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Solution of the Spinless Salpeter Equation with a Time-Dependent Linear Potential

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Abstract

We derive the general solution of the semi-relativistic spinless Salpeter equation in the presence of a time-dependent linear potential via the Lewis–Riesenfeld framework and using two forms of the invariant. For comparison, we reobtain the solution in the momentum-space directly by applying a time-momentum transformation to the involved partial differential equation. We also investigate the classical-quantum correspondence for the model in the case of time-periodic force using a momentum-space Gaussian wave-packet.

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Authors and Affiliations

  1. Physics Department, College of Science and Arts at ArRass, Qassim University, PO Box 53, ArRass, 51921, Saudi Arabia

    Yassine Chargui, Anis Dhahbi & Lyazid Chetouani

  2. Physics Department, College of Science, King Faisal University, PO Box 380, Alahsa, 31982, Saudi Arabia

    Adel Trabelsi

  3. Université de Tunis El Manar, Faculté des Sciences de Tunis, Unité de Recherche de Physique Nucléaire et des Hautes Energies, 2092, Tunis, Tunisie

    Yassine Chargui & Anis Dhahbi

Authors
  1. Yassine Chargui
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  2. Anis Dhahbi
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  3. Lyazid Chetouani
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  4. Adel Trabelsi
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Correspondence to Yassine Chargui.

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Chargui, Y., Dhahbi, A., Chetouani, L. et al. Solution of the Spinless Salpeter Equation with a Time-Dependent Linear Potential. Few-Body Syst 55, 1233–1243 (2014). https://doi.org/10.1007/s00601-014-0911-6

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  • DOI: https://doi.org/10.1007/s00601-014-0911-6

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