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Solution of Relativistic Feshbach–Villars Spin-1/2 Equations

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Abstract

We propose a computational method for relativistic spin-1/2 particles by solving the corresponding Feshbach–Villars equation. We have found that the Feshbach–Villars spin-1/2 Hamiltonian can be written as two spin-coupled Feshbach–Villars spin-0 Hamiltonians. For the solution method, we adopted an integral equation formalism. The potential operators are represented in a discrete Hilbert space basis and the relevant Green’s operator has been calculated by a matrix continued fraction.

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Acknowledgements

The work of D. W. has partially been supported by the Google Summer Research Assistantship and the Gisela and Wilfried Eckhardt Endowment Research Assistantship.

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Authors and Affiliations

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

    D. Wingard, A. Garcia Vallejo & Z. Papp

  2. Department of Physics, New Mexico State University, Las Cruces, NM, USA

    A. Garcia Vallejo

Authors
  1. D. Wingard
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  2. A. Garcia Vallejo
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  3. Z. Papp
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All authors contributed about the same amount at various stages of this project.

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Correspondence to Z. Papp.

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Wingard, D., Garcia Vallejo, A. & Papp, Z. Solution of Relativistic Feshbach–Villars Spin-1/2 Equations. Few-Body Syst 65, 30 (2024). https://doi.org/10.1007/s00601-024-01902-8

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  • DOI: https://doi.org/10.1007/s00601-024-01902-8

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