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The fractionary Schrödinger equation, Green functions and ultradistributions


  • De Paoli, A.L.
  • Rocca, M.C.


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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    References listed on IDEAS

    1. Flitney, A.P. & Abbott, D., 2003. "Quantum models of Parrondo's games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 152-156.
    2. Flitney, A.P. & Ng, J. & Abbott, D., 2002. "Quantum Parrondo's games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 35-42.
    3. N. Masuda & N. Konno, 2004. "Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 40(3), pages 313-319, August.
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