Projection operators in quantum mechanics
📚 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 space
Operators: • Operators in quantum mechanics
Eigenvalues and eigenstates: • Eigenvalues and eigenstates in quantum mec...
Hermitian operators: • Hermitian operators in quantum mechanics
⏭️ WHAT NEXT?
Measurements | Concepts: • Measurements in quantum mechanics || Concepts
Measurements | Maths: • Measurements in quantum mechanics || Mathe...
Symmetric and antisymmetric states: • Symmetric and antisymmetric states of many...
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Director and writer: BM
Producer and designer: MC