Problem 6.52

Two identical non-relativistic particles move at right angles to each other, possessing de Broglie wavelengths \(\lambda_{1}\) and \(\lambda_{2}\). Find the de Broglie wavelength of each particle in the frame of their centre of inertia.

\tilde{\lambda}=2 \lambda_{1} \lambda_{2} / \sqrt{\lambda_{1}^{2}+\lambda_{2}^{2}}

Wave Properties of particles. Schrodinger Equation.