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# Time dependent equations
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The `td-wslda` code solves equations of the form:
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```math
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i \dot{\varphi_n} = \hat{H}(\{\varphi_n\},t)\varphi_n
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i \dot{\varphi_n}(t) = \hat{H}(\{\varphi_n\},t)\varphi_n(t)
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```
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where the Hamiltonian is given by
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```math
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