共查询到20条相似文献,搜索用时 125 毫秒
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通过研究光的波粒二象性,对光子结构进行了研究并提出了自建光子模型.自建光子模型具有以下特性:①光子与原子核存在引力作用;②光子的电场与磁场交替变换使其具备了相位效应,且光强由光子数与光子相位和两个因素决定.在此基础上,通过借鉴天体物理中关于二体运动的三种轨迹,利用其中结论对大量原子核的引力作用进行概率分析,使用中心极限定理提出出射角度基本符合高斯分布的假设.接着对光子的相位叠加效应进行了分析.最后,对大量光子进行模拟仿真,并将仿真结果与单缝衍射、双缝干涉、多缝干涉现象等实验现象进行了对比. 相似文献
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利用飞秒脉冲啁啾放大系统所产生的TW级飞秒强光脉冲,以液体介质为研究对象,研究了不同介质长度(作用长度)、不同泵浦强度、介质的基频和倍频飞秒光脉冲的超连续光谱特性,在液体中实现了具有光谱“平台”效应的高转换率宽光谱,边缘光谱强度仅低于中心1个数量级,同时还研究了超连续谱形成过程中自相位调制(SPM)效应与四光子参量效应的作用。 相似文献
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综合龚祖同院士的光子类氢原子结构论和北大俎栋林教授的光子电磁场结构论,提出了两种结构相统一的理论猜想.基于猜想对单缝衍射、双缝干涉以及多缝干涉中光强与光子尺度、细缝宽度等参数的关系进行建模,并以双缝干涉为例进行了仿真实验.通过实验结果与经典波动光学中光强分布的对比,验证了模型的合理性. 相似文献
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马芙玲 《数学的实践与认识》2017,(3):241-250
动量和反转效应普遍存在于证券市场,且会相互转换,但两者间相互转换的特征却鲜有人知.在多数派和少数派博弈的基础上,首次引入分形市场理论对投资者决策特征进行描述,据此建立了分形博弈过程,以分析动量和反转效应转换的统计特征.研究结果表明:在三种博弈机制下,分形博弈机制下的仿真收益率序列的统计分形特征更为接近实际序列的对数收益率序列,且动量和反转效应的相互转换与真实情况也异常相似,这体现了采用分形博弈分析动量和反转效应转换的有效性,为投资者构建有效的动量或反转投资策略提供了决策参考. 相似文献
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动量效应和反转效应是两种重要的金融异象,质疑了有效市场假说。本文以2000~2009年的A股上市公司为研究样本,采用不同的形成期搭配不同的持有期下的投资策略考察了中国股市跨行业动量效应和反转效应。研究结论表明:在沪深A股市场,按下游行业收益率排序的零投资策略主要表现为动量效应,按上游行业收益率排序的零投资策略主要表现为反转效应。从短期来看,跨行业动量或反转效应普遍不显著。持有期中长时,结果的显著性明显提高。跨行业动量或反转效应通过CAPM、Fama-French、Carhart模型调整后仍然显著。 相似文献
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饱和粘弹性土层中端承桩纵向振动的轴对称解析解 总被引:5,自引:0,他引:5
基于弹性和饱和多孔介质理论,将桩和饱和土层分别视为单相弹性介质和饱和粘弹性介质,利用Helmholtz分解和变量分离法,在频率域研究了饱和粘弹性土层中端承桩纵向振动的动力特性,给出了饱和粘弹性土层中桩纵向振动时动力响应的轴对称解析解及桩头复刚度的解析表达式.通过数值计算,给出了桩头动刚度因子和等效阻尼随激励频率的响应,考察了饱和土物性参数、桩土模量比、桩长径比、桩Poisson比等参数对桩头刚度因子和阻尼的影响.研究表明:由于考虑了桩的径向变形效应以及饱和粘弹性土层对桩的径向力作用,轴对称精确解的桩头动刚度因子和阻尼分别与经典Euler-Bernoulli杆模型桩的桩头动刚度因子和阻尼有较大的区别,特别是在若干激励频率处.因此,经典Euler-Bernoulli杆模型桩的适用性具有一定的局限,更加精确的分析应采用三维精确模型. 相似文献
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从现有的经典物理光学理论和专业实验结果出发,运用数学思维,综合光子理论,建立了基于光的波粒二象性猜想的四种数学模型.针对光微子碰撞猜想,建立了基于光子碰撞后概率分布的模型.针对光子作为电磁场自我旋转的猜想,分别从专业证明和数学模型分析方面建立了电磁场偏转模型和光子旋转模型.最后建立了我们自己的猜想模型——光子蜂窝网络模型.该模型引入了"光子域"、"光子电力"、"光子磁力"、"光子键"等概念,从五个子模型出发,定性解释了四个光学现象,合理回答了题目提出的三大问题,并定量证明了衍射光强分布. 相似文献
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Yu. I. Ozhigov N. A. Skovoroda N. B. Victorova 《Theoretical and Mathematical Physics》2016,189(2):1673-1679
We study full revivals (e.g., the reappearance in the unitary evolution) of quantum states in the Jaynes–Cummings model with the rotating wave approximation. We prove that in the case of a zero detuning in subspaces generated by two adjacent pairs of energy levels, full revival does not exist for any values of the parameters. In contrast, the set of parameters that allows full revival is everywhere dense in the set of all parameters in the case of a nonzero detuning. The nature of these revivals differs from Rabi oscillations for a single pair of energy levels. In more complex subspaces, the presence of full revival reduces to particular cases of the tenth Hilbert problem for rational solutions of systems of nonlinear algebraic equations, which has no algorithmic solution in the general case. Non-Rabi revivals become partial revivals in the case where the rotating wave approximation is rejected. 相似文献
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A numerical model is constructed for modelling macroscale damping effects induced by the first-order martensite phase transformations in a shape memory alloy rod. The model is constructed on the basis of the modified Landau–Ginzburg theory that couples nonlinear mechanical and thermal fields. The free energy function for the model is constructed as a double well function at low temperature, such that the external energy can be absorbed during the phase transformation and converted into thermal form. The Chebyshev spectral methods are employed together with backward differentiation for the numerical analysis of the problem. Computational experiments performed for different vibration energies demonstrate the importance of taking into account damping effects induced by phase transformations. 相似文献
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E. A. Karatsuba 《Computational Mathematics and Mathematical Physics》2017,57(11):1822-1842
A new method is devised to study the atomic inversion in the model of a two-level atom interacting with a single quantized mode of the (initially coherent) electromagnetic field in an ideal resonant cavity. The method is based on number-theoretic results applied to the approximation of special series, specifically, on the functional equation for Jacobi theta functions and the ATS theorem. New asymptotic formulas are derived, with the help of which the behavior of the atomic inversion function on various time intervals can be determined in detail depending on the parameters of the system. 相似文献
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Hosny A. Hessian 《Journal of the Egyptian Mathematical Society》2012,20(2):152-156
The atomic decay for a two level atom interacting with a single mode of electromagnetic field is considered. In particular for a coherent state or statistical mixture (SM) of two opposite coherent states as initial field states, the exact solution of the master equation is found. Effect of the atomic damping on the partial entropies of the atom or the field and the total entropy as a measures of the purity loss is investigated. The degree of entanglement by the negativity and the mutual information and the atomic coherence through the master equation is studied. 相似文献
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Internal gravity waves can propagate indefinitely upwards when a fluid is continuously stratified and unbounded vertically. This causes radiative damping of waves which are resonantly generated by the interaction between a mean flow and a topographic feature at the lower boundary. An evolution equation of Benjamin-Davis-Acrivos type, including temporal evolution, detuning, nonlinearity, dispersion, radiative damping, and forcing, is derived to describe the wave behavior. Using a pseudospectral method, we obtain and discuss various numerical results, especially for the resonant cases, covering forcing whose polarity is the same as, or opposite to, that of a free solitary wave, and for weak or strong radiative damping. In practice, weak-radiative cases are likely to be realized when an inversion layer exists at a certain low level over a mountain range. 相似文献
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In this paper we consider some statistical properties of the entropy due to the time development of a two-level system. Analytic expression for the density matrix is obtained to investigate the influence of the mean photon number on the atomic inversion, field and atomic Wehrl entropies. The results show that the general features of both entropies are similar. 相似文献
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这篇文章研究一类带非线性源项和非线性边界阻尼项的强阻尼波 方程强解和弱解的整体存在性和唯一性,进而也讨论解的一致衰减. 相似文献
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《Applied Mathematical Modelling》2014,38(11-12):2716-2733
In the design of high-Q micro/nano-resonators, dissipation mechanisms may have damaging effects on the quality factor (Q). One of the major dissipation mechanisms is thermoelastic damping (TED) that needs an accurate consideration for prediction. Aim of this paper is to evaluate the effect of TED on the vibrations of thin beam resonators. In particular, we will focus on cantilever beam resonator used in atomic force microscopy (AFM). AFM resonator is actually a cantilever with a spring attached to its free end. The end spring is considered to capture the effect of surface stiffness between tip and sample surface. The coupled governing equations of motion of thin beam with consideration of TED effects are derived. In general, there are four elastic equations that are coupled with thermal conduction equation. Based on accurate assumptions, these equations are simplified and the various boundary conditions have been used in order to validate the computational procedure. In order to accurately determine TED effects, the coupled thermal conduction equation is solved for the temperature field by considering three-dimensional (3-D) heat conduction along the length, width and thickness of the beam. Weighted residual Galerkin technique is used to obtain frequency shift and the quality factor of the thin beam resonator. The obtained results for quality factor, frequency shift and sensitivity change due to thermo-elastic coupling are presented graphically. Furthermore, the effects of beam aspect ratio, stress-free temperature on the quality factor and the influence of the surface stiffness on the frequencies and modal sensitivity of the AFM cantilever with and without considering thermo-elastic damping effects are discussed. 相似文献