Projection operators in quantum mechanics

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📚 In this video we learn about the properties of the projection operator in quantum mechanics. The projection operator allows us to find the component of a quantum state along another quantum state or within a subspace of the full state space. It finds applications in many areas, ranging from what happens to the state of a particle after we perform a measurement of one of its properties, to the construction of the symmetric and antisymmetric states under particle exchange that describe quantum systems of multiple identical particles.

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⏮️ BACKGROUND
Dirac notation in state space:    • Dirac notation: state space and dual ...  
Operators:    • Operators in quantum mechanics  
Eigenvalues and eigenstates:    • Eigenvalues and eigenstates in quantu...  
Hermitian operators:    • Hermitian operators in quantum mechanics  

⏭️ WHAT NEXT?
Measurements | Concepts:    • Measurements in quantum mechanics || ...  
Measurements | Maths:    • Measurements in quantum mechanics || ...  
Symmetric and antisymmetric states:    • Symmetric and antisymmetric states of...  

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Director and writer: BM
Producer and designer: MC