📚 Operators represent physical quantities in quantum mechanics. In particular, their eigenvalues give the possible outcomes of measuring the associated physical quantity, and their eigenstates give the state of the system after the measurement. We first introduce some general properties of the eigenvalues and eigenstates of operators, and then explain how to calculate them for a given operator. 🐦 Follow me on Twitter: ⏮️ BACKGROUND Dirac notation in state space: Operators: Representations: Matrix formulation: ⏭️ WHAT NEXT? Hermitian operators: Projection operators: Measurements | Concepts: Measurements | Maths: Pauli matrices: 📖 READ MORE Textbook: Mathematical Methods for Physics and Engineering, K.F. Riley, M.P. Hobson, S.J. Bence, Cambridge University Press, Sections to ~ Director and writer: BM Producer and designer: MC