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 squ
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)