We give the explicit form of the common eigenvectors of the relative position ${\mathit{Q}}_1$-${\mathit{Q}}_2$ and the total momentum ${\mathit{P}}_1$+${\mathit{P}}_2$, 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 ${\mathit{Q}}_1$-${\mathit{Q}}_2$ and ${\mathit{P}}_1$+${\mathit{P}}_2$, are derived by using the technique of integration within an ordered product of operators.

• Received 14 July 1993

DOI:https://doi.org/10.1103/PhysRevA.49.704