Quantum Mechanical Description of the Atomic Orbital

A hydrogen atom is electrically neutral, containing a single proton and a single electron bound to the nucleus by the Coulomb force.

Quantum indeterminacy refers to the necessary incompleteness in the description of a physical system.

Quantum numbers provide a numerical description of the orbitals in which electrons reside.

The Pauli exclusion principle states that no two fermions can have identical wavefunctions.

The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically.

The hydrogen atom is the simplest one-electron atom and has analytical solutions to the Schrödinger equation.