We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product of operators is employed to prove that tho...We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new intermediate coordinate-momentum representation for a two-particle system is proposed and applied to some two-body dynamic problems.展开更多
基金supported by the Natural Science Foundation of Heze Universityof Shandong Province of China under Grant Nos.XY07WL01 and XY08WL03the University Experimental Technology Foundation of Shandong Province under Grant No.S04W138+1 种基金the Natural Science Foundation of Shandong Province under Grant No.Y2008A16the National Natural Science Foundation of China under Grant No.10574060
文摘We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new intermediate coordinate-momentum representation for a two-particle system is proposed and applied to some two-body dynamic problems.
