双光子激光器的量子理论

从双光子激光器三能级模型的微观哈密顿量出发,应用慢变幅度近似和双光子旋波近似,在双光子过程压倒其它辐射过程的情形下,导出二能级双光子模型的等效哈密顿量,从而建立三能级模型与二能级双光子模型的正确关系。得到的等效哈密顿量包含通常讨论中所忽略的光学斯塔克效应项,其系数在一般情形下可与等效互作用常数具有相间的数量级。根据这等效哈密顿量,应用Haken激光理论的标准方法研究定态的阈值,平均光子数,自生频移,光子统计和涨落,并与以前未计及光学斯塔克效应的结果作比较。 关键词：     

非相干光时延四波混频的多能级理论——非均匀加宽情形

本文将我们建立的非相干光时延四波混频(TDFWM-IL)的多能级理论由均匀加宽情形发展到非均匀加宽情形,得到吸收带同时存在均匀和非均匀加宽时,TDFWM-IL多能级理论给出的信号强度随两束泵光相对延时的一般关系式,讨论非均匀加宽占绝对优势时,非相干光光子回波的多能级理论结果,及其与二能级理论结果的差异,论证等效二能级模型同样适用于近似分析存在非均匀加宽影响时,吸收带TDFWM-IL的实验结果,报道在红宝石零声子线和甲酚紫固体膜吸收边上的实验结果,并与上述理论做了比较。     

体心立方晶二元合金超点阵理论

本文把王氏理论应用到体心立方晶AB型二元合金超点阵问题;讨论它的平衡态性质,如秩序度与温度的关系,比热的性质,临界温度等;采取近邻作用假设及二级近似。计算结果较布拉格-威廉近似为佳,而与倍脱一级近似结果则相差不多。至于与有关β-黄铜实验结果的比较,定量的符合还较差;特别是在临界温度附近(T相似文献   

非均匀等离子体湍流的重正化准线性理论(Ⅰ)——Misguich-Balescu理论的推广

本文将Misguich和Balescu的理论推广到非均匀等离子体的情形,导出了包括非均匀性效应的扩散方程与扩散张量的表式以及色散关系。指出Pelletier等人对等离子体湍流可作马尔科夫近似处理的论证完全不适用于非均匀等离子体湍流的问题。 关键词：     

势阱中粒子能级与波函数微扰计算的代数递推公式

利用超位力定理（HVT）和Hellmann-Feynman定理（HFT）,导出了由有精确解的势阱的能级值用微扰法直接计算一维势阱的各级近似能级的普遍代数公式,并导出由能级近似值计算定态波函数近似表达式的代数公式,给出了代数公式具体应用的几个典型一维势阱实例,此法可推广到二维势阱与三维势阱的情形。     

染料激光色立方模型的第一通过时间分布

本文首先把Ｊｕｎｇ和Ｈａｎｇｇｉ提出的统一色噪声近似推广到多维情形，从而导出了这一近似下单模染料激光色立方模型的朗之万方程和福克－普朗克方程；得到了该模型第一通过时间分布的平均值，协方差和偏斜率的近似解析式并将其和数值模拟进行比较。     

A型超导体的近似临界温度公式(Ⅱ)μ~*≠0情形

本文把作者在前一篇文章中对Eliashberg方程数值解进行的分析以及所得到的A型超导体的近似临界温度公式推广到μ~*≠0情形。     

手征模型中奇异强子物质的性质

把FST模型推广到包含奇异娄的情形,并在平均场近似下用来研究含有核子、Λ和Ξ超子的奇异强子物质的饱和性和稳定性.     

铍原子基态交换-相关能的多体理论计算

到目前为止,几乎所有的关于原子基态的多体计算都是以Hartree-Fock(HF)模型为零级近似。本文将零级哈密顿量取为Hartree-Fock-Slater(HFS)型的,在双激发(两体)近似下,对Be原子基态交换-相关能进行了多体理论计算,得到了与实验及别的作者以HF模型为零级近似所作多体计算相符合的结果。计算表明,以HFS模型为零级近似,对闭合壳层原子基态亦可成功地进行多体计算。 关键词：     

半导体中激子的叠加态及其复合辐射

本文在玻色近似和“ 非玻色近似” 两种情形下, 讨论单激子和双激子Dicke和Fock 叠加态及处在这些态的激子的压缩特性、反聚束特性和亚泊松统计特性.文中指出了处在这些态的激子的复合辐射光也可具有这些非经典特性, 并对各种情形s所得结果作了比较和解释. 关键词：     

Sine-Gordon Theory for the Equation of State of Classical Hard-Core Coulomb Systems. III. Loopwise Expansion

We present an exact field theoretical representation of an ionic solution made of charged hard spheres. The action of the field theory is obtained by performing a Hubbard–Stratonovich transform of the configurational Boltzmann factor. It is shown that the Stillinger–Lovett sum rules are satisfied if and only if all the field correlation functions are short range functions. The mean field, Gaussian and two-loops approximations of the theory are derived and discussed. The mean field approximation for the free energy constitutes an exact lower bound for the exact free energy, while the mean field pressure is an exact upper bound. The one-loop order approximation is shown to be identical with the random phase approximation of the theory of liquids. Finally, at the two-loop order and in the pecular case of the restricted primitive model, one recovers results obtained in the framework of the mode expansion theory.     

三体关联与次近邻两体关联下的渗流

本文用实空间重正群(RSRG)方法对二维三角格子的淬火体系,处理其在三体关联及最近邻与次近邻关联下的渗流问题。对于格点多体关联函数采用叠加近似,对于格点-空位多体关联是由几率守恒求出的。结果表明,引入三体关联或次近邻关联后,都并不改变临界现象的普适律。 关键词：     

ANALYTIC EQUATION OF STATE FOR GENERALIZED LENNARD-JONES SOLID INCLUDING LOWEST-ORDER ANHARMONIC AND CORRELATION CORRECTIONS

Based on the cell model, the general formula for the free energy of solids is derived analytically with the lowest order anharmonic modification and correlation effect taken into account. Combining a method of summing over lattice sites, the analytic equation of state for generalized Lennard-Jones solid is derived. The calculations show that the agreement between theory and computer simulation is quite good and is significantly improved as compared with the numerical results in literature. The comparison of different effects shows the theory including all neighbors but only considering the lowest anharmonic and correlation effects may be a good and convenient approximation for practical solids. The approximation can be easily extended to the quantum case and other generalized potentials.     

ANALYTIC EQUATION OF STATE FOR GENERALIZED LENNARD-JONES SOLID INCLUDING LOWEST-ORDER ANHARMONIC AND CORRELATION CORRECTIONS*

Based on the cell model, the general formula for the free energy of solids is derived analytically with the lowest order anharmonic modification and correlation effect taken into account. Combining a method of summing over lattice sites, the analytic equation of state for generalized Lennard-Jones solid is derived. The calculations show that the agreement between theory and computer simulation is quite good and is significantly improved as compared with the numerical results in literature. The comparison of different effects shows the theory including all neighbors but only considering the lowest anharmonic and correlation effects may be a good and convenient approximation for practical solids. The approximation can be easily extended to the quantum case and other generalized potentials.     

Adsorption isotherm of a Lennard-Jones nitrogen in a carbon slitlike pore

A density functional perturbation approximation based both on second-order perturbation theory and on the pore average density has been proposed to study the adsorption hysteresis of nitrogen in a carbon slit pore. The main advantage of the present approximation is that it is computationally much simpler than the original density functional approximation based on the second-order perturbation theory of liquids, and can be applied to several model fluids confined in a strong external field in order to study their structural and thermodynamic properties. The calculated adsorption hysteresis for the confined Lennard-Jones nitrogen is in very good agreement with computer simulation, even if its accuracy slightly deteriorates for the desorption branch. The calculated equilibrium particle density distributions also compare well with computer simulations, and are better than those of a density functional theory based on the so-called mean-field approximation.     

ON THE APPROXIMATE PARTITION FUNCTION IN THE STATISTICAL THEORY OF ADSORPTION

Wang's theory for determining the approximate configurational partition function of the adsorbed layer is modified in two different ways. One is to assume that the configurational energy should be corrected: the other to advocate that the deficiency due to a wrong expression for the a priori probability of the. central site is more significant.The configurational partition function is evaluated is both methods and the adsorptipn isotherin and the beat of adsorption computed for the case of quadratic lattice With dipole interaction. values for the last two quantities when a uniform continuous distribution of the distant adsorbed particles is assumed are further given for comparison. The second method, which surpasses the first, is compared with Kirkwood's method. in the case of hexagonal lattice with neighbour interaction. Numerical work is also carried out in this case.     

Molecular QED of coherent and incoherent sum-frequency and second-harmonic generation in chiral liquids in the presence of a static electric field

Coherent second-order nonlinear optical processes are symmetry forbidden in centrosymmetric environments in the electric-dipole approximation. In liquids that contain chiral molecules, however, and which therefore lack mirror image symmetry, coherent sum-frequency generation is possible, whereas second-harmonic generation remains forbidden. Here we apply the theory of molecular quantum electrodynamics to the calculation of the matrix element, transition rate, and integrated signal intensity for sum-frequency and second-harmonic generation taking place in a chiral liquid in the presence and absence of a static electric field, to examine which coherent and incoherent processes exist in the electric-dipole approximation in liquids. Third- and fourth-order time-dependent perturbation theory is employed in combination with single-sided Feynman diagrams to evaluate two contributions arising from static field-free and field-induced processes. It is found that, in addition to the coherent term, an incoherent process exists for sum-frequency generation in liquids. Surprisingly, in the case of dc-field-induced second-harmonic generation, the incoherent contribution is found to always vanish for isotropic chiral liquids even though hyper-Rayleigh second-harmonic generation and electric-field-induced second-harmonic generation are both independently symmetry allowed in any liquid.     

Thermodynamic properties of the one-dimensional Hubbard model

We discuss the thermodynamic behaviour of the one-dimensional Hubbard model in the narrow-band regime, where the intra-atomic Coulomb-repulsion is large compared to the bandwidth. An approximation scheme on a perturbative basis is developed which applies for all temperatures. First order perturbation theory is performed for arbitrary electron densities; second order perturbation theory is discussed in the case of the half-filled band. Also the one-particle Green's function is calculated. Our approximation agrees excellently with numerical calculations. By comparison with exact results, which are available for some special limits, the range of validity of our approximation is estimated.     

A time dependent density functional method for the interaction site model

A new method is developed to study nonlinear dynamics of molecular liquids. It is a time dependent density functional method for the interaction site model. The nonlinear Langevin theory provides the formulation of the method. An approximation is introduced to calculate the reversible term.