Correlation: Classical and Quantum

[Sarang Gosavi]

In classical physics we can calculate the interaction between 2 bodies analytically but things complicate once another planetary object is to be considered. Then we have to consider interaction between each object and combine them, eg: Lagrange’s 3-body problem.

In quantum systems however, we consider the exchange interaction between the particles and we have to find the energy differences between two solutions, namely the Hartree energy and the Hartree-Fock energy.

My guess for the need for different definitions would be because, in case of the the classical interaction gravitation is the only mediating force. In quantum systems the interactions are govern by electromagnetic forces and phase differences. It would something P.W. Anderson wrote in his essay “More is Different” where a collective system doesn’t represent the addition of individual systems.

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