Differential forms of completeness relation in two-mode <xi vertical bar-<eta vertical bar representations

Authors
Fan, HY Liu, NL
Citation
Hy. Fan et Nl. Liu, Differential forms of completeness relation in two-mode <xi vertical bar-<eta vertical bar representations, COMM TH PHY, 32(4), 1999, pp. 611-614
Citations number
7
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN journal
02536102 → ACNP
Volume
32
Issue
4
Year of publication
1999
Pages
611 - 614
Database
ISI
SICI code
0253-6102(199912)32:4<611:DFOCRI>2.0.ZU;2-P
Abstract
On the basis of the common eigenvectors <eta \ and <xi \, which respectivel y are eigenvectors of two particles' relative position and total momentum a s well as center-of-mass coordinate and relative momentum, we find that the re exist differential forms of completeness relation. The applications of t he new completeness relation are pointed out. Throughout our discussion the technique of differentiation within an ordered product of operators is ful ly employed.