2020/05/31 by Ignacio S. Gomez, Esdras S. Santos, Olavo Abla · 4 citations
Mathematics · Physics and Astronomy · #Angular momentum #Dirac (video compression format) #Dirac equation #Generalization #Momentum (technical analysis) #Morse code #Morse potential #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Statistical Mechanics and Entropy #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1142/s0217732321501406
published in Modern Physics Letters A 36(20), 2150140 (World Scientific)
arxiv created 2020/08/07 · openalex created_date 2020/08/13 · openalex publication_date 2021/06/28 · arxiv updated 2021/07/21 · openalex updated_date 2026/08/05
In this work, we explore a generalization of the Dirac and Klein–Gordon (KG) oscillators, provided with a deformed linear momentum inspired in nonextensive statistics, that gives place to the Morse potential in relativistic contexts by first principles. In the (1 + 1)-dimensional case, the relativistic oscillators are mapped into the quantum Morse potential. Using the Pekeris approximation, in the (3 + 1)-dimensional case, we study the thermodynamics of the S-waves states (l = 0) of the H 2 , LiH, HCl and CO molecules (in the non-relativistic limit) and of a relativistic electron, where Schottky anomalies (due to the finiteness of the Morse spectrum) and spin contributions to the heat capacity are reported. By revisiting a generalized Pekeris approximation, we provide a mapping from (3 + 1)-dimensional Dirac and KG equations with a spherical potential to an associated one-dimensional Schrödinger-like equation, and we obtain the family of potentials for which this mapping corresponds to a Schrödinger equation with non-minimal coupling.