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Results tagged with time-evolution
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user 294547
The quantum mechanical time evolution operator governs how observables and/or states evolve during finite time steps, and is always unitary. Use this tag for questions about the time evolution operator, or the different equations of motion in the Schrödinger/Heisenberg/Dirac pictures. For time-independent Hamiltonians, the time evolution operator is simply exp(-iHt).
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Notation in the Liouville-von Neumann equation $ i\hbar\frac{dI}{dt} = i\hbar\frac{\partial ... [duplicate]
The Liouville-von Neumannn equation is defined by
$$
i\hbar\frac{dI}{dt} = i\hbar\frac{\partial I}{\partial t} + [I, H]
$$
where $I$ is any operator and $H$ is the Hamiltonian. I assume that the left- …
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