Question

Two identical non-relativistic particles move at right angles to each other, possessing de Broglie wavelengths λ₁ and λ₂. Find the de Broglie wavelength of each particle in the frame of their centre of inertia.

Answer 1

If Vector (P₁,P₂) are the momenta o f the two particles then their momenta in the CM ± Vector (P₁,P₂ )/2 frame will be as the particle are identical.

Hence their de Broglie wavelength will be