Quantum number
Refers to an inter or half integer that specified the value of a quantized physical quantity (energy, angular momentum, etc.,).
Quantum state
Refers to the state of a quantized system as described by its quantum numbers. For instance, the state of a hydrogen atom is described by the four quantum numbers n, 1, m, m5. In the ground stat they have values1,0,1 and ½ respectively.


