The Hamiltonian for a two-electron atom is:
where ℏ is the reduced Planck constant, m is the electron mass, e is the elementary charge, and r is the distance between the electron and the nucleus. quantum mechanics of one- and two-electron atoms pdf
The one-electron atom, also known as the hydrogen-like atom, consists of a single electron orbiting a nucleus with atomic number Z. The time-independent Schrödinger equation for this system is: The Hamiltonian for a two-electron atom is: where
The quantum mechanics of one- and two-electron atoms is a fundamental area of study in atomic physics. Here's a comprehensive guide to get you started: m is the electron mass