Relativistic wave equations: An operational approach

G. Dattoli, E. Sabia, K. Górska, A. Horzela, K.A. Penson

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9 Citations (Scopus)

Abstract

The use of operator methods of an algebraic nature is shown to be a very powerful tool to deal with different forms of relativistic wave equations. The methods provide either exact or approximate solutions for various forms of differential equations, such as relativistic Schrödinger, Klein-Gordon, and Dirac. We discuss the free-particle hypotheses and those relevant to particles subject to non-trivial potentials. In the latter case we will show how the proposed method leads to easily implementable numerical algorithms.
Original languageEnglish
Article number125203
Pages (from-to)-
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number12
DOIs
Publication statusPublished - 27 Mar 2015
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Dattoli, G., Sabia, E., Górska, K., Horzela, A., & Penson, K. A. (2015). Relativistic wave equations: An operational approach. Journal of Physics A: Mathematical and Theoretical, 48(12), -. [125203]. https://doi.org/10.1088/1751-8113/48/12/125203