Quantum Mechanics

The formula for the position of the center of mass of two particles is given by: Let the positions of the two particles be and . Initially, both particles have the same mass , so the center of mass is located at: Now, if the mass of one particle is doubled, then the new mass is , and the new center of mass is: The shift in the position of the center of mass is: Thus, the shift in the position of the center of mass is .