差分法 calculus of differences; calculus of finite differences; diference method; finite difference method; finite-difference approach; finite-difference method; method of difference; method of finite differences
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( 4 ) finally , the ginzberg - landau equation is considered . by the ansatz method , the chirped femtosecond solitonlike solution is given , and the stability of the solutions are studied in detail by linear stability analysis with variation method . also the long - distance stability of the ultrashort pulse and the interaction between the solutions are also discussed by numerical method ( 4 )讨论描述超短光脉冲传输的高阶ginzberg - landau方程,给出该方程的啁啾类孤波解,并利用变分法解析地讨论啁啾类孤波解的线性稳定性,同时研究这种类孤波解的长距离稳定性和相互作用。
Based on the given linear holstein model , and using the variational method we obtained the ground state properties of the electron - phonon interaction system with cubic and quartic lattice ( phonon ) terms . we obtained the relations between the ground state energy and the phonon squeezing effect and polaron squeezing effect as well as the variation of the polaron bandwidth 在线性holstein模型的基础上,采用变分法得出了含晶格(声子)三次方和四次方势下系统基态特性,得到了基态能量与声子压缩效应和极化子压缩效应的关系,并求得了极化子能带宽度的变化规律。
The binding energies of excitons are calculated with the use of variational approach , we consider the mismatch of effective masses between the well and the barrier in the process of calculation , calculate and talk about the virial theorem values in square quantum - well wires in presence of a magnetic field 本文采用变分法,在外加磁场条件下分别计算了激子在无限深和有限深方形量子线中的基态束缚能。在计算的过程中进一步考虑了阱,垒中粒子有效质量不匹配的影响,最后我们计算并讨论了外加磁场情况下的维里定理。
Review of linear algebra , applications to networks , structures , and estimation , lagrange multipliers , differential equations of equilibrium , laplace ' s equation and potential flow , boundary - value problems , minimum principles and calculus of variations , fourier series , discrete fourier transform , convolution , applications 线性代数回顾,网络,结构以及估计的应用,拉格朗日乘数,平衡态的微分方程,拉普拉斯方程和势流,边值问题,最小值原理和变分法,傅立叶级数,离散傅立叶变换,卷积,应用。
Variational - effective index method and finite difference beam propagation method ( fd - bpm ) are both practicable waveguide simulation tools . the variational - effective index method is based on mixing the variational method ( vm ) and the effective index method ( eim ) , it can be used with very accuracy to simulate the field distribution 变分有效折射率法是变分法( vm )和有效折射率法( eim )的结合,它能够很精确地模拟光场分布情况;有限差分束传播法则能够准确地模拟波导的性能。
In the effective mass approximation , using the two - dimensional equivalent potential model and a simple two - parameter wave function , we calculate variationally the ground state binding energy and correlation energy of positively and negatively charged excitons in finite deep gaas - al0 . 33ga0 . 67as quantum wells . the results show fair agreement with the previous experimental results 在有效质量近似下,我们采用二维等效势模型,并且选取了数学形式简单、物理意义明确的两参数变分波函数,利用变分法数值计算了有限深gaas ? al _ ( 0 . 33 ) ga _ ( 0 . 67 ) as量子阱中带电激子的基态束缚能及相关能,所得结果与实验结果符合得很好。
In 1990s , a calculation of the ground - state energy of an exciton confined in a cylindrical quantum wire in the presence of a uniform magnetic field is reported as a function of wire radius , using a variational approach by gang li , spiros v . branis and k . k . bajaj . a . balandin and s . bandyopadhya present variational calculations of the ground - state exciton binding energy and exciton radius in a quantum wire subjected to an external magnetic field . these studies have been primarily responsible for our current understanding of the nature of excitonic states in a quantum wire subjected to an external magnetic field 九十年代中期,人们就开始了关于在外加磁场时量子线中激子特性的研究, gangli , spirosv . branis和k . k . bajaj利用变分法,对于圆柱形的量子线中激子的基态束缚能进行了计算,发现对于一个给定的磁场值,激子的基态束缚能比不加磁场时变大。