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The fractionary Schrödinger equation, Green functions and ultradistributions

Author

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  • De Paoli, A.L.
  • Rocca, M.C.

Abstract

In this work, we generalize previous results about the Fractionary Schrödinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given. In particular we evaluate the Green function for a free particle in the general case, for an arbitrary order of the derivative index.

Suggested Citation

  • De Paoli, A.L. & Rocca, M.C., 2013. "The fractionary Schrödinger equation, Green functions and ultradistributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 111-122.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:1:p:111-122
    DOI: 10.1016/j.physa.2012.08.017
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