Classical-map hypernetted-chain method: Difference between revisions

Revision as of 01:53, 19 May 2011

Revision as of 18:08, 6 November 2011

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}}</ref> and hence they are of great importance to the physics of many-particle systems.

The HNC and PY integral equations provide the [[pair distribution function]]s of the particles in a classical fluid, even for very high coupling strengths. The coupling strength is measured by the ratio of the potential energy to the kinetic energy. In a classical fluid, the kinetic energy is proportional to the temperature. In a quantum fluid, the situation is very complicated as one needs to deal with quantum operators, and matrix elements of such operators, which appear in various perturbation methods based on [[Feynman diagram]] diagramss. The CHNC method provides an approximate "escape" from these difficulties, and applies to regimes beyond perturbation theory. In [[Robert B. Laughlin]]'s famous Nobel Laureate work on the [[fractional quantum Hall effect]], an HNC equation was used within a classical plasma analogy.

In the CHNC method, the pair-distributions of the interacting particles are calculated using a mapping which ensures that the quantum mechanically correct non-interacting pair distribution function is recovered when the Coulomb interactions are switched off.<ref>