1983年, 第2卷, 第4期　
刊出日期：1983-07-30

  

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  QUANTUM DEFECT THEORY: RYDBERG STATES OF THE NO MOLECULES

  李家明, Vo Ky Lan

  理论物理通讯. 1983, 2(4): 1175-1179.

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  The NO molecule.in Rydberg states consists of a closed shell molecular ion and an excited electron in a Rydberg molecular bital. It is a comparatively simple but non-trivial excited molecule. Here, we present our theoretical calculation of the quantum defects of these Rydberg states. The theoretical results are in good agreement with the experimental data.
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  ON A DYNAMIC THEORY OF QUENCHED RANDOM SYSTEM

  苏肇冰, 于渌, 周光召

  理论物理通讯. 1983, 2(4): 1181-1189.

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  A dynamical theory for quenched random system is developed in the framework of CTPGf. Tn steady states the results ob- tained coincide with Chose following from the quenched average of the free energy. The order parameter q, a matrix in general, becomes an integral part of the second order connected CTPGF.An equation to determine q is derived from the Dyson-Schwinger equation in this formalism. Some general properties of the CTPGF in a quenched random system are discussed.
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  A DYNAMICAL THEORY OF THE INFINITE RANGE RANDOM ISING MODEL

  苏肇冰, 于渌, 周光召

  理论物理通讯. 1983, 2(4): 1191-1201.

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  The dynamics of spin glass is studied in the framework of CTPGF. A marginal stability line is found on the q-x plane. Belowm T_C with hC, the time evolution of the order parameter follows Fischer's line exponentially to the stability boundary and then decreases in power law along the boundary to its fixed point. The Langevin equation for the spin σ(t) is no longer valid along the stability boundary. The susceptibility is calculated in perturbation theory and found to be in good agree- ment with those predicted by the projection hgpothesis. The general validity of the projection hypothesis is justified in the present formalism.
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  THEORY OF SOLITON GENERATION AND LATTICE RELAXATION IN POLYACETYLENE (Ⅰ) GENERAL FORMALISM

  苏肇冰, 于渌

  理论物理通讯. 1983, 2(4): 1203-1218.

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  This series of papers is devoted to the theory of soliton and polaron generation in polyacetylene by both radiative and non-radiative processes. In the first paper of this series a general formalism is presented which combines the Lattice relaxation approach for the multiphonon process developed by Huang and many others with the consistency condition in terms of the Bogoliubov-de Gennes equation and the gap equation. The exact adiabatic electron wave functions consistent with the different lattice syimnetry breaking in the initial and final states are used to calculate the transition probability between these multi-electron states. The formalism presented is illustrated by deriving a general expression for the non-radiative decay rate using the steepest descent method in the case of stronc coupling. The theory developed here canbe applied to treating the quantum. transitions between states of differnet symmetry breaking when the multi-electron background effect and the consistency condition are essential.The applications of the general formalism to polyacettyene and the comparison with numerical results and the recent experiments tvi11 be given in the succeeding papers.
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  EFFECTS OF PLASMA TEMPERATURE AND DEWSITY DISTRIBUTION IN TOKAMAK ON RELATIVISTIC ELECTROMAGNETIC INSTABILITIES

  郭书印

  理论物理通讯. 1983, 2(4): 1219-1226.

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  In this paper, we study the effects of the distribution of the temperature and the density on the felativistic electromagne- tic instabilities in tre magnetized plasma. The results show that unlike the case with uniform temperature and density, in addition to the electrostatic-longitudinal wave and the circu-1ar1y polarized wave, there occur two new coupling relations. Otherwise, the growth rate and the criterion of the electromagne-tic instability are obtained.
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  THE FORM FACTOR OF ²⁸Si AND ITS ENERGY VARIATION

  赵恩广, 陈生忠, 李清润, 王肖明

  理论物理通讯. 1983, 2(4): 1227-1232.

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  The charge fcrr factor of ²⁸Si and its energy variation are calculatedby using the statistical spectroscopic theory. A qualitative agreemznt between the theoretical results and the experimental data is obtained.
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  A METHOD FOR THE CALCULATIONS OF THE NUCLEON-NUCLEUS MICROSCOPIC OPTICAL POTENTIAL

  申庆彪, 田野, 张竟上, 卓益忠

  理论物理通讯. 1983, 2(4): 1233-1254.

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  A method for the calculations of the nucleon-nucleus microscopic optical potential based on. various kindsof Skyrme force has been introduced. The first- and secondrordermass operators,in asymmetric nuclear matter have been derived and the real and imaginary parts of the optical potentialEfor finite nuclei have been obtained by applying a local density approximation. The. spin-crbit potential has also been obtained approximately. In most cases the expressions are analytical. The calculation results for some sets.of Skyrme forces.are in good agreement with the-empirical values and experiments.
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  RIEMANNIAN STRUCTURE ON GAUGE GROUP AND METRIC COMPATIBLE YANG-MILLS THEORY

  刘煜奋

  理论物理通讯. 1983, 2(4): 1255-1263.

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  A gauge theory with gauge potentials that are compatible with right invariant metric of the gauge group is presented. It is shown that in the metric compatible torsion free gauge theory, gauge potentials can acquire the mass, without introducing the tliggs field. A plane-wave exact solution in vacuum is obtained.
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  DIAGONALIZATION OF ANOMALOUS DIMENSION MATRICES OF HIGHER TWIST OPERATORS AND CONFORPIAL COVARIANCE

  黄朝商

  理论物理通讯. 1983, 2(4): 1265-1273.

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  Anomalous dimension matrices of operators based on the twist-3 operator ψγ₅ψ (or ψψ)are calculated and diagonalized. We find that for these operators the diagonal operators are not conformal operators. The higher twist effects of the pionic asymptotic B-S wave function and form factor are also investi- gated.
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  A POSSIBLE WAY TO DETECT THE INTERFERENCE BETWEEN THE NEUTRON SPINOR COMPONENTS

  闫沐霖

  理论物理通讯. 1983, 2(4): 1275-1279.

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  The interference effect between the neutron spinor components i s investigated. It is shown that the diffusion of the neutron wave-packet under an unhomogeneous magnetic field is related to the phase shift angle between the two spinor components. We propose that this effect could be used to detect the phase -shifk of a coherent neutron beam having passed through some medium. In the interference experiment based upon this.principle one will not need to use Bragg reflection from crystal planes for splitting and recombining the beam, and the dimension of the phase shift region will be much longer than that of the usual BonsAe-Hart type neutron interferometer.
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  THE RENORMALIZABILTY OF THE GENERAL GRAVITY THEORY WITH TORSION AND THE SPONTANEOUS BREAKING OF LORENTZ GROUP

  闫沐霖

  理论物理通讯. 1983, 2(4): 1281-1288.

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  The renoimalizability of a general-gravity-theory with tor- sion, which contains all possible dimensionless couplin互cons- tants, is investigated. It is shown that the Lorentz symmetry group SO(3,1) can be broken spontaneously,with the contorsion fields playing the role of the Goldstone-Higgs fields.
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  SOME NEW QUANTUM OPERATOR FORMULAS --NEW APPLICATIONS OF THE COHERENT STATE

  范洪义, 阮图南

  理论物理通讯. 1983, 2(4): 1289-1305.

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  We present a novel method for deriving some new quantum operator formulas by carrying out,the integrations within a normal product symbol. The idea underlying this method is com- bining the properties of normal product and of coherent state together. For example, we can deduce operator ordering theorems, the Fujiwara formula, and some disentangling theorems simply and directly. Bymeans of this method we also get the explicit operator form and coherent state form for the Wigner function with these new forms, the wigner function's eigen-state is found and its zero point value property is discussed. Furthermore some famous quantum unitary transformations and the transformed matrix element for functional obtained conveniently. integral may be also
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  NOTE ON EXISTENCE OF SOLITARY WEVE IN NEWTIC LIQUID CRYSTALS

  王心宜

  理论物理通讯. 1983, 2(4): 1307-1311.

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  Starting from the famous nonlinear diffusion equation, we obtain the iimportant results on solitary wave in nematic liquid crystals. We point out that there exists the critical velocity of propagation of solitary wave for sheared nematic liquid crys-tats, if the director wave is excited by 1ocal disturbance. Our discussion, which is different from that in Ref.[10], is based on some recent mathematical papers.
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  ∧-P ELASTIC SCATTERING CROSS SECTION DUE TO THE MESON EXCHANGE POTEHTIAL

  沈建平, 吴慧芳, 余友文, 张崇烨

  理论物理通讯. 1983, 2(4): 1313-1316.

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  we have calculated the cross section and the S wave phase shift of the ∧-P clastic scattering by using the meson exchange potential which is obtained in Ref.[1]. The results are in good agrement with agreement with the expetimential data.
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  GROUP PROPERTY AND ALGEBRA STRUCTURE FOR A KIND OF BÄCKLUND TRANSFORMATIONS

  吴可, 郭汉英, 王世坤

  理论物理通讯. 1983, 2(4): 1317-1321.

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  We explain further the group property and algebra struc-tore for a kind of Bäcklund transformations. If the Lax repre- sentation of a given nonlinear (evolution) system is dependent on a complex spectral parameter fractional Zinearly, the Back-land transformations with respect to the principal pseudopoten- tials (fundamental solutions) of the Lax representation can be identified with solutions of the regular matrix Riemann-Hilbert problem. It is shown that this kind of Riemann-HIbert probl em constructs an infinite dimensional Lie group and its infinitesi- mal form presents itself the infinite dimensional algebra of Kac-Moody type.