1987年, 第8卷, 第3期　
刊出日期：1987-10-30

  

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  A QUANTUM MECHANICAL DESCRIPTION FOR QUASI-LANDAU RESONANCES I:FORMULATION AND GENERAL PROPERTIES

  张宇, 张承修

  理论物理通讯. 1987, 8(3): 255-272.

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  The problem of a hydrogen atom in a strong magnetic field is solved quantum-mechanically in the (r,ρ,φ) coordinate system.The main part of the Hamillonian can be solved by separation variables and the remaining part is small and is treated as a perturbation,The zeroth order energy and wave function are obtained, the expression for the first perturbation energy is derived, the well-known quasi-Landau resonance interval 3/2h ω_C near thresold and the approximate scaling law ³γ≈1 are dediced amd the approximate dynamical symmetry possessed by this system is found.
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  ON THE NUMBER OF STABLE CYCLES IN THE CUBIC MAP

  曾婉贞

  理论物理通讯. 1987, 8(3): 273-280.

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  The number of periodic orbits (NPO) in the cubic map is calculated by using three methods. Two recursion formulae of NPO are suggested by studying the structure of bifurcation tykes of the cubic map in detail and by. considering the symmetry types of periodic.sequences.A simple criterion on deciding whether a cycle is admissible is derived. A11 methods yield consistent results which agree with namerical experiments.
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  ANALYTICAL STUDY OF A BIMODAL MAP RELATED TO OPTICAL BISTABILITY

  张洪钧, 戴建华, 王鹏业, 金朝鼎, 郝柏林

  理论物理通讯. 1987, 8(3): 281-294.

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  Using an analytical method proposed original-ly for the logistic map, we studied in detail the bifurcation diagram of a bimodal map related to a hybrid optical bistability device with liquid crystal as the nonlinear medium. In particular, we gave the equations of all the dark lines going through the chaotic region and all boundaries of the chaotic bands. We showed how to determine the parameter value for a given superstable period from corresponding word in the symbolic dynamics made of four letters.
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  THE DERIVATION OF A SUM RULE DETERMINING THE q-th ORDER INFORhIATION DIMENSION

  曾婉贞, 郝柏林

  理论物理通讯. 1987, 8(3): 295-301.

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  We give a straightforward derivation of formina (2),argued in a recent preprint of Hasley et al.^[2]
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  KONDO ANOMALIES OF THE HEAVY FERMION SYSTEMS

  李正中, 许望

  理论物理通讯. 1987, 8(3): 303-316.

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  The interdependences of the Iow temperature properties in heavy fermion compounds with the Kondo lattice parameters are obtained from a two-conduction band periodic s-f exchange model by using the Green’s function method .The results indicate that the anomalous Iow temperature properties of the specific heat,resistivity and the static magnetic susceptibility in the heavy fermion systems are all the characteristic fea- tures of the Xondo Iattice. The influences of the pressure on the Kondo temperature TX and on the superconducting transition temperature T_C in the heavy fermion systems are also discussed.
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  THE STUDY OF HYPERTRITON WITH THREE-BODY INTEGRAL EQUATION

  陈卫泉, 储连元

  理论物理通讯. 1987, 8(3): 317-324.

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  From a Faddeev-type integral equation for three-body bound state, the hypertriton binding energy is calculated by using the nonlocal two-body separable potential with the parameters taken from the scattering data of meson theoretical potential.The effects of n-p and N(n or p)-Λ interactions in three-body bound state are studied and the meson theoretical potentials of Refs.[1-3] are examined. The calculated results are reasonably close to the experimental values.The comparisons of our results with others are made.
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  SINGLE BREMSSTRAHLUNG PROCESSES IN QUANTUM GRAVITY

  Jos Geris, 苏守琪

  理论物理通讯. 1987, 8(3): 325-340.

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  We investigate single bremsstxahlung processes in gauge theories involving massless scalars and fermions interacting with photons and gravitons.As in QED and SU(N),we find that the cross sections are very simple and can be factorized in two parts:a generalized infrared factor and a factor which is related to the lowest order elastic process.
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  THE GENERAL CHERN-SIMONS CHARACTERISTIC CLASSES AND THEIR PHYSICAL APPLICATIONS

  吴岳良, 谢彦波, 周光召

  理论物理通讯. 1987, 8(3): 341-367.

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  Simple derivation of the general Chern-Simons characteristic classes is presented. Application to construct current conservation anomalies and effective action is discussed in detail.The effective action of nonlinear o model where the fermions are. interacting with external gauge fields is obtained. The central term of Virasoro algebra is also derived by topological method. Possible existence of a gauge potential in the group manifold and its relation to θ-vacuum is indicated.
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  A COMMENT ON THE METHOD FOR SOLVING THE KDV EQURTION

  黄念宁, 颜家壬

  理论物理通讯. 1987, 8(3): 369-372.

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  By using the technique of matrix calculation, a direct verification of the method for solving the KdV equation in the case of arbitrary N is given.
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  SURFACE PLASMONS IN A FINITE LEG SYSTEM

  朱耘, 周世勋

  理论物理通讯. 1987, 8(3): 373-377.

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  A hydrodynamic model is used to study the discrete plasmons in a finite LEG system. An analytical expression of dispersion is obtained. The results show that the energy of a surface plasmon is directly related to the thickness of such a system,but the critical wave-vector is independent of the thickness of the system.
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  NOTE ON A MCMILLAN-LIKE T_c FORMULA

  翁征宇, 吴杭生

  理论物理通讯. 1987, 8(3): 379-384.

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  In this letter, we present an analysis to understand why the McMillan-like T_c fornula: T_c=1.134ωlog(1-1.02μ^*+0.476λ)exp{-1+1.604λ/λ-μ^*(1+0.604μ)}, proposed in a previous paper by the authcrs,applies to crystalline superconductors satisfactorily but Iess satisfactorily to non-crystalline ones.