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Partial differential equation which describes the time evolution of the wavefunction of a quantum system. It is one of the first and most fundamental equations of quantum mechanics.
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What determines the Hamiltonian of an isolated quantum system?
Let an isolated quantum system be in state $|\psi\rangle$. Then, quantum mechanics says the system evolves in time according to some Hamiltonian $H$, which does not depend on $|\psi\rangle$. But the f …