理论物理通讯

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Guo-zhong LI

理论物理通讯. 1989, 12(4): 355-366.

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The regions of stability for simultaneous storage of positive and negative ions in the Combined trap are studied. It is shown that the regions of stability for the Combined trap are significantly larger than that for the Paul trap. The possibilities of making antihydrogen by simultaneous storage of antiprotons and positron clouds in this trap are also discussed.

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The Mean First-Passage Time of the System Driven by Internal and External Noise Simultaneously

DIAO Cao-zheng, CAO Li, WU Da-jin

理论物理通讯. 1989, 12(4): 367-374.

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We derive an equation of motion of mean firat-passage time (MFPT) for the nonlinear system driven by the external and internal noise simultaneously. An approximate formula of MFPT is obtained by the perturbation technique. We find the coupling effect of the internal and the external noise for the MFPT. Using the steepest descending method we obtain the MFPT for a specific model.

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Qualitative Aspects of Melting Transition on Fractals

Z.D. WANG, C.D. GONG, A. Holz, C.S. TING

理论物理通讯. 1989, 12(4): 375-386.

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The melting instability on fractals is discussed qualitatively under the Lindemann's hypothesis. The density of elastic vibrational states originating from phonon and elastic fraction modes is used to calculate the mean square displacement of lattice constitutents, and the transition temperature is estimated for fractal aggregates with different dimensionalities of elastic fractons.

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Evolution of Lattice Soliton in the Toda System with Slightly Damping

XU Yang-guang, WEI Rong-jue

理论物理通讯. 1989, 12(4): 387-394.

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Evolutional behaviour of one lattice soliton in the Toda system with slightly damping is investigated.

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Critical Behavior of the Generalized Srnoluchovski's Coagulation Equation

YU Jiang, HU Gang, MA Ben-kun

理论物理通讯. 1989, 12(4): 395-402.

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The critical behavior of the gelation of polymers is studied by means of the generalized Srnoluchovski's coagulation equation. The exact solution of the kinetic equation with a factorial coagulation rate R(i₁, i₂, . . . i_n) = s_i₁ × s_i₂ × . . . × s_{i_n} and s_k = A × k + B is derived for the monodisperse initial condition c_m(O) = δ_{m, 1}. It is shown that a gelation transition takes place within a finite time t_c and the gelation time t_c ii characterized by the parameters A and B.

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A General Approach to Deriving the Statistical Distribution Function

SU Gang, LIU Hong

理论物理通讯. 1989, 12(4): 403-407.

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In thia paper a general approach to obtaining the statistical distribution function is given. In the specific case of free field, the statistical distribution functionsare derived under a basis set of general commutation relations by using the double-time Green's functions in the first, second and third order decoupling approximations respectively.

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The Pressure-Induced Spectral Shift Calculations for Seven Crystals with MgO, CaO, or α-A1₂O₃ as the Hosts

MA Dong-ping, ZHENG Xi-te, CHEN Ju-rong, ZHANG Zheng-gang

理论物理通讯. 1989, 12(4): 409-416.

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The conception of expansion function ф(κ) at the exponential of d electron radial wavefunction of transition-metal cations developed in Refs. [1-5] was used to interpret pressure-induced spectral shifts of series of crystals. The red or blue shifts of the spectra of 4 crystals with MgO or CaO as hosts and 3 crystals with α-A1₂O₃ as hosts were calculated by making use of the parameters obtained from fitting the experimental spectral shifts of Mg0:Cr³⁺ and α-A1₂O₃:Cr³⁺ crystals respectively. The results are satisfactory, and it has been found that ф(κ) and η(κ) are mainly effected by the host while the difference of the impurity transition-metal ions causes ф(κ) and η(κ) varied only slightly.

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Self-Dual Yang-Mills Theory as a Two-Dimensional Chiral Model and Its Conservation Laws

J.F. LU, Y.Q. LEE

理论物理通讯. 1989, 12(4): 417-424.

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The self-dual Yang-Mills field theories in two-dimensional representations are formulated. The Biicklund transformation and the conservation law are given in the framework of the prolongation theory. Furthermore, we derive the conserved current algebras which are in essence the Yang-Baxter relations.

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One Fermion-Loop Correction and Supersymmetry in the Heterotic String Theory

ZHANG Lin

理论物理通讯. 1989, 12(4): 425-432.

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(2, 0) world-sheet supersymmetry is shown to be one of the necessary conditions for space-time supersymmetry in most cases. Special care is taken to study the cancellation of local Lorentz and gauge anomalies caused by one fermion-loop..My computation shows that local counterterms which simultaneously restore local Lorentz and gauge invariance of the sigma model do not satisfy the criteria of (2, 0) supersymmetry. But local counterterms and the non-local part of one loop effective action are together invariant under the (2, 0) supersymmetry transformation.

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Renormalization Group Evolution of CP Nonconsewation Measures

Chang-hao JIN, Dan-di WU,

理论物理通讯. 1989, 12(4): 433-444.

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We emphasize to use the squared quark mass matrices instead of the quark mass matrices to eliminate the γ5 noninvariant ambiguity. A new measure of CP nonconsewation α is proposed in this framework. It is more underlying than the well-known CP nonconsewation measure J. The renormalisation group analysis for both of them is fulfilled. For this aim, we employ a careful calculation scheme, which avoids obtaining tiny quantity J² from the difference of two large numbers. We find that the CP nonconsewation measure J, contrary to the previous statement, decreases with energy, while another CP nonconsewation measure α increases with energy primarily. The change near the infrared fixed points is substantial.

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Finite Temperature Phase Structure for SU(2) with a Mixed Action

XU Zai-xin, ZHU Ben-yuan

理论物理通讯. 1989, 12(4): 445-452.

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The modified Migdal-Kadanoff (MK) renormalization transformation is applied to SU(2) lattice gauge theory (LGT) with a mixed action at finite temperature. The renormalization trajectory distributions and the phase structures in the whole coupling parameter space are obtained. Using the dependence of transition temperature on the coupling, the scaling behavior is found in the weak coupling region of β≥1.20. Numerical calculation gives the value of critical temperature T_c = 0.682A_mom. It is close to the data from the Monte Carlo simulation.

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Analytical Calculations of Large Wilson Loop Averages and String Tension in SU(2) Lattice Gauge Theory

She-Sheng XUE,

理论物理通讯. 1989, 12(4): 453-472.

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Based on. the Schwinger-Dyson equation for a Wilson loop in the SU(2) lattice gauge theory, we evaluate approximately the averages of Wilson loop of size I × J, from which string tension of the theory has been extracted.

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Discussion of Hubbard Strongly Correlated System

Huai-yu WANG, Fu-sui LIU

理论物理通讯. 1989, 12(4): 473-475.

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Hubbard strongly correlated system is carefully discussed physically. Hubbard's and Anderson's solutions for strongly correlated systems are commented on. For such a system, taking off or putting into one particle will severely affect remaining particles, SQ that Koopmans' theorem, aa well as the conception of single particle state and one-particle Green function, can not be applied in this system.

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Renormalization of the Weinberg-Salam Model with Local Scale Invariance

ZHAO Shu-cheng

理论物理通讯. 1989, 12(4): 477-478.

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In article [1] a quantum field theory for electroweak interaction and gravitational interaction has been proposed. By introducing the conformal (Weyl) symmetry, this theory has local scale invariance and SU(2)⊗U(l) gauge invariance and leads to the existence of Weyl's vector meson, which absorbs the Higgs particle remaining in the W-S model, and other interesting results. However, it is remarked in the above paper that the theory, even if it ignores the gravitational interaction, is not renormalisable. So its application is limited.

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Berry's Phase Effects in Spin Precession of Relativistic Neutral Particle in Slowly Changing Magnetic Field

Chang-pu SUN, Lin-zhi ZHANG

理论物理通讯. 1989, 12(4): 479-482.

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By making use of the adiabatic approximate method, we derive the spin rotation formula of a relativistic neutral particle propagating in a slowly changing magnetic field, which involves the effects of the Berry's phases. In the non-relativistic limit, the Berry's phases result in an additional rotation in OVV spin rotation.

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Errata

SU Gang

理论物理通讯. 1989, 12(4): 483-484.

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1989年, 第12卷, 第4期　
刊出日期：1989-12-15

模态框（Modal）标题

选择文件类型/文献管理软件名称

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1989年, 第12卷, 第4期 刊出日期：1989-12-15

1989年, 第12卷, 第4期　
刊出日期：1989-12-15