Eigenvalues and eigenstates in quantum mechanics

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📚 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.

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⏮️ BACKGROUND
Dirac notation in state space:    • Dirac notation: state space and dual ...  
Operators:    • Operators in quantum mechanics  
Representations:    • Representations in quantum mechanics  
Matrix formulation:    • Matrix formulation of quantum mechanics  

⏭️ WHAT NEXT?
Hermitian operators:    • Hermitian operators in quantum mechanics  
Projection operators:    • Projection operators in quantum mecha...  
Measurements | Concepts:    • Measurements in quantum mechanics || ...  
Measurements | Maths:    • Measurements in quantum mechanics || ...  
Pauli matrices:    • The Pauli matrices  

📖 READ MORE
Textbook: Mathematical Methods for Physics and Engineering, K.F. Riley, M.P. Hobson, S.J. Bence, Cambridge University Press, Sections 8.13 to 8.16

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Director and writer: BM
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