1986•International Journal of Quantum ChemistryRequires access

Many-dimensional hydrogenlike wave functions and the quantum mechanical many-body problem

John Avery

Abstract

Solutions to the many-dimensional analogue of the Schrödinger equation for the hydrogen atom are used as a starting point for solving the many-particle Schrödinger equation for systems with Coulomb interactions. It is shown that zeroth-order solutions can be improved by means of perturbation theory, which is simplified by means of a sum rule.

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Key concepts: Hydrogen atom, Wave function, Perturbation theory (quantum mechanics), Schrödinger equation, Coulomb, Physics, Quantum, Quantum mechanics