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finite deep potential trough
相关语句
  有限深势阱
     CA's Finite Deep Potential Trough Model of the Elastic Wave Propagational Mechanism in Solid Medium
     固体介质中弹性波传播机制的细胞自动机有限深势阱模型
短句来源
     The quantum mechanics analysis on the cellular automata finite deep potential trough model in the solid medium
     固体介质中细胞自动机有限深势阱的量子力学分析
短句来源
     Based on the cellular automata finite deep potential trough model and the Lennard-Jones(12-6) potential,the paper analyses the form and distribution of the potential energy and energy of the molecule group in the model in terms of the deduce of the quantum mechanics.
     在细胞自动机有限深势阱模型的基础上,利用Lennard-Jones(12-6)势能,通过量子力学推导和分析,对模型中的势能和分子组能量的形式和分布进行了探讨.
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Some building methods of studying fluctuated questions was analyzed by means of CA. Then, it works over the micromechanism of the elastic P-wave propagation in solid medium that is one-dimensional, homogeneous and isotropic. In this study, it cites classic spring vibrator model, CA's Lattice Gas model and infinite deep potential trough model in the quantum mechanics. A CA's finite deep potential trough is brought forward. In this paper, being based on the de Broglie wave hypothesis, mesoscope...

Some building methods of studying fluctuated questions was analyzed by means of CA. Then, it works over the micromechanism of the elastic P-wave propagation in solid medium that is one-dimensional, homogeneous and isotropic. In this study, it cites classic spring vibrator model, CA's Lattice Gas model and infinite deep potential trough model in the quantum mechanics. A CA's finite deep potential trough is brought forward. In this paper, being based on the de Broglie wave hypothesis, mesoscope physics, nano-concept and utilizing the Schrodinger equation, the new model starts from the angle of the quantum mechanics, then discusses the relation between the vibratory velocity and the physical wave velocity of particles (the molecular group). It comes to the wave equation and the relation (represents the particle vibratory velocity and stands for the physical wave velocity). Meanwhile after introducing the gravitational field, the thesis discusses the size and the energy transmission problem of particles, and then gets the quantized condition of the energy and the gravitational potential. Moreover, comparing the new model with the acoustic wave and the Lattice Gas, it analyzes the velocities among them. In addition, it dissects the energy of the molecular group. Finally, the prospects are looked forward to in this field.

分析了采用细胞自动机研究波动问题的建模方法 ,针对一维、均匀、各向同性固体介质中弹性纵波的微观机制 ,借用了经典弹簧振子模型、细胞自动机格子气模型 ,以及量子力学中的无限深势阱模型 ,建立了一个细胞自动机有限深势阱模型 .从量子力学角度出发 ,基于介观物理和纳米概念 ,以微观粒子的德布罗意假设为基础 ,利用薛定谔方程 ,讨论了该模型中粒子 (分子组 )的振动速度与粒子物质波波速之间的联系 ,给出了模型中的波动方程 ,得出 ζ =Vp(ζ为粒子振动速度 ,Vp 为物质波纵波波速 ) .同时还讨论了模型中粒子的大小和能量传递问题 ,引入引力场 ,得出了能量及引力势的量子化条件 .另外 ,对声波速度、格子气粒子振动速度和本文模型中分子组振动速度进行了比较 ;还对本文模型中的粒子能量分布作了分析 .

Based on the cellular automata finite deep potential trough model and the Lennard-Jones(12-6) potential,the paper analyses the form and distribution of the potential energy and energy of the molecule group in the model in terms of the deduce of the quantum mechanics.Simultaneously,the paper further illustrates the microscopic and macroscopic characteristics of the molecule group,namely,the cut off radius coefficient μ which has the microscopic quality and the equilibrium radius coefficient...

Based on the cellular automata finite deep potential trough model and the Lennard-Jones(12-6) potential,the paper analyses the form and distribution of the potential energy and energy of the molecule group in the model in terms of the deduce of the quantum mechanics.Simultaneously,the paper further illustrates the microscopic and macroscopic characteristics of the molecule group,namely,the cut off radius coefficient μ which has the microscopic quality and the equilibrium radius coefficient τ which has the macroscopic quality,and discusses the influences of the changes of μ and τon the potential energy and energy of the model.Furthermore the paper presents the Lennard-Jones(10-6) potential function,which is periodic distribution and exhibits a "bucket" in a single potential trough.What's more,the paper deduces the formula related to the energy of the molecule group and obtains the possible distribution and some rules of the energy via analyzing the changes of the potential energy,that is,the energy of the molecule group exhibits the structure of the continuous(when the potential energy equals to zero) and discontinuous(when the potential energy equals to nonzero) energy belt and the interval of the neighboring energy is gradually enlarged in a single potential trough on the whole.

在细胞自动机有限深势阱模型的基础上,利用Lennard-Jones(12-6)势能,通过量子力学推导和分析,对模型中的势能和分子组能量的形式和分布进行了探讨.得到了分子组具有微观和宏观的性质的进一步说明(具有微观尺度特性的截断半径系数μ和具有宏观尺度特性的平衡半径系数τ),并讨论了μ和τ的变化对模型势能和能量的影响;得到了模型的Lennard-Jones(10-6)势能函数,并且势能是周期性分布的,在单个势阱中呈“桶”状;推出了分子组能量满足的关系式,并通过分析势能的变化,得到了模型中分子组能量的可能分布和一些规律,分子组的能量具有连续能带(势能为0)和不连续能带(势能不为0)结构;整体上单个势阱中相邻能量的间隔是逐渐增大的.

 
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