Unitary operators in quantum mechanics
📚 Unitary operators in quantum mechanics are used to describe physical processes such as spatial translations and time evolution. In this video, we discuss the basic properties of unitary operators and how we can transform quantum states and observables under the action of unitary operators.
⏮️ BACKGROUND
Dirac notation in state space: • Dirac notation: state space and dual space
Operators: • Operators in quantum mechanics
Representations: • Representations in quantum mechanics
Matrix formulation: • Matrix formulation of quantum mechanics
Eigenvalues and eigenstates: • Eigenvalues and eigenstates in quantum mec...
⏭️ WHAT NEXT?
Translation operators: • The translation operator in quantum mechanics
Time evolution operator: • The time evolution operator in quantum mec...
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Director and writer: BM
Producer and designer: MC