第二类奇偶q相干态及其性质

本文以新的参数化方式引入第二类奇偶 q 相干态,并定义了 q 压缩概念。第二类奇偶 q 相干态的压缩效应和反聚束效应类似于奇偶相干态,但存在q压缩效应。     

D维各向异性q变形振子及其波函数

把一维q变形振子的结论推广到D维q变形振子体系,得到了D维q变形振子体系的哈密顿算符形式,并求出了其本征值和在坐标象中的本征函数.结果显示,这是一个非线性振子.     

单模单参数q光场叠加态的压缩及高阶压缩特性

本文构造了一种单模单参数q光场叠加态|Ψ>_q=c(|α>_q+β|0>_q),利用Zhang等人提出的单模辐射场的振幅M次方压缩的定义对态|Ψ>_q的压缩及高阶压缩特性进行了详细的研究.结果发现,在一定的条件下,态|Ψ>_q可存在任意的M次方压缩效应. 最后,通过数值计算还详细研究了态|Ψ>_q的压缩和平方压缩性质.     

叠加q相干态的高阶反聚束效应

本文研究了文献11构造的一般叠加q相干态的高阶反聚束性质,并用数值计算的方法研究了叠加系数、变形参量对反聚束性质的影响.     

偶奇q相干态的振幅立方压缩性质

研究结果表明,偶q相干态呈现振幅立方压缩性质;奇q相干态不呈现振幅立方压缩性质。     

偶奇q相干态的振幅k次方(k>3)压缩性质

研究结果表明,只有当以k>3)为奇数时,偶q相干态呈现振幅k次方压缩性质;无论k为偶数还是奇数,奇q相干态均不呈现压缩性质。     

奇偶q相干态的高阶反聚束效应

本文研究了奇偶q相干态的高阶反聚束效应,结果表明,当参数q和r²在一定范围内取值时,奇偶q相干态都能呈现出高阶反聚束效应(N≥2),而且2n+1阶的反聚束效应和2n阶的反聚束效应相同。     

态|Ψ(3)〉q中广义磁场的不等幂次高次振幅压缩

利用多模压缩态理论,研究了一种新型的三态叠加多模叠加态光场|Ψ⁽³⁾〉_q中广义磁场分量(即第一正交相位分量)的不等幂次高次振幅压缩特性.结果表明:态|Ψ⁽³⁾〉_q是一种典型的三态叠加多模非经典光场,其广义磁场分量在一定条件下可呈现出周期性变化的、偶数次的不等幂次高次振幅压缩效应.     

一种强度不等的新型两态叠加多模叠加态光场的等阶N次方Y压缩效应

本文构造了由多模虚共轭相干态{iZ_j^(a)*}>_q与多模虚共轭相干态的相反态|{-iZ_j^(b)*}>_q这两者的线性叠加所组成的一种强度不等的新型两态叠加多模叠加态光场 |Ψ^(ab)>_q.利用多模压缩态理论,对态|Ψ^(ab)>_q的等阶N次方Y压缩特性进行了详细研究.结果发现:该态在一定条件下可呈现出周期性变化的任意奇数阶和任意偶数阶的等阶N次方Y压缩效应,而在特殊条件下,则呈现出等阶N次方Y压缩简并现象.     

增加光子奇偶q相干态的高阶压缩效应

通过数值计算研究了增加光子奇q相干态a_q^+m|α>_q^o和增加光子偶q相干态a_q^+m|α>_q^e的高阶压缩效应.结果表明:当q较小时,态a_q^+m|α>_q^o和a_q^+m|α>_q^e都能呈现出强烈的奇次方阶压缩效应,但无偶次方阶压缩效应,而且奇次方阶压缩随m的增大而增强.当m=0时a_q^+m|α>_q^o和a_q^+m|α>_q^e为光场振幅偶次幂的最小测不准态,但当m≠0时它们不是光场振幅偶次幂的最小测不准态.     

一类q-变形叠加态光场的振幅k次方压缩及高阶反聚束特性

构造了一种由q变形相干态与q变形真空态叠加而成的态,研究了它的振幅k次方压缩性质和高阶反束特性,借助数值计算方法讨论了叠加系数、变形参数对这些特性的影响。     

Singly excited states of neutral potassium

Energy levels, oscillator strengths and photoionization cross-sections are calculated. Superposition of configuration method is applied to study ground-state resonant singly excited electron transitions of neutral potassium including the near continuum ionization threshold. Orbitals are generated using scaled angular momentum-dependent Thomas-Fermi-Dirac-Amaldi potentials.     

The pure state space of quantum mechanics as Hermitian symmetric space

The pure state space of Quantum Mechanics is investigated as Hermitian Symmetric Kähler manifold. The classical principles of quantum mechanics (Quantum Superposition Principle, Heisenberg Uncertainty Principle, Quantum Probability Principle) and Spectral Theory of observables are discussed in this non-linear geometrical context.     

Superposition-model analysis of rare-earth doped BaY 2 F 8

The energy level schemes of four rare-earth dopants (Ce 3+ , Nd 3+ , Dy 3+ , and Er 3+ ) in BaY 2 F 8 , as determined by optical absorption spectra, were fitted with a single-ion Hamiltonian and analysed within Newman's Superposition Model for the crystal field. A unified picture for the four dopants was obtained, by assuming a distortion of the F m ligand cage around the RE site; within the framework of the Superposition Model, this distortion is found to have a marked anisotropic behaviour for heavy rare earths, while it turns into an isotropic expansion of the nearest-neighbours polyhedron for light rare earths. It is also inferred that the substituting ion may occupy an off-center position with respect to the original Y 3+ site in the crystal.     

A Multidimensional Superposition Principle: Classical Solitons IV

This article continues the series of the works of 1998–2007 years devoted to the Multidimensional Superposition Principle, the concept easily explaining both classical soliton and more complex wave interactions in nonlinear PDEs and allowing one, in particular, to construct the general Superposition Formulae for nonlinear wave interactions. In the present research the technique of multiexpansions with constraints is considered for finding the above SFs and investigation of the related solitons. (The simplest case of such expansions technically is analogous to the so-called invariant truncated singular expansions.) As the applications, the soliton SFs of the MKdV_±, Kaup-Kupershmidt and new A_± equation are obtained for the bell-shape exponential solitons of the various families, algebraic solitons, and the configuration of the two noninteracting kinks. The linearized, parameterized versions of these SFs are investigated then, and the related analysis of the interactions is presented. The obtained results allow one to consider the one soliton solutions mentioned as the strong bound states of the simpler solitons. Concerning the results for the above concrete nonlinear PDEs, the approach being developed made it possible both to obtain the new results and to reveal new moments for the already known ones.     

内部激励源二自由度结构扬声器振动特性分析

有别于多数基于简单振子结构的扬声器,针对一类内部激励源二自由度(IE2DOF)结构的扬声器,用类比线路图法建立集总参数模型,计算分析了这种结构的频率响应,同时计算了其固有共振频率和固有反共振频率。使用叠加法分析内部激励源对频响的影响。最后实际测量和理论计算吻合,进一步支持了理论模型,揭示了IE2DOF结构扬声器的振动特性。     

圆形孔洞下应力集中的实验研究

本文运用材料力学、弹性力学的基本原理和电测法，通过测量有圆形孔洞板圆孔周围的应力，分析圆孔周围应力集中规律：通过单纯受拉或纯弯时的情况分析、讨论叠加原理在处理应力集中问题时的具体应用方法。     

Low temperature space charge polarization in alkali halide crystals

Evidence is presented to indicate the presence of linear space charge polarization in single crystals of KCl and NaCl in the temperature range between liquid nitrogen temperature and 350 K. Polarization phenomena, both dipolar and space charge, were studied by means of TSPC, ITC and by the testing of Ohm's law and the Superposition principle. The results are interpreted in terms of the formation of a linear space charge, possibly caused by the trapping of ionic charge carriers within the bulk of the material.     

Elastic scattering amplitude of a polarized electron in an arbitrary plane wave field

The elastic scattering amplitude of a polarized electron in an arbitrary plane wave electromagnetic field is obtained by using the method of dispersion relations. Superposition of a constant crossed field and a plane monochromatic wave of elliptic polarization is considered a particular case of giving the field. An anomalous magnetic moment is obtained for the electron in the mentioned field as are also relative contributions to the anomalous magnetic moment due to the transition into the intermediate state with and without spin turnover.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 69–75, October, 1990.     

Dislocation Creep of Single-Crystalline <Emphasis Type="Italic">L</Emphasis>1<Subscript>2</Subscript>-Superlattice Intermetallic Compounds

The creep phenomenon observed in ordered alloys and intermetallics with the L1₂-superlattice structure are considered. A mathematical model that accounts for the superlattice dislocation locking mechanisms at work during creep of the single crystals is constructed. Superposition of the thermal activation mechanisms of the superlattice dislocation motion and locking is shown to give rise to an anomalous temperature dependence of the creep rate. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 28–35, September, 2005.