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

H = -ℏ²/2m (∇₁² + ∇₂²) - Ze²/r₁ - Ze²/r₂ + e²/r₁₂

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: quantum mechanics of one- and two-electron atoms pdf

where a_0 is the Bohr radius.

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 (∇₁² + ∇₂²) - Ze²/r₁

H = -ℏ²/2m ∇² - Ze²/r

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: also known as the helium-like atom

Hψ = Eψ