method n. 1.方法,方式;顺序。 2.(思想、言谈上的)条理,规律,秩序。 3.【生物学】分类法。 4. 〔M-〕【戏剧】融入法〔指演员完全融入角色的精湛演技〕。 a scientific method 科学方法。 the zero [null] method 衡消法。 the oral method 口授法。 a man of method 有条有理的人。 There's method in his madness. 他虽似疯狂其实颇有理性。 work with method 照手续[规矩]办事。
But recently some people presented a new algebraic diagonalization method 最近有人提出一种新的代数对角化方法。
The differential inequality theory and diagonalization method, as two effective tools in solving singular perturbation problems, have developed rapidly in the recent several decades 微分不等式与对角化方法作为两种解决奇异摄动问题的有效手段,近几十年来,得到快速发展。
In the first chapter of the article we introduce the bogoliubov-valatin transformation theory based upon the xxx antiferromagnetic model . in the second chapter, a new algebraic diagonalization method is presented 第二章介绍一种新的代数对角化方法的理论,这种方法可以将具有半单李代数结构的哈密顿量对角化。
In this paper, these two methods are employed to consider three kinds of singular perturbation boundary value problems . in the first section, the existence of solution for a class of non-linear systems with three-point boundary problem is obtained by applying the differential inequality theory . in the second section, we use the differential inequality theory to discuss the non-monotone interior layer solution for one kind of singularly perturbed quasilinear boundary value problems with a turning point . in the third section, the diagonalization method is applied to study the existence of solution for a class of vector differential systems with two-point or three-point boundary problems . meanwhile, the asymptotic estimate of the solution as well as its first-order derivative and its second-order derivative is obtained 在第一部分中,我们应用微分不等式理论证明了一类非线性系统三点边值问题解的存在性;在第二部分中,运用微分不等式理论研究了一类带有转向点的拟线性奇摄动边值问题的非单调内层解;在第三部分中,利用对角化方法研究了一类向量二点或者三点边值问题解的存在性,并获得解及它的一、二阶导数的渐近估计。
By using the new method, the eigenstate of xxz antiferromagnetic model is solved, which is revealed to be 5 ? l, l ) coherent state . in the third chapter, we discussed the relation between the bogoliubov-valatin transformation and the algebraic method based upon the bcs model hamiltonian at first . then, we diagonalized the ssh model hamiltonian for the first time by using the algebraic diagonalization method 第三章我们首先使用bogoliubov-valatin变换对角化和新的代数对角化两种方法,将bcs模型的哈密顿量对角化,并对两种对角化方法作了比较、讨论;其后,本文首次给出了代数对角化方法在ssh模型中的应用,并且其结果也与bv变换法的作了同上面bcs模型类似的讨论。