H = -ℏ²/2m ∇² - Ze²/r
where a_0 is the Bohr radius.
The Hamiltonian for a one-electron atom is: 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:
A classic topic in physics!
where H is the Hamiltonian operator, ψ is the wave function, and E is the total energy.
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. H = -ℏ²/2m ∇² - Ze²/r where a_0 is the Bohr radius
Hψ = Eψ
