Addition to Quantum
by Chaidhat Chaimongkol

This is a denumerable basis

{∣k⟩:k=0,1,2,...}\{\ket{k}\quad:\quad k=0,1,2,...\}{∣k⟩:k=0,1,2,...}

This is a non-denumerable basis

{∣x⟩:x∈R}\{\ket{x}\quad:\quad x\in\mathbb{R}\}{∣x⟩:x∈R}

See Continuous Identity See Continuous Orthonormality See Continuous Operator