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Matrix Continued Fraction Solution to the Relativistic Spin-0 Feshbach–Villars Equations

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Abstract

The Feshbach–Villars equations, like the Klein–Gordon equation, are relativistic quantum mechanical equations for spin-0 particles.We write the Feshbach–Villars equations into an integral equation form and solve them by applying the Coulomb–Sturmian potential separable expansion method. We consider boundstate problems in a Coulomb plus short range potential. The corresponding Feshbach–Villars CoulombGreen’s operator is represented by a matrix continued fraction.

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Authors and Affiliations

  1. Department of Physics and Astronomy, California State University Long Beach, Long Beach, CA, USA

    N. C. Brown, Z. Papp & R. Woodhouse

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  1. N. C. Brown
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  2. Z. Papp
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  3. R. Woodhouse
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Correspondence to Z. Papp.

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Brown, N.C., Papp, Z. & Woodhouse, R. Matrix Continued Fraction Solution to the Relativistic Spin-0 Feshbach–Villars Equations. Few-Body Syst 57, 103–108 (2016). https://doi.org/10.1007/s00601-015-1032-6

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  • DOI: https://doi.org/10.1007/s00601-015-1032-6

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