CAJ | 학술논문

本文研究了四元数量子力学中一类要求其解是正规或可对角化四元数矩阵的特征值反问题.并给出了其有解的充要条件和通解的表达式.讨论了四元数量子力学中带有谱约束的最小二乘解反问题,得到了此问题有解的充分条件.最后给出了数值算法和数值例子.
본문연구료사원수양자역학중일류요구기해시정규혹가대각화사원수구진적특정치반문제.병급출료기유해적충요조건화통해적표체식.토론료사원수양자역학중대유보약속적최소이승해반문제,득도료차문제유해적충분조건.최후급출료수치산법화수치례자.
One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics. A sufficient and necessary condition for the existence of solution of is determined, followed by the representation of the general solution. The inverse least square problem with spectral constraints is also studied and a sufficient condition is given for its solvability. At last a numerical algorithm and a numerical example are given.