Hamiltonian Operator and Fourier Analysis | Quantum Mechanics

This video goes over how the wavefunction can be a linear combination of the plane waves assumed in our 'derivation' of the Schrodinger equation. This allows us to get the wave packets used for particles. It also shows how, with each plane wave representing a single momentum value, then by adding many of them up, we lose certainty in the momentum while gaining certainty in the position, giving us a useful interpretation of the Heisenberg uncertainty principle. I also show how the Hamiltonian operator can be found from the wave function.

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