On Hamiltonians Generating Optimal-Speed Evolutions
نویسنده
چکیده
We present a simple derivation of the formula for the Hamiltonian operator(s) that achieve the fastest possible unitary evolution between given initial and final states. We discuss how this formula is modified in pseudo-Hermitian quantum mechanics and show by explicit calculation that the minimum travel time and the optimal-speed Hamiltonians are determined by the metric operator (inner product) on the physical Hilbert space. PACS number: 03.65.-w
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