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.