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How to Deal with Nonlocality and Pseudodifferential Operators. An Example: The Salpeter Equation

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Quantum Theory and Symmetries

Part of the book series: CRM Series in Mathematical Physics ((CRM))

Abstract

The spinless (1+1)D free-particle Salpeter equation, a relativistic version of the Schrödinger equation, is presented focusing the attention on its nonlocality and its consequences on the structure of the solution.

Dedicated to Prof. Decio Levi on the occasion of his 70th birthday

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Acknowledgements

The author was funded by the Polish National Agency for Academic Exchange NAWA project: Program im. Iwanowskiej PPN/IWA/2018/1/00098 and was supported by the NCN research project OPUS 12 no. UMO-2016/23/B/ST3/01714. I would like to thank the two anonymous reviewers for their suggestions and comments.

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Authors and Affiliations

  1. H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland

    A. Lattanzi

  2. ENEA Frascati Research Centre, FSN-FUSPHYS-TSM, Frascati (Rome), Rome, Italy

    A. Lattanzi

Authors
  1. A. Lattanzi
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Correspondence to A. Lattanzi .

Editor information

Editors and Affiliations

  1. Département de physique, Université de Montréal, Montréal, QC, Canada

    M. B. Paranjape

  2. Département de physique, Université de Montréal, Montréal, QC, Canada

    Richard MacKenzie

  3. Department of Mathematics and Physics, SUNY Polytechnic Institute, Utica, NY, USA

    Zora Thomova

  4. Department of Mathematics and Statistics, Université de Montréal, Montréal, QC, Canada

    Pavel Winternitz

  5. Département de physique, Université de Montréal, Montréal, QC, Canada

    William Witczak-Krempa

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Lattanzi, A. (2021). How to Deal with Nonlocality and Pseudodifferential Operators. An Example: The Salpeter Equation. In: Paranjape, M.B., MacKenzie, R., Thomova, Z., Winternitz, P., Witczak-Krempa, W. (eds) Quantum Theory and Symmetries. CRM Series in Mathematical Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-55777-5_9

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