1995年, 第24卷, 第1期　
刊出日期：1995-07-30

  

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  Cyclotron Resonance of Magnetopolaron in Cylindrical Quantum Wires with Arbitrary Magnetic Fields

  Hai-Yang ZHOU, Shi-Wei GU

  理论物理通讯. 1995, 24(1): 1-6.

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  By solving the effective mass equation with the variational method, we studied the cyclotronresonance of magnetopolaron in cylindrical quan t um wires with arbitrary magnetic fields.The interaction of the electron with surface-optical (SO) phonons is used. Having calculatedthe ground state energy and the excited state energy of the magnetopolaron, we obtain thecyclotron resonance frequency of the magnetopolaron. The effect of the electron-SO phononinteraction decreases the cyclotron resonance frequency. Furthermore, with the increasingstrength of magnetic fields, the cyclotron resonance frequency of the magnetopolaron form = 1 (m = -1) increases (decreases) monotonously. When the confinement energy is muchless than the Landau quantization energy, our results tend to the bulk case correctly. Forthe same magnetic field strength, our results show that, the larger the confinement length ofthe quantum wire is, the smaller the absolute value of the electron-SO phonon interactionenergy and the cyclotron resonance frequency are.
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  Polariton Modes in Three-Tile Quasiperiodic Superlattices

  Min CAI, You-Yan LIU

  理论物理通讯. 1995, 24(1): 7-12.

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  The polariton modes in three-tile quasiperiodic superlattices are investigated and evaluatednumerically with a transfer matrix method. The results show that the distribution of the polaritonmodes depends obviously on the structure of the quasiperiodic superlattice. Specially,the number of the bulk modes and the number of the surface modes are related to the numberof layers and the number of interfaces contained within the quasiperiodic superlat tice.
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  Magnetopolaron in a Rectangular Harmonic Quantum Wire

  Zhen-Yan DENG, Jing-Kun GUO, Hong SUN

  理论物理通讯. 1995, 24(1): 13-18.

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  Cyclotron resonance of a magnetopolaron in a rectangular harmonic quantum wire withmagnetic fidd normal to the quanturn wire is investigated theoretically. The results weobtained show that, the Landau levels in the quantum wire are raised relative to those intwo-dimensional quanturn well due to the addition of a parabolic potential. The results alsoshow that, the cyclotron frequency and cyclotron mass of ID polaron are very different fromthose of 2D polaron, especially for weak magnetic field region ω_C << ω_LO
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  Signal-to-Noise Ratio in Bistable System Subject to Signal and Monochromatic Noise

  Rong LI, Guang-Rong QIN, Gang HU, Xiao-Dong WEN, Heng-Jing ZHU

  理论物理通讯. 1995, 24(1): 19-26.

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  Signal- to-noise ratio (SNR) of stochastic resonance under white noise is smaller than thatproduced by linear filter under the same condition. For bistable system acted by signal ofproper strength and equal-frequency (monochromatic) noise in certain range, the outputSNR can be greater than that of the linear system under the same condition. Therefore, itcan provide a method superior to linear filter of acquiring signal from noise.
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  The Time-Dependent Moments and Correlation Functions of the Intensity of a Single-Mode Dye Lase

  Zhong-Long WANG, Li CAO, Da-Jin WU

  理论物理通讯. 1995, 24(1): 27-36.

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  By combining linear approximation with Novikov theorem we derive first the time-dependen tmoments of laser intensity for colored saturation loss-noise, colored gain-noise and coloredloss-noise models of a singlemode dye laser. We analyze and compare the time-evolutioncharacter of timedependent moments of laser intensity for three models. The intensitycorrelation functions and correlation time for the colored saturation loss-noise model arederived and compared to the corresponding quantities for colored gain-noise and coloredloss-noise models. We show that, due to saturation effects in the considered laser model, theeffect of which the correlation time of the noise hides the differences between the in tensitycorrelation functions of the models is weakened. It can be seen from the evolution curves ofthe intensity correlation time versus the pump parameter that the dye laser exists criticalslowing-down.
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  Discussions of Systematic Elimination and Deriving Single-Mode Dye Laser Equations

  Jing-Hui LI

  理论物理通讯. 1995, 24(1): 37-42.

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  The application ranges of the systematic elimination is discussed in the circumstances ofGaussian white noises and O-U noises. From the semiclassical single-mode laser model, thecolored loss-noise model and the colored gain-noise model are derived with the systematicelimination. A new colored noise which provides some dis-neglected effect on the laserquenching of fluctuations is found.
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  Symbolic Dynamics of the Two-Well Duffing Equation

  Fa-Gen XIE, Wei-Mou ZHENG, Bai-Lin HA0

  理论物理通讯. 1995, 24(1): 43-52.

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  At weak force range the two-well Duffing equation has a closed bifurcation region in theparameter plane, inside which there are many different periodic windows. By means ofone-dimensional and two-dimensional symbolic dynamics, these periodic windows and thedynamical behavior of chaotic attractors are analyzed systematically.
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  The Relations Between q-Deformed Oscillator and Fermionic Oscillator

  An-Min WANG, Tu-Nan RUAN, Si-Cong JING, Ning WU

  理论物理通讯. 1995, 24(1): 53-60.

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  We study the relevance between the statistical property of q-deformed oscillator and thevalue of q. It is shown that there is the consistency condition |q| = 1. When q is not a realnumber. The q-Fock space is reconstructed so that it is applicable to the case in which q is extended to the complex number. And the general expression of q-deformed oscillator b_q and b_q⁺ in the new g-Fock space is given. It is found that q = ±i correspond to fermionic oscillator(the mix of the ordinary proper and improper one). This conclusion implies that q-deformedoscillator relates naturally and inherently the fermionic oscillator with the bosonic oscillatorby choosing the value of q. Actually, the bosonization structure of the single mode of fermioncan also be obtained in the way. Of course, the solution of the fermionic oscillator given inthis paper is a representation of quantum algebra SU_q(2).
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  The Basis Functions Spanning an Irrep of OSP(1,2)

  Gao-Jian ZENG

  理论物理通讯. 1995, 24(1): 61-68.

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  In this paper, the basis functions Φ_kjm(X,Y) spanning an irrep of the OSP(1,2) algebraare constructed in the super space (X,Y). Their properties and physical significance arediscussed.
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  Similarity Reductions for the Khokhlov-Zabolotskaya Equation

  Jie-Fang ZHANG, Yan-Juan ZHU, Ji LIN

  理论物理通讯. 1995, 24(1): 69-74.

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  In this paper, we first give the Lie point symmetries of the Khokhlov-Zabolotskaya equationby a simple direct method developed by LOU for some (2+1)-dimensional evolution equations,and then discuss all their similarity reductions from these symmetries, finally obtaintheir similarity analysis by using direct method introduced by Clarkson and Kruskal.
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  On the Integrabilities for Some New Nonlinear Models Related to the Schrödinger Equation

  Wei-Zhong CHEN

  理论物理通讯. 1995, 24(1): 75-78.

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  The integrabilities for some new nonlinear evolution equations, u_t = (Ψⁿ)_x, where Ψ satisfiesthe Schrödinger equation, Ψ_xx + uΨ = λΨ with λ being constant, arestudied by Painleve testin both the cases of positive and negative resonances for some suitable n, say, n = -4, -1,2and 4.
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  On Analytical Treatment of SU(3) Lattice Gauge Theory

  Xi-Te ZHENG, Chun-Hong LEI, Yong XU

  理论物理通讯. 1995, 24(1): 79-84.

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  The order parameters of SU(3) lattice gauge theory Ep at zero temperature and (L) at finitetemperature are calculated by the variational cumulant expansion method. The SU(3) singlelinkgroup integrals are treated as double definite integrals. Two plaquettes with oppositeorientations are combined into a single one to simplify the count of equivalent connectedgraphs. Three different approaches to choose variational parameters are compared. Theagreement with the Monte-Carlo simulations is good in the strong and weak coupling regions.The necessity of higher order expansions in the intermediate coupling region is discussed.
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  Levy Stability Analysis of Random Cascade Model

  Yang ZHANG, Hai LIN, Lian-Shou LIU

  理论物理通讯. 1995, 24(1): 85-90.

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  The Levy stable analysis for random cascade model is performed. The Levy stable index μ ofa-model is obtained by both Monte-Carlo simulation and analytical calculation. It is foundthat μ is increasing when the fluctuation becomes weaker, and vice versa, just as expected.It is shown that the Levy stable index of α-model depends mainly upon the model parameter α. Its weak dependence on the number λ of branches in each elementary splitting is due tothe normalization of probability in each step. The possible reason of the Levy stable indexgreater than 2 found experimentally is briefly discussed.
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  Negative Vertex Contributions to Parameters S and T From Charged Pseudo-Goldstone Boson

  Zhen-Jun XIAO, Ling-De WAN, Gong-Ru LU, Xue-Lei WANG, Zhi-Hua YUAN

  理论物理通讯. 1995, 24(1): 91-98.

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  We describe how to incorporate the one-loop vertex corrections on Zbb coming from the virtual charged pseudo-Goldstone bosons (PGB) P^± and P₈^± in one-generation technicolor model into the estimation for the value of Peskin-Takeuchi parameters S and T. We findthat the vertex contributions S_V and T_V are all negative and can cancel out the positiveoblique contributions Shad and Thad. NOW the value of S can be negative and T is also muchsmaller than the traditional estimation.
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  The Electroweak Transition at Hot and Density Condition

  De-Fu HOU, Jia-Rong LI

  理论物理通讯. 1995, 24(1): 99-104.

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  The effective potential of the Weinbefg-Salam (WS) model is calculated at finite temperatureand in the chemical potential of top quarks according to the grand canonical ensembletemperature field theory. The electroweak transition is studied at hot and density conditions.It is indicated that the symmetry restoring transition can take place either by increasing thetemperature or chemical potential of top quarks, but at high temperature and in the lowchemical potential the transition is of the first order, and it becomes the second order at acold density condition. The phase diagrams are showed.
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  Exclusive Processes of Hard Diffractive J/φ + γ Production in P+P(P) Collisions and the Pomeron Model of Donnachie-Landshoff

  Zhen-Min HE, Zuo-Ming LUO, Hong-An PENG, Ke-Cheng QIN

  理论物理通讯. 1995, 24(1): 105-112.

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  By using. double porneron exchange mechanism, we have studied the exclusive processes P+P(P)→ P+P(P)+J/φ + γ at high-energy and have shown that these processes can be effectively used to test the porneron structure model proposed by Donnachie and Landshoff.
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  Similarity Reductions of Nonlinear Schrodinger Equation with Pseudopotentials

  Hang-Yu RUAN

  理论物理通讯. 1995, 24(1): 113-116.

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  With the help of the nonlocal symmetry of the nonlinear Schrodinger equation, we get twotypes of nontrivial new similarity reductions. A type of new exact solutions including theso-called interacting soliton solution is also given.
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  On the Cotangent Space Analog of the Korteweg-de Vries Equation

  Q.P. LIU

  理论物理通讯. 1995, 24(1): 117-120.

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  We construct a new integrable equation which is Miura-related to the cotangent space analog of the Korteweg-de Vries equation. A spectral problem is also given for it.
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  Canonical Transformations of q-Bosonic Oscillators

  Li LIAO

  理论物理通讯. 1995, 24(1): 121-124.

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  Within the framework of R matrix of quantum group, canonical q-transformations for bosonic q-oscillators are presented. The commutation relations are covariant under quantum group Sp_q(2n).
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  Even and Odd Binomial States

  Hong-Yi FAN, Si-Cong JING

  理论物理通讯. 1995, 24(1): 125-128.

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  We introduce the normalized even and odd binomial states which interpolate between the even and odd number states and even and odd coherent states, respectively. The squeezing and antibunching properties for these new states are examined.