Differential Forms of Completeness Relation in Two-Mode 〈ξ|-〈η| Representations
Fan Hong-Yi, Liu NaiLe · Communications in Theoretical Physics · 1999
On the basis of the common eigenvectors 〈η| and 〈ξ|, which respectively are eigenvectors of two particles' relative position and total momentum as well as center-of-mass coordinate and relative momentum, we find that there exist differential forms of completeness relation. The applications of the new completeness relation are pointed out. Throughout our discussion the technique of differentiation within an ordered product of operators is fully employed.