Abstract
This chapter discusses the relationship between exact wave functions and approximate wave functions, with emphasis on size-extensivity, the variation principle and symmetry restrictions. It describes important characteristic properties of the exact solution to the time-independent Schrödinger equation for a molecular electronic system. The exact wave function is size-extensive in the sense that, for a system containing non-interacting subsystems, the total energy is equal to the sum of the energies of the individual systems. The chapter examines two important theorems of quantum chemistry such as the Hellmann-Feynman theorem and the molecular virial theorem.
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