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Time-independent form

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Annotated LaTeXWrap leaf terms with \htmlData{term=key}{...}. Nested terms are refused.
H^ψ=Eψ\htmlData{term=hamiltonian}{\hat{H}} \htmlData{term=stationary-state}{\psi} = \htmlData{term=energy-eigenvalue}{E} \htmlData{term=stationary-state}{\psi}
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Definition

The operator for the total energy. It generates time evolution.

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Role

Specifies the physics of the system. Different potentials and kinetic terms are different choices of H^\hat{H}.

Effect

If H^\hat{H} is independent of time, its eigenstates are stationary and evolve only by a phase.

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