自伴運算元 的英文怎麼說
中文拼音 [zìbànyùnsuànyuán]
自伴運算元
英文
selfadjoint operator- 自 : Ⅰ代詞(自己) self; oneself; one s own Ⅱ副詞(自然;當然) certainly; of course; naturally; willin...
- 伴 : Ⅰ名詞(夥伴; 伴侶) companion; partner Ⅱ動詞(隨同; 配合) accompany
- 運 : Ⅰ動詞1 (物體位置不斷變化) move; revolve 2 (搬運; 運輸) carry; transport 3 (運用) use; wield...
- 算 : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
- 運算 : [數學] operation; arithmetic; operating
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The resolvent operator of the 2n - order j - selfadjoint vector differential operator with one endpoint singularity
自伴向量微分運算元的預解運算元On [ a, b ] the product l = l2 lt of operator l { and l2 is selfadjoint if and only if 4
討論一類兩個四階對稱微分算式生成的積運算元的自伴性; 4On self - adjointness of the product of three second - order differential operators
三個二階微分運算元積的自伴性And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique
) dinser方程的求解問題,討論了自伴運算元的本徵函數的正交性和完備性,介紹了尋求微分方程的近似解常用的攝動方法,並從帶有某種擾動項的nls方程出發,利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程,通過對近似方程中運算元的特徵態的討論,引入適當的「導出態」 ,建立了運算元在l _ 2空間的特徵態的完備性。By resorting to the residue method, the asymptotic formulas for the eigenvalues and the expansion theorems of dirac eigenvalue problems are proved under the self - adjoint and non - self - adjoint boundary conditions
本文用留數方法證明了自伴和非自伴的dirac運算元的特徵值估計和特徵展開定理。Multiplicative self - adjoint maps on a non - standard operator algebra which preserve spectrum
一個非標準運算元代數上的保譜乘法自伴映射Functional inequalities for fractional powers of positive definite self - adjoint operators
正定自伴運算元分數冪的泛函不等式5. on [ a, b ] the product l = l3l2l { of operator lltl2 and l3 is selfadjoint if and only if a and l2 is selfadjoint. 6
討論三個正則的s - l運算元積的自伴性和一個s - l運算元與一個四階微分運算元積情形。For the non - self - adjoint dirac operators, there are plentiful content in the problems of eigenval ue expansion problems
從所得結果來看,對于非自伴dirac運算元來說,特徵展開問題具有相當豐富的內容。For the expansion theorems of self - adjoint dirac operator, it is difficult to prove it by using the method of integral equation
對于自伴dirac運算元的特徵展開定理的證明,用積分方程方法有一定的困難。About dirac eigenvalue problem with general two points " liner algebra, corresponding operator of which often is non - self - adjoint operator
對於一般兩點線性(代數)邊界條件下的dirac特徵值問題,相應的運算元一般說是非自伴的。The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points. for the expansion theorem of non - self - adjoint dirac operator, it is unable to use the method of integral equation. but under the linear boundary condition and unlocal boundary condition, the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method
對于非自伴dirac運算元的特徵展開定理已無法應用積分方程的方法,本文仍用留數方法對一個兩點非自伴邊界條件和一個非局部邊界條件下產生的非自伴運算元的特徵展開問題進行了討論,分別得到了它們的特徵展開定理。On [ 0, oo ) the product l = l2lt of operator z, j and l2 isselfadjointifandonly if where 4 5, c, ? are some ordinary matrix with rank ( a b ) = rank ( c d ) = 4. 2
關于積運算元的自伴性,兩個正則或奇異的二階對稱微分算式生成的積運算元的自伴性已取得一些結果。分享友人