One version of this method uses the Runge-Gross method to show a useful one-to-one correspondence, known as the time-dependent version.
One version of this method uses the Runge-Gross method to show a useful one-to-one correspondence, known as the time-dependent version. Some applications of this process use the Burke-Enzerhof exchange model or the BLYP exhange correlation, while Salsbury and Harris developed a version of it that takes magnetic fields into account. The fundamental equation in this method sets the charge density equal to the sum of the squares of a series of orthonormal wavefunctions. This formalism rests upon the HK theorems, while one method of deriving it relies on adding a kinetic energy term, via the Weizsacker correction, to the Thomas-Fermi model.  Based on the aforementioned Kohn-Sham equation, it breaks down in systems with dispersion forces or strong correlation, and unlike Hartree-Fock it doesn't require a many-electron wavefunction. For 10 points, name this theory which can be used to find the electron density of a many-body system's ground state in terms of a series of functionals, commonly used in quantum chemistry and computational physics.
One version of this method uses the Runge-Gross method to show a useful one-to-one correspondence, known as the time-dependent version.
{Density Functional Theory} or {DFT} (accept {Kohn-Sham} until mention)