Different definition between classical and quantum systems

[Jules]

In the classical example for planetary motion around the sun, correlation is defined in terms of the difference in energy between two calculation methods. In the quantum system, the solution is sought in terms of wavefunctions, that correspond to energies via the Schrödinger equation. However, multiple ways have been proposed to construct the many-body wavefunction from single particle wavefunctions. Due to this, correlation in a quantum system could perhaps be defined in multiple ways. I suppose that, since the Hartree-Fock method gives a better solution than the Hartree method, correlation for a quantum system is defined in terms of the Hartree-Fock method.

[Author]

Posts