1991年, 第16卷, 第1期　
刊出日期：1991-07-30

  

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  Shorter Expansions of Molecular Integrals in Hylleraas-CI Calculations

  Yannan LU, Zuqia HUANG

  理论物理通讯. 1991, 16(1): 1-16.

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  Over Cartesian Gaussian orbitals, Clementi and his co-workers have recently derived the formulas of molecular integrals appearing in the Hylleraas-CI method. There are many terms which exactly cancel one another in their formulas. By using the approach of generating functions, these terms are removed, giving rise to shorter expansions and simpler expressions for the molecular integrals.
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  θ Statistics and P, T Violation in Ground State

  Yixin CHEN, Guangjiong NI

  理论物理通讯. 1991, 16(1): 17-28.

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  By means of the concepts in differential geometry and braid group, the general theory of θ statistics is presented. We discuss the relation between the single-valued cross-section and multi-valued wave function, the derivation of statistical potential from Kohno connection, and the violation of reflection symmetry with respect to space (P) or time (T) in the ground state.
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  An Expansion Approach for the Stationary Probability Distribution of Systems Driven by Colored Noise

  HU Gang, LU Zhiheng

  理论物理通讯. 1991, 16(1): 29-38.

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  The stationary probability distributiolr of the two-dimensional Fokker-Planck equation of systems driven by colored noise is obtained in terms of an expansion iteration. The solution is compared with that obtained by the one-dimensional effective Fokker-Planck equation approaches. The behavior of several leading terms in the expansion for both small and large correlation times is analyzed. Numerical results support the analytical approach.
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  Wess-Zumino Effective Action on a Lattice

  MA Zhongshui, GUO Shuohong

  理论物理通讯. 1991, 16(1): 39-50.

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  Taking Wilson fermion formulation for the chiral gauge theory we derive the Wess-Zumino effective action in a lattice version in both two and four dimensions. Also the relationship between the anomalous generation and the chiral symmetry breaking is presented. Our results in continuum limit are coincident with those obtained by other regularizations.
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  On the Mixing of K⁰-K⁰,D⁰-D⁰ and B⁰-B⁰

  Xueqian Li, Zhijian TAO

  理论物理通讯. 1991, 16(1): 51-64.

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  Systematically, we study the long-range contribution to the mixing effects based on the potential model while the QCD correction in Hamiltonian being taken into account. We have found that the long-distance effects are important to K⁰-K⁰ and D⁰-D⁰, but B⁰-B⁰. The QCD correction causes a change to the results, enhances the mixing, for K⁰-K⁰, by a factor of 1.3, whereas for D⁰-D⁰ it is a suppression of about 0.7. The absorptive parts which give rise to ΔΓ have also been discussed and the diquark-intermediate-state contributions to D and B systems are included.
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  Kaluza-Klein Unification of Electro-Weak Interactions in Super-Riemannian Space

  LIU Yufen

  理论物理通讯. 1991, 16(1): 65-72.

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  A(4+4+k)-dimensional self-sourced Kaluza-Klein type theory to unify gravitational and electro-weak interactions is discussed. Fermion and Higgs fields as well as gauge fields, are generated as components of the metric in the higher-dimensional super-Riemannian space. Calculations have been done by means of computer symbolic manipulations.
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  Berry's Phases of the Alkali Atom in a SlowlyChanging Strong Magnetic Field and Non-Adiabatic Transition

  Changpu SUN, Qing XIAO, Linzhi ZHANG

  理论物理通讯. 1991, 16(1): 73-78.

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  In this paper the high-order adiabatic approximation (HOAA) method is formulated in a new form ko that the calculation is greatly simplified. using this improved HOAA method, we study the Berry phase effects of the Alkali atom in a slowly-changing strong magnetic field and also the non-adiabatic transitions between the instantaneous angular momentum states. The possible observability is also pointed out.
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  Symplectic Geometry, Hopf Algebraic Structures of Classical and Quantum q-Deformations of SU(2) Algebra

  Shaoming FEI, Hanying GU0

  理论物理通讯. 1991, 16(1): 79-88.

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  By deforming the symplectic structure on S², we get the q-deformation of SU(2) algebra at classical level, SU_q,h→0(2), in a Hamiltonian approach. Furthermore, we construct a set of operators on the line bundle over the deformed symplectic manifo1d.S_q² such that they form SU_q,h→0(2) in Lie brackets and set up a nontrivial Hopf algebra with a parameter q only in such a classical Hamiltonian system. We also show that the deformations from S_q² to S_q² are a set of quasiconformal transformations. The quantization via geometric approach of the system gives rise to the quantum q-deformed algebra SU_q,h(2), wnich has a Hopf algebraic structure with two independent parameters q and h.
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  Exact Soliton Solution of Nonlinear Evolution in Ice-Like Structures

  Weizhona CHEN, Senyue LOU

  理论物理通讯. 1991, 16(1): 89-92.

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  The exact soliton solution with a good convergency for nonlinear problem which describes proton motion in a system with ice-like structure is obtained by using a renormalized condition of the expansion coefficients in addition to a direct algebraic method.
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  Two-Soliton Bound States in a Heisenherg Spin Chain

  Guoxiang HUANG, Zhupei SHI, Xianxi DAI, Ruibao TAO

  理论物理通讯. 1991, 16(1): 93-96.

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  An inhomogeneous Heisenberg spin Hamiltonian with single ion anisotropy is used to investigate the nonlinear excitations in ferromagnetic chain. By means of the Holstein-Primakoff transformation and Glauber's coherent-state representation, the equation of motion for anni-hilation operator a(j) is reduced to a nonlinear Schrödinger-like equation in the semiclassical approximation and the long wave approximation. For a homogeneous system, the exact and explicitly single soliton (localized magnon state) and two-magnon bound state solutions are Given by the inverse scattering transform.
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  Phase Transition of the Isotropic Kondo Hamiltonian:A "Luttinger-Liquid" Description

  Guangming ZHANG, Hong CHEN, Xiang WU

  理论物理通讯. 1991, 16(1): 97-102.

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  Analysis of the bosonized Kondo Hamiltonian at zero temperature shows that the interaction between the conduction electrons via a magnetic impurity scattering induces nonlinear couplings between its elementary excitations, which may be described by an effective "Luttinger-liquid". With the Bogoliubov transformation, the corresponding ground-state wave function is obtained. In particular, we are able to treat infrared divergencea led by the strong effective interactions between the conduction electrons for the long wavelength part directly and investigate the nontrivial ferromagnetic-antiferromagnetic transition of the impurity spin. Comparison with the previous studies is also given.
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  Exact Solution to the Degenerate Four一Wave Mixing in Transmission Geometry in Photorefractive Media

  Ying WU, Guoqin GE, Zhanping XU

  理论物理通讯. 1991, 16(1): 103-106.

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  The exact solution of the degenerate four-wave mixing in transmission geometry in photore-fractive media for a zero phase shift between the refractive index grating and interference pattern of the optical beams is presented. Our solution gives both the intensities and the phases of various beams.
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  Derivation of Fusion Rules From Truncation in 2D Degenerate Conformal Field Theory

  Bangrong ZHOU

  理论物理通讯. 1991, 16(1): 107-110.

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  Derivation of the fusion rules of 2D degenerate conformal fields is given directly by truncation and associativity of the operator algebra.
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  A Note on Spin of Skyrmions in the (2+1)-DO(3) Non-Linear σ Model

  Jiaru WEN

  理论物理通讯. 1991, 16(1): 111-114.

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  It is shown that, by usual definition about the Hopf term, the Skyrmions in the (2+1)-DO(3) non-linear σ model with this term have only integer spin. A modified definition about the term is suggested to make the Skyrmiona have probability to poaaeas fractional spin.
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  E(6)×SU(5) Preon Model with Complementarity

  XIAO Zhenjun, LU Gongru, XUE Xiaozhou

  理论物理通讯. 1991, 16(1): 115-118.

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  In this paper a chiral composite preon model with aemisimple metacolor gauge group E(6)xSU(5) is constructed based on the extended MTCT composite theory. This model predicts 4 generations of quarks and leptons. At low energy region the mass degeneracy between different generation fermiona can be broken partly.
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  A Note on the Soliton Perturbation Theory

  Zongyun CHEN, Nianning HUANG

  理论物理通讯. 1991, 16(1): 119-122.

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  An improvement of the usual derivation of the soliton perturbation theory is given. Without using any additional assumption beyond the usual conditions for deriving the inverse scatteing transformation for the unperturbed NLS equation, the necessary formulae for calculating the time dependences of the scattering data are derived for the perturbed NLS equation.
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  Application of Weyl-Wigner Method in Calculating Thermal Averages

  FAN Hongyi

  理论物理通讯. 1991, 16(1): 123-128.

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  The Weyl-Wigner correspondence between quantum operators and their classic analogues is employed in calculating thermal averages, which enables one to treat the Wigner function of mixed states on the same footing as that of the thermal vacuum state which plays an. essential role in thermodynamics. Both the bosonic and fermionic cases are considered in this work by virtue of the coherent state representation of the Wigner operators.