掺杂聚乙炔中的孤子振动定域模

在SSH模型基础上,本文研究了掺杂聚乙炔链中杂质势对孤子振动模的束缚影响。不同边界条件下的数值计算发现Goldstone模将受到杂质钉扎并出现两个新的定域模g₁′和g₂′。另外,还得到了其它已知的定域模g₂,g₃和g₅,这些定域模随杂质势的敏感程度各有不同,在所取参数下取得了与实验基本一致的结果。 关键词：     

一维极化子的定域振动模

本文研究了一维电子-晶格耦合系统中极化子的晶格振动,发现了两个新的定域振动模g₆和g′₆,它们分别在一定的耦合参量λ的范围内存在。本文还给出了各个定域振动模的频率和位形随λ的变化情况。 关键词：     

Mo-SiO2-C3H6催化反应体系的ESR动态表征

文章考察了Mo-SiO₂催化剂体系在丙烯歧化反应过程中的动态ESR波谱,发现在催化歧化反应过程中有两种Mo⁵⁺顺磁中心,一种为扰动八面体配位,g_||=1.89,g_⊥=1.94;另一种为扰动四棱锥配位,g_||=1.86,g_⊥=1.95。测得同位素^95,97Mo⁵⁺的各向异性超精细耦合常数A_||=90.3×10^-4cm^-1,A_⊥=44.8×10^-4cm^-1;观测到反应产生的积炭信号,g≈2.0O₂;氧阴离子自由基信号g₁=2.018,g₂=2.011,g₃=2.005。用LCAO-MO理论对上述Mo⁵⁺的ESR波谱进行计算,求得分子轨道系数,发现并总结出△g_||/△g_⊥与△g成直线关系,并建议用△g_||/△g_⊥=4(△E(B₂→E))/(△E(B₂→B₁)(β₁/ε)²之比值作为衡量C_4v扰动程度的尺度。     

孤子振动模的定域性

对于聚乙炔中孤子的五个定域振动模,本文研究了它们的位形随链长的变化而演变的情况,从而可确定其定域性。本文同时考察了开链和闭环两种情况。对于闭链,五个定域模定域于孤子附近,其形状与链长无关。对于开链,定域模g₁,g₂,g₃和g₅的位形不随链长而改变,因而是完全定域的,但是g₄的两翼随链长增加而变宽,定域性不完全。 关键词：     

聚噻吩中双电子极化子附近的二维局域振动模

将聚噻吩的一维SSH孤子模型推广到二维平面,研究了聚噻吩双电子极化子附近的二维局域振动模.计算结果表明双电子极化子附近存在15个局域振动模,其中4个奇宇称模与4条强红外吸收谱线1020,1120,1200,1323cm^-1相对应,4个偶宇称模恰与4条Raman吸收峰700,1047,1175,1220cm^-1一致. 关键词：     

次近邻电子跳跃对孤子的电子束缚态和孤子附近局域模的影响

从SSH模型出发,考虑电子次近邻跳跃的影响,研究了聚乙炔中孤子的电子束缚态和孤子附近的局域振动模。结果发现:1.电子能谱中的电子-空穴对称性消失;2.孤子的电子束缚态的数目和位置发生了变化,且与孤子的类型有关;3.孤子附近出现了一个新的局域振动模G₆;4.次近邻电子跳跃改变了局域模的频率,增强了局域模的局域性。 关键词：     

四角或三角畸变立方晶场中(3d)1过渡金属离子的劈裂因子

对四角或三角畸变立方晶场中的(3d)¹离子,在已有的静电晶场理论的基础上,采用“集团模型”,进一步引入Γ_∥, Γ_⊥及K_∥, K_⊥,R_∥, R_⊥,并考虑E_g混入T_2g,导出适用于四角或三角畸变立方晶场各种可能情况的g_∥, g_⊥公式。讨论了g_∥, g 关键词：     

高维微分-差分模型的Virasoro对称子代数，多线性变量分离解和局域激发模式

寻找高维可积模型是非线性科学中的重要课题.利用无穷维Virasoro对称子代数［σ(f₁),σ(f₂)］=σ(f′₁f₂-f′₂f₁)和向量场的延拓结构理论，能够得到各种高维模型.选取一些特殊的实现，可以给出具有无穷维Virasoro对称子代数意义下的高维微分可积模型.把该方法推广到微分-差分模型上，构造出具有弱多线性变量分离可解性的(3+1)维类Toda晶格.另外，该模型的一个约化方程为具有多线性变量分离可解性的(2+1)维特殊Toda晶格.连续运用对称约化方法可以得到此特殊Toda晶格的一个(1+1)维约化方程具有多线性变量分离可解性.因为得到的精确解里含有低维任意函数，从而可以构造出丰富地局域激发模式，如dromion解，lump解，环孤子解，呼吸子解，瞬子解，混沌斑图和分形斑图等等. 关键词： Virasoro代数 微分-差分模型 变量分离 局域激发模式     

332—362nm范围内CF2Cl自由基的共振增强多光子电离研究

用CF₂Cl₂分子直流脉冲放电的方法产生CF₂Cl自由基，结合共振增强多光子电离(REMPI)技术，测量了332—362nm波长范围内CF₂Cl自由基的(2+1)REMPI光谱，分析并标识了4s Rydberg态带源位于(ν_0—0=55371cm^-1)，两个被激活振动模ω′₃(CF₂剪式振动模)和ω₄′(OPL 关键词：     

人工规范势下三阱玻色-爱因斯坦凝聚系统的动力学研究

研究了人工规范势下三阱中的冷原子系统.首先给出了无相互作用的单粒子系统和多粒子系统的能谱性质:在单粒子系统中,随着等效磁场的变化,不同动量的本征态将轮流成为系统的基态;而对于多粒子系统,能级则由粒子数布居决定.在纯量子框架下讨论了系统的动力学演化,发现在排斥相互作用下隧穿和排斥相互作用比值r′_*的从小到大变化可以导致系统从局域到非局域转变,转变的临界点是r′_*=1,以及等效磁场引起的宏观旋转效应.讨论了无相互作用系统各格点粒子数布居的表述曲线（n₂+n₃）-（n₂-n₃）的边界效应,并讨论了相互作用对这一效应的影响.     

Lattice vibrational analysis of polyacene

Within an extended Su-Schrieffer-Heeger model, we made a lattice vibrational analysis of polyacene. In a singly-charged polyacene, the ground state contains an interchain-coupled polaron of quasi-D2h symmetry, around which we found thirteen localized modes in total. Among these localized modes, five (three B2u and two B3u) are infrared active, six (four Ag and two B1g) modes are Raman active, and the other two localized modes are asymmetric, which are both infrared active and Raman active. For the case a charged polaron is coupled with a neutral soliton in a finite polyacene chain, the vibrational modes are also calculated to display the coupling effect between self-trapping excitations on phonons. It is found that the localized phonons are determined mainly by the charged polaron, but the number and frequencies of the localized modes are influenced by the existence of the neutral soliton.     

TWO-DIMENSIONAL LOCALIZED VIBRATIONAL MODES AROUND A POLARON WITH THE NEXT-NEAREST-NEIGHBOR HOPPING INTERACTIONS

We have calculated the vibrational modes around a polaron to test the effects of the next-nearest-neighbor hopping interactions on the localized medes within a framework of the two-dimensional mode. The results show that: (1) For a negative polaron, eleven localized modes have been found, compared with ten modes obtained on a previous work without non-nearest neighbor hopping. (2) For a positive polaron, two additional localized modes occur. (3) The localization of localized modes are strengthened and their frequencies move after turning on the next-nearest-neighbor hopping interactions.     

1:3 Peierls系统中的极化子

在可约数为3的一维Peierls系统中,我们运用SSH模型的连续极限得到了极化子解。在弱耦合极限下,这一极化子解严格满足离子位移序参量的自洽条件。我们给出了极化子的形成能和特征宽度,并讨论了可约数为M的一般情况下可能的孤子激发。 关键词：     

A new perspective on optoelectric conversion in conjugated polymers

Photoexcitation of a neutral soliton will create a polaron and a charged soliton.According to a tight-binding model and a nonadiabatic method,we investigate the dynamical process of these two photogenerated charge carriers in an external electric field.It is found that the polaron and the soliton can pass through each other,which excludes the possibility of carrier recombination that usually occurs in existing organic solar cells.The results indicate a more efficient way to realize the optoelectric conversion by photoexciting polymer materials with soliton defects.On the other hand,it is found that solitons take on greater stability than polarons during collision.     

磁场中极性晶体板内的强耦合极化子

采用推广的强耦合变分波函数方法，研究了在板面垂直方向施加磁场的极性晶体板内电子与体纵光学声子和表面光学声子强相互作用系统的能量和有效质量，得出了作为厚度和磁场强度函数的极化子的能量和有效质量表达式．对Cu₂O材料作了数值计算，并讨论极化子的基态能、电子与声子相互作用能以及有效质量随板厚及磁场强度变化的规律 关键词：     

A note on fermion and gauge couplings in field theory models for tachyon condensation

We study soliton solutions in supersymmetric scalar field theory with a class of potentials. We study both bosonic and fermionic zero-modes around the soliton solution. We study two possible couplings of gauge fields to these models. While the Born–Infeld like coupling has one normalizable mode (the zero mode), the other kind of coupling has no normalizable modes. We show that quantum mechanical problem which determines the spectrum of fluctuation modes of the scalar, fermion and the gauge field is identical. We also show that only the lowest lying mode, i.e., the zero mode, is normalizable and the rest of the spectrum is continuous.     

Possibility of observation of polaron normal modes at the far-infrared spectrum of acetanilide and related organics

We use a stationary and normal mode analysis of the semiclassical Holstein model in order to connect the low-frequency linear polaron modes to low-lying far-infrared lines of the acetanilide spectrum and through parameter fitting we comment on the validity of the polaron results in this system.     

The gravitational faraday rotation for cylindrical gravitational solitons

By using cylindrical soliton solutions, the nonlinear behavior of gravitational waves in vacuum is studied in terms of a rotation of the polarization vector between two independent modes. This effect was emphasized by Piran, Safier, and Stark as a gravitational analogue of the Faraday rotation. The polarization of the soliton wave is calculated, and it is found that the+mode which was dominant near the axis of symmetry is fully converted to the×mode at some interaction region and then the disturbance propagating along a light cone like a gravitational wave pulse contains both polarizations.     

DOUBLE BOUND POLARON IN QUANTUM WELLS

We have proposed the Hamiltonian of the single or double polaron bound to a helium-type donor impurity in semiconductor quantum wells (QWs) in the case of positively charged donor center and neutral donor center. The couplings of an electron with various phonon modes are considered; in particular, the interaction of the impurity with the various phonon modes is included. We have calculated the binding energy of a bound polaron in Al_(xl)Ga_1-(xl)As/GaAs/Al_(xr)Ga_1-(xr) As symmetric and asymmetric QWs. The results are obtained as a function of barrier height (or equivalently of Al concent ration x), well width, and the position of impurity in the QWs. Our numerical calculations show clearly that for a thin well the cumulative effects of the electron-phonon coupling and the impurity-phonon coupling can contribute appreciably to the donor binding energy. The enhancement of polaronic effect is also found in the case of ionized donor.     

EFFECTS OF THE SOLITON CONFIGURATION ON THE LOCALIZED MODES IN POLYACETYLENE

The exact static configuration of the soliton in polyacetylene is determined through the self-consistent iterations and the localized modes around the soliton are numerically caiculated. They are compared with the results that the static configuration of the soliton is assumed to be the kink u₀tanh(n/L). The comparison shows that the self-consistent configuration improves the Goldstone mode by getting the positive-definite vibrational matrix, whereas the other localized modes change their frequencies only less than 0.03%. It confirms that the five localized modes around the soliton do exist in polyacetylene.