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Equivalence of the Schroedinger and Heisenberg Pictures

Abstract

IN a recent re-examination1 of the foundations of quantum mechanics, Dirac asserts, inter alia, that the Heisenberg and Schroedinger pictures in quantum electrodynamics are not equivalent because the unitary operator which connects both pictures, namely eiHt/h, where H = HDirac field + HMaxwell field + Hinteraction, is the total Hamiltonian in the Schroedinger picture, does not exist. It is the purpose of this communication to question this assertion.

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References

  1. Dirac, P. A. M., Nature, 203, 115 (1964).

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  2. Stone, M. H., Linear Transformations in Hilbert Space (A.M.S., New York, 1932).

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PERLMAN, H. Equivalence of the Schroedinger and Heisenberg Pictures. Nature 204, 771–772 (1964). https://doi.org/10.1038/204771b0

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