EIGENVECTORS OF 2 PARTICLES RELATIVE POSITION AND TOTAL MOMENTUM

We give the explicit form of the common eigenvectors of the relative position Q(1)-Q(2) and the total momentum P-1+P-2, Of two particles which were considered by Einstein, Podolsky, and Rosen [Phys. Rev. 47, 777 (1935)] in their argument that the quantum-mechanical state vector is not complete. Orthonormality and completeness of such eigenvectors, as well as their use in constructing the unitary operator for simultaneously squeezing Q(1)-Q(2) and P-1 + P-2, are derived by using the technique of integration within an ordered product of operators.