ABSTRACT

Functional Theory........................................................................................ 48 4.5.1 Hohenberg-Kohn Theorems for the Ground State

of a Many-Electron System ............................................................. 48 4.5.2 Hohenberg-Kohn-Sham Equations for

Determining Density ......................................................................... 48 4.5.3 Exchange-Correlation Hole ............................................................... 51

4.6 Quantum Fluid Dynamics: Time-Dependence of Single-Particle Density..... 52 4.7 Conclusion ................................................................................................... 53 References ............................................................................................................... 53

During the last five decades, an alternative way of looking at the quantum theory of atoms, molecules, and solids in terms of the electron density in three-dimensional (3D) space, rather than the many-electron wave function in the multidimensional configuration space, has gained wide acceptance. The reasons for such popularity of the density-based quantum mechanics are the following:

1. Electron density is a fundamental variable and can be determined experimentally.