1995年, 第23卷, 第4期　
刊出日期：1995-06-15

  

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  Branching Rules and Gap-Labeling Properties for a Class of One-Dimensional Quasilattices

  Xiu-Qing HUANG, You-Yan LIU, Dang MO

  理论物理通讯. 1995, 23(4): 385-394.

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  The gap-labeling properties of the energy spectrum for a dam of one-dimensional quasilatticeihave been investigated. We have studied the branching rules on subbands of the hierarchical energy sp&trum and obtained the integrated density of states (ZDOS). It is analytically
  proved .that ZDOS has the form n + mα, where n and m are integers, α = √2 - 1. The daracteristic number m can be used to label the corresponding energy gap. This conclusion is similar to that of one-dimensional Fibonacci quasicrystals.
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  Effect of Strong Electron-Phonon Interactions on an Interface Polaron

  Zu-You LAI, Shi-Wei GU, T. C. AU-YEUNG, W. S. LI, Y. Y. YEUNG

  理论物理通讯. 1995, 23(4): 395-404.

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  The present work deals with an electron interacting strongly with both bulk longitudinal optical (LO) phonons and interface (IF) optical phonons in which we adopt and generalize the Tokuda's variational method for studying the interface polaron properties in polar crystals at zero temperature, In our approach, we can reduce the Hamiltollian equation of the system to a pair of integro-differential equations in two variational parameters of the electron wavefunction from which we can calculate various physical properties of an interface polaron including the ground state energy, average numbers of interacting phonons, the average distance from the interface and the anisotropic effective masses of the interface polaron. Numerical results are obtained explicitly for LiF crystal interfaced with NaF crystal as well as other similar systems with varying physical constants, which show the typical trends of variations for the effects of strong electron-phonon interactions on different physical properties of an interface polaron.
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  The Electronic Properties of a Finite sp-Hybrid chain

  Z. X. YANG, S. Y. WEI, X. Q. DAI, M. WANG, T. ZHANG

  理论物理通讯. 1995, 23(4): 405-410.

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  The Green function method and the tight-binding approximation are used to study the electronic properties of a finite sphybrid chain. The surface density of states (SDOS) and the localized surface states (SS), as well as their intensities, are calculated for different values of n (the number oflayers of the chain). The results are compared with those of semi-infinite sp-hybrid chain.
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  Pseudofermion Method Applied to High Local Spin and Superroom-Temperature Superconductivity

  Fu-Sui LIU, Ming SHAW, Wan-Fang CHEN

  理论物理通讯. 1995, 23(4): 411-416.

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  Using the Abrikosov's pseudofermion representation of local spin, and Larsen's technique, we establish a procedure allowing to deal with high local spin in the standard methods induding the linked cluster theorem of diagrammatic perturbation theory, thus give the multipleexchangemediated interaction of high local spin, and a way to obtain superroomtemperature superconductivity.
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  Two Discussions About the Method for the Calculation of Mean First-Passage Time Developed by Masoliver

  Ming YANG, Da-Jin WU, Li CAO

  理论物理通讯. 1995, 23(4): 417-422.

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  A version for the calculation of mean first-passage time (MFPT) for non-Markovian processes driven by continuous noises has been proposed by Masoliver recently. In this article, we devglop some methods for the calculation of MFPT based on the Masoliver's version. At last, we approve that the tail of switching time distribution has nothing to do with MFPT. This shows that the non-Markovian property of the tail of the switching time distribution does not influence MFPT.
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  Properties of Deuteron Bound State from Meson and Quark Theories for the Nucleon-Nucleon Interaction

  Ahmed Osman

  理论物理通讯. 1995, 23(4): 423-428.

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  The properties of the nucleon-nucleon bound state in the deuteron are considered. Nucleonnucleon interactions of the Yukawa, Reid and Paris potential forms are used to describe the deuteron bound state. Also, the nudeon-nudeon interaction with different meson exchanges derived fiom the meson theory as well as the nudeon-nudeon interaction with quark exchange derived from the quark theory by introducing the quark-quark potential with one gluon exchange are used to investigate the deuteron properties. The deuteron binding energy, quadrupole moment, effective range, root-mean-square radius and the D/S ratio are calculated by using different nucleon-nucleon interactions. The obtained results of the present calculations are in good agreement with the experimental values.
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  Decisive.,RoIe of Symmetry in the Structures of Three-Fermion System with the Spin Aligned

  Wen-Fang XIE, C. G. BAO

  理论物理通讯. 1995, 23(4): 429-434.

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  A three-fernion system with their spin aligned is examined to reveal that the quantum mechanical symmetry plays a decisive role in determining microscopic structures.
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  Calculations of Stationary Fission Rate by the Partition Function Method

  Jing-Dong BAO, Yi-Zhong ZHU0, Xi-Zhen WU

  理论物理通讯. 1995, 23(4): 435-440.

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  The stationary nuclear fission rate including both thermodynamic and quantal fluctuations are studied by using the partition function method, which is related to the imaginary part of the free energy by R_f = (2/h)k_BT_cIm In Z (Z is the partition function). We calculate the classical fission rate with a coordinatedependent mass within a onedimensional model. The contributions of'additional degrees of fieedom, angular momentum and viscosity to the quantal fission rate at finite temperature are also discussed. Differences between the two- or three-dimensional and the onedimensional cases are analyzed by using the {c, h, a} parametrization.
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  The Excited Nucleon Model for High Energy N-N Collisions

  Shi-An ZHENG, Xue-Qian LI

  理论物理通讯. 1995, 23(4): 441-450.

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  Based on the quark model, we propose a new version for a detailed analysis of the energy exchange relation in multiparticle production of high energy hadron-hadron collisions. The multiplicities of various final state hadrons are calculated in the N-N collisions for a wide energy range (s=12 ～ 485 GeV²). The result predicts an energy dependence of various multiplicities and agrees with the experimental data quite well. It can be taken as a more reliable foundation to study the increase of the K/π ratio in pA and A-A collisions.
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  The Instantaneous Approximation to the Transitions Between Two Double Heavy. Mesons and Bearing a sizable Recoil

  Chao-Hsi CHANG, Yu-Qi CHEN

  理论物理通讯. 1995, 23(4): 451-464.

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  In order to have a reliable calculation on a transition between two double heavy mesons and bearing a sizable recoil, a generalized "instantaneous approximation" is emphasized and the way how to make the approximation is described in this paper. The reliability and limitation of the approach are discussed. Prospect on its potential applications is outlined also.
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  The Singlet Axial Vector Coupling in the Effective Meson Baryon Lagrangian

  Han-Qing ZHENG

  理论物理通讯. 1995, 23(4): 465-472.

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  The Goldberger-Treiman (GT) relation in the singlet channel, being consistent with the EMC experimental results, can be manifested in an extended a model in which the chiral symmetry in the singlet channel is realized in the parity doublet model by assuming that the excited nucleon state S₁₁ N(1535) is the parity partner of the nucleon state. The model gives a natural explanation of the smallness of the singlet axial vector coupling g_A⁰ without the necessity to assume a large strange sea contribution, and is unique in explaining the decay rate of N(1535) → N_η as well.
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  Intrinsic Loop Regularization and Renormalization in QED

  Zhong-Hua WANG, Han-Ying GUO

  理论物理通讯. 1995, 23(4): 473-480.

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  We show how to regularize and renormalize the QED at the one-loop order by means of the intrinsic loop regularization method proposed by the authors. All the results are the same as those derived by means of other regularization methods.
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  Phase Structures of U(l) and SU(2) Lattice Gauge Models at Finite Temperature

  Liang-Xin HUANG, Tian-Lun CHEN

  理论物理通讯. 1995, 23(4): 481-486.

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  With the variational-cumulant expansion (VCE) method, the phase structures of the U(1) and SU(2) lattice gauge models at finite temperature are studied. The order parameter Polyakov line with N_T = 2 is calculated to the fourth order. For the U(1) and SU(2) lattice gauge models in D = 3 + 1 and D = 2 + 1 at finite temperature, the results show the existence of the second order phase transition.
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  Collisionless Trapped Ion Temperature Gradient Instabilities

  Ji-Quan LI, Hou-Chang DING

  理论物理通讯. 1995, 23(4): 487-494.

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  Under the fluid limit, the collisionless electrostatic trapped ion temperature gradient instabilities are investigated by retaining the trapped ion parallel compressibility in the long wavelength limit. The two-scale analysis should be employed in view of the fact that the eigenfunctions vary over the connection width scale with an envelope varying over a secular scale. The results show that the slab branch of trapped ion modes, corresponding to the aperiodic trapped ion instability discovered by Kadomtzev, propagates along ion diamagnetic direction. The toroidd branch is also obtained in low-frequency and long wavelength limit. In this case, besides the unstable one propagating in ion diamagnetic direction, there exists a marginally stable toroidal odd mode propagating in electron diamagnetic direction. The eigenfrequencies and perturbative structures of these unstable modes are given analytically and numerically. The numerical results are in good agreement with the analytical ones.
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  Storage and Retrieval of General Pattern sequences

  D. Y. JI, B. L. H, T. L. CHEN

  理论物理通讯. 1995, 23(4): 495-500.

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  The combination of the classical Hopfield feedback network and the multilayered feedforward network is supposed in order to store and recall general pattern sequences including fixed points and period cycles with arbitrary complexity. The evolution equation ,of overlap in some simple cases are analyzed. The results are supported by computer simulation.
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  Two-Point Conductivity Tensor in Magnetic Multilayers

  L. SHENG, D. Y. XING, M. LIU

  理论物理通讯. 1995, 23(4): 501-504.

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  We use an extended quasidassical approach to calculate the two-point conductivity: tensor in magnetic multilayers. The obtained result is shown to be identical to that derived from the Ku bo formula, indicating a close connection between the Boltzmann and Ku bo approaches.
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  Two-Parameter Deformed Spin Coherent State

  Zhao-Xian YU, De-Xing ZHANG, Ge YU

  理论物理通讯. 1995, 23(4): 505-508.

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  A two-parameter deformed spin coherent state is construched, its completeness and normalized properties are studies. It is pointed out that the coherent property of he spin coherent states is affected by parameters q and s.
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  New Applications of q-Deformed Inverse Field operators

  Hong-Yi FAN

  理论物理通讯. 1995, 23(4): 509-512.

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  We construct q-deformed displaced number state, q-deformed twc-mode squeezed state and q-deformed two-mode single-complex-variable state by making use of the q-deformed inverse field operators. Their completeness relitions are investigated by virtue of the technique of integration within an ordered product of operators. Some new operator identities in q-deformed Fock space are also derived.