1991年, 第15卷, 第1期　
刊出日期：1991-01-30

  

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  Symbolic Dynamics and Topological Entropy of Henon Map

  LIU Wu-ming, YING Yang-jun, CHEN Shi-gang, HE Xian-tu

  理论物理通讯. 1991, 15(1): 1-8.

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  By using the method with which the trajectories of dissipative maps can be derived from the Hamiltonian, we study the symbolic dynamics of Henon map and its relation with the symbolic dynamics of unimodal map, and compute the topological entropy as a function of the parameter a and b. Finally, the boundary of the region where the topological entropy exists on the parameter plane is given.
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  High-Frequency Hoping Conductivity in a Two-Dimensional Antiferromagnetic Lattice

  J. CAI, X. L. LEI, S. Q. SHEN

  理论物理通讯. 1991, 15(1): 9-18.

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  The optical properties of two-dimensional antiferromagnetic lattice were etudied through the theoretical calculation of the high-frequency hoping conductivity in a spin-deneity-wave background. The effect of the strong spin correlation in the bag excitation region on the conductivity is diecueeed. Calculations have been made under the mean-field approximation including self-energy and vertex contributions.
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  Dynamical Properties of Systems Driven by Colored Poisson Noise

  ZHU You-xin, CHEN Li-hua

  理论物理通讯. 1991, 15(1): 19-26.

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  We derive equations for the single and joint probability distribution of systems driven by colored Poisson noise using the ordered cumulant technique. We also derive the equation for the correlation function. We discuss an example for which the correlation function and the associated relaxation time are calculated.
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  A Study of Giant Monopole an. d. Quadrupole States in the Relativistic Thomas-Fermi Approximation

  Chao-yuan ZHU, Xi-jun QIU

  理论物理通讯. 1991, 15(1): 27-36.

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  The isoscalar giant monopole and quadrupole states in finite nuclei are studied in a relativistic δ-ω model by making use of a local Lorentz boost and scaling method, and the nuclear surface and the density distribution are treated in the relativistic Thomas-Fekmi approximation.The excitation energies of the giant resonances are self-consistently calculated. It is found that the excitation energies of giant monopole arehbasically in agreement with experimental data for all nuclei and those of giant quadrupole for light nuclei. Coupling constants and δ-meson mass in the theory are chosen to fit static properties of nuclear matter.
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  A Systematic Method' for Constructing Solutions to the Yang-Baxter Equation

  Zhong-qi MA

  理论物理通讯. 1991, 15(1): 37-52.

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  In this paper a systematic method, based on Jimbo's theorem, for constructing the spectrumdependent trigonometric solutions, as well aa the rational ones, to the Yang-Baxter equation is presented. Some solutions obtained by this method are discussed. The link polynomials constructed from the trigonometric solutions are obtained.
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  K-M Matrix and Fermion Masses

  Fang-xiao Dong

  理论物理通讯. 1991, 15(1): 53-64.

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  We discuss the relations between the K-M matrix and the masses of the quarks and leptons in the case of four generations, and give the exact expression of the K-M matrix in terms of the masses of quarks and leptons. The requirement that the theoretical and experimental values of the K-M ,matrix are consistent leads to an allowed range of quark masses of the fourth generation m_t'～400-1000 GeV, m_b'～50-130 GeV. In the leptonic sector.in comparison I with the neutrino oscillation experiments and supernova it seems that neutrino masses must have hierarchy as charged leptons.
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  On Behavior of Weyl's Gauge Field

  Yuan Zhong ZHANG

  理论物理通讯. 1991, 15(1): 65-72.

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  We consider a system, consisting of a metric tensor g_μv, a scalar field Φ, a Weyl's gauge field A_μ and a scalar matter field Φ, which is invariant under general coordinate transformation and Weyl's gauge transformation. Two kinds of identities and field equations are given and discussed. A special space-time with g_μv = Φ_-2η_μv is considered in a gauge-independent manner. We point out that in a correct treatment where g_μv is not regarded as an independent variable, an auxiliary condition for Weyl's gauge field cannot be obtained. Therefore Weyl's gauge field can be treated as a usual field.
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  The Contribution of the Vacuum Fluctuation to Casimir Effect

  CHU Zi-li, LI Zi-ping

  理论物理通讯. 1991, 15(1): 73-80.

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  The path integral method is a useful tool which can be used to calculate contribution of ghost field to Casimir effect^[6]. But only free field was considered rather than interaction field. In this paper, we consider contribution of the vacuum fluctuation of QED to Casimir effect with the aid of source-field separation and Wick's expansion, and a little additional attractive force can be obtained from this method.
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  Momentum of Φ Field and Inflation

  FAN Zu-hui, ZHOU Guo-rong, YU Yun-qiang

  理论物理通讯. 1991, 15(1): 81-86.

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  With quantum mechanical method, we discuss the metastable states of the quantum universe, and give two eigenstates corresponding to nonzero and zero conjugate momenta P_Φ under the assumption of p=-5, where p is the ordering factor. Analyaea for their classical evolution are made, and there comes a conclusion: The mom-entum of the scalar field of quantum state has very little effect on its later classical evolution. This gives a favourable support to the classical theory of inflation.
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  Phase Transitions in a Highly Anisotropic Antiferromagnetic Heisenberg Toda Chain

  Zhu-pei SHI, Rui-bao TA0

  理论物理通讯. 1991, 15(1): 87-92.

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  The behavior of the antiferromagnetic spin 112 Heisenberg Toda chain is investigated in a space of interactions which include exchange anisotropy, bond alternation and Toda-like spinlattice coupling by means of coherent-state for spin. We analyse magnetically driven lattice instabilities and find that multiphase structure only occurs under the condition, of bond alternation. Three phase diagrams and tricritical points are obtained and some relevant physical properties are discussed.
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  Shallow States of Donor Impurities at Defective Semiconductor Surfaces

  Hong SUN, Shi-wei GU

  理论物理通讯. 1991, 15(1): 93-98.

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  Ground state energies for shallow states of donor impurities at certain idealized defective isotropic semiconductor surfaces are calculated variationally for GaAa surfaces with electrons confined within the semiconductor. Calculations show that impurity states with donor ions located at parts projecting out of surfaces have lower ground state energiea than those with ions located at parts sunk into surfaces.
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  Extended and Periodic States in One-Dimensional Aperiodic Lattices

  Zhi-fang LIN, Yao-ming MU, Rui-bao TAO

  理论物理通讯. 1991, 15(1): 99-102.

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  The eigenstates of an electron in two cases of one-dimensional (ID) aperiodic lattices are investigated analytically in the tight-binding approximation. The two cases of aperiodic lattices investigated are 1D Thue-Morse (TM) lattice and ID hierarchical system, both of which are non-quasiperiodic. It is shown that both the aperiodic models possess extended states. In particular, in 1D hierarchical system, there exists a finite fraction of periodic states independent of the hierarchical parameter R.
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  On the Laser Induced Synthesis of Dense Hydrogen

  Yan-nan LU, Zu-qia HUANG, Huan-wu PENG

  理论物理通讯. 1991, 15(1): 103-106.

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  The proposal, synthesis of dense hydrogen using Hp molecules in different electronic states, is partly supported by the potential energy calculations and the rate equation analy&. Using a simple model of the screened hydrogen molecules,. the reduction of metallization pressure arising from the electron-hole pair is estimated for solid hydrogen. The result is more reasonable and in agreement with Rose comments.
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  (N, 2N) Correlation Theory

  Rank Di Marzio

  理论物理通讯. 1991, 15(1): 107-112.

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  A semi-analytic theory of (N, 2N) reactions incorporating central, tensor, spin-orbit and quadratic spin-orbit components of the two-nucleon t-matrix is developed. Simplifications arise pom a suitable choice of scattering geometry and an asymmetric mode of energy sharing. Using modified plane waves for the continuum wave functions results in analytic expreasions for the volume integrals.
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  The Quantum Cosmologyo f 4-Form Fields in d=11 Spacetime

  Yu ZHONG, Xi-zhou LI

  理论物理通讯. 1991, 15(1): 113-118.

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  We have calculated a minisupempace wave function for d=11 supergravity .where the 4-index anti-symmetric tensor field supplies the energy-momentum tensor. The Hartle-Hawking prdposal for the boundary conditions of the universe is also extended to the eleven-dimensional spacetime.
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  Strong CP in Heavy Quark Physics

  Zheng HUANG, Dan-di WU

  理论物理通讯. 1991, 15(1): 119-122.

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  We argue that strong CP phase should be shifted to b and t quark masses due to the requirement of vacuum stability. The strong CP problem in low energy sector thus disappears. We predict large CP violation in electric dipole moment of W and heavy quarks.
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  Indecomposable Representations of the Quantum Group SU(2)_q¹

  Chang-pu SUN, Jing-fa LU, Mo-lin GE

  理论物理通讯. 1991, 15(1): 123-128.

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  The infinite-dimensional indecomposable representations are constructed by using the purely algebraic method and the matrix elements for these representations are obtained in an explicit form. Each familiar finite-dimensional irreducible representation ia induced on a quotient space.