Abstract
We give picture-covariant formulations of the equations of motion for observables and states such that the Hamiltonian operator is transformed asH-0304;=U(t)HU †(t) under a time-dependent unitary transformationU(t). Next, we consider the explicit and implicit covariance of Heisenberg's equations of motion for observables with respect to general transformations of coordinate operators. Most of our representation is spread out over a number of textbooks and articles, where the subject has been considered with greater or lesser clarity from different points of view.
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Kasper, U., Kreisel, E. & Treder, H.J. On the covariant formulation of quantum mechanics. Found Phys 7, 375–389 (1977). https://doi.org/10.1007/BF00711489
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DOI: https://doi.org/10.1007/BF00711489