Relativistic equations with fractional and pseudodifferential operators

D. Babusci, G. Dattoli, M. Quattromini

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In this paper we use different techniques from the fractional and pseudo-operators calculus to solve partial differential equations involving operators with noninteger exponents. We apply the method to equations resembling generalizations of the heat equations and discuss the possibility of extending the procedure to the relativistic Schrödinger and Dirac equations. © 2011 American Physical Society.
Original languageEnglish
Article number062109
Pages (from-to)-
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
Publication statusPublished - 14 Jun 2011
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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