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retarded_propagator_._time-independent_hamiltonian [2015/11/04 14:50] nikolaj |
retarded_propagator_._time-independent_hamiltonian [2016/08/30 20:38] nikolaj |
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| | @#55CCEE: context | @#55CCEE: $\mathcal H$ ... Hilbert space | | | @#55CCEE: context | @#55CCEE: $\mathcal H$ ... Hilbert space | | ||
| | @#55CCEE: context | @#55CCEE: $H\in\mathrm{Observable}(\mathcal H)$ | | | @#55CCEE: context | @#55CCEE: $H\in\mathrm{Observable}(\mathcal H)$ | | ||
| - | |||
| | @#FFBB00: definiendum | @#FFBB00: $P:\mathbb{R}\times\mathbb{R}\to L(\mathcal H,\mathcal H)$ | | | @#FFBB00: definiendum | @#FFBB00: $P:\mathbb{R}\times\mathbb{R}\to L(\mathcal H,\mathcal H)$ | | ||
| | @#FFBB00: definiendum | @#FFBB00: $P(t,s):=\exp\left(i\,(t-s)\frac{1}{\hbar}H\right)$ | | | @#FFBB00: definiendum | @#FFBB00: $P(t,s):=\exp\left(i\,(t-s)\frac{1}{\hbar}H\right)$ | | ||
| Line 65: | Line 64: | ||
| [[Hilbert space]] | [[Hilbert space]] | ||
| === Requirements === | === Requirements === | ||
| - | [[Observable]], [[Linear operator algebra]] | + | [[Observable]], |
| + | [[Linear operator algebra]] | ||
| === Related === | === Related === | ||
| + | [[Hamiltonian]], | ||
| [[Linear first-order ODE system]] | [[Linear first-order ODE system]] | ||
