Franz Schwabl Quantum Mechanics 4th Edit · Problem 6.10

Motion in an Electromagnetic Field

Physics — Quantum Mechanics · two-body-kinetic-energy-coordinates

Problem

Express

\dfrac{-\hbar^2}{2m_1}\boldsymbol{\nabla}_1^2 - \dfrac{\hbar^2}{2m_2}\boldsymbol{\nabla}_2^2

in terms of relative and center-of-mass coordinates.