辛流形 的英文怎麼說
中文拼音 [xīnliúxíng]
辛流形
英文
symplectic manifold-
While the new components having the same numbers with these original physical vectors are introduced and the new components are combined with those original physical components to form a new symplectic space, the ray problem of wave propagation in geometrical optics is converted into the problem of lagrange submanifold in the symplectic space
通過引入波向量（慢度向量） ，將物理空間中幾何光學的射線問題轉化為辛空間中的lagrange子流形（超曲面）問題。In this paper, by means of the euler systems on the symplectic manifold, the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained. then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint. by means of this and based on the euler - lagrange function and legendre transformations, the reasonable jacobi - ostrogradsky coordinate systems are found, which can also be realized
本文主要通過流形上的euler系統，討論四階特徵值問題所對應的bargmann系統和neumann系統，藉助于lax對非線性化及euler - lagrange方程和legendre變換，構造一組合理的且可實化的jacobi - ostrogradsky坐標系? hamilton正則坐標系，將由lagrange力學描述的動力系統轉化為辛空間（ r ~ （ 8n ） ， ）上的hamillton正則系統。Chen b l, et al. rftir measurement on backside thinned detector film of insb infrared focal plane arrays [ a ]. proc. spie [ c ]. 2000, 4086. 155 - 157
陳伯良，朱建妹，辛田玲，等.紅外焦平面器件用高密度微細銦珠陣列淀積再流成形方法[ p ] .中國專利: 98121916 . 0 ， 2001 - 4 - 13Its content may be separated into two parts. the first part contains chapter one and chapter two, which treat of the harmonic maps from surface into symplectic groups and quaternion grassmann manifolds. the second part contains chapter three and chapter four, which treat of local isometric immersions from space forms or riemannian products of space forms into space forms
全文分四章，內容可分為兩部分：第一部分包括第一、二章，主要論涉從曲面到辛群及四元grassmann流形的調和映射；第二部分包括第三、四章，主要論涉從空間形式或空間形式的局部riemann積到空間形式的局部等距浸入。The author focuses discussion on maxwell equations in two dimensions involving respectively the two conditions that the current density is zero and the current density exists. the symplectic integrator method is implicit except that the hamiltonian is separable. but when the current density exists, the hamiltonian is not separable
主要分析了二維情形下電流密度為零和電流密度存在時的兩種情況，由於第二種情況下maxwell方程不是可分的hamilton系統，因此理論上文中提出的顯式辛演算法不可行，但是證明了辛prk方法仍然可以運用，且格式依然保持顯示。Symplectic partitioned methods of the dynamic equations of multibody systems on manifolds
多體系統動力學方程在流形上的辛分離法分享友人