Quantum Mechanics Of One- And Two-electron Atoms Pdf -

The Hamiltonian for a two-electron atom is:

where H is the Hamiltonian operator, ψ is the wave function, and E is the total energy. quantum mechanics of one- and two-electron atoms pdf

The Hamiltonian for a one-electron atom is: The Hamiltonian for a two-electron atom is: where

The two-electron atom, also known as the helium-like atom, consists of two electrons orbiting a nucleus with atomic number Z. The time-independent Schrödinger equation for this system is: ψ is the wave function

Hψ = Eψ

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.