4-body systems with arbitrary masses by using those of the 3-body systems.