1. 4. In the atomic unit a.u.) system, the quantities m, q, and h are all...
1. 4. In the atomic unit a.u.) system, the quantities m, q, and h are all set equal to 1 and length is measured as a multiple of the Bohr radius. As a result, the Hamiltonian operator and Schrödinger's equation become much simpler. The a.u. of energy, known as the Hartree, is equivalent to 2RH (ie, 27.2 eV). The Hamiltonian for Helium can be written in atomic units as Assuming the normalized trial wavefunction use the variationalmethod to determine the optimum value of for He, and hence variational upper bounds on the true ground state energies of He. The basic integrals required are