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## Homework Statement

Please see attached problem

## Homework Equations

## The Attempt at a Solution

Ok so im just stuck on the bit that asks us to write down the appropriate form of the interaction hamiltonian H int for two oscillating particles connected by a weak spring. Is it 1/2 k (xa - xb) ^2?

It asks whether H

_{A}commutes with H

_{int}. Not sure about this>? What would be the physical significance?