Abstract
The method of an extended canonical point transformation is used to reformulate the singular repulsions in a classical hard-sphere gas as equivalent velocity-dependent interactions. The approach provides a Hamiltonian in which the repulsions appear as nonlocal potential interactions between the particles and may therefore be treated within any of the conventional perturbation methods of many-body analysis. Application of the technique to obtain a kinetic equation for a hard-sphere gas is outlined.
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