EIGENVECTORS OF 2 PARTICLES RELATIVE POSITION AND TOTAL MOMENTUM

Authors
Citation
Hy. Fan et Jr. Klauder, EIGENVECTORS OF 2 PARTICLES RELATIVE POSITION AND TOTAL MOMENTUM, Physical review. A, 49(2), 1994, pp. 704-707
Citations number
10
Categorie Soggetti
Physics
Journal title
ISSN journal
10502947
Volume
49
Issue
2
Year of publication
1994
Pages
704 - 707
Database
ISI
SICI code
1050-2947(1994)49:2<704:EO2PRP>2.0.ZU;2-A
Abstract
We give the explicit form of the common eigenvectors of the relative p osition Q(1)-Q(2) and the total momentum P-1+P-2, Of two particles whi ch were considered by Einstein, Podolsky, and Rosen [Phys. Rev. 47, 77 7 (1935)] in their argument that the quantum-mechanical state vector i s not complete. Orthonormality and completeness of such eigenvectors, as well as their use in constructing the unitary operator for simultan eously squeezing Q(1)-Q(2) and P-1 + P-2, are derived by using the tec hnique of integration within an ordered product of operators.