• Quantum-classical correspondence of the Dirac equation with a scalar-like potential

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      https://www.ias.ac.in/article/fulltext/pram/072/05/0777-0785

    • Keywords

       

      Quantum-classical correspondence; scalar-like potential; Dirac equation; Klein–Gordon equation.

    • Abstract

       

      Quantum matrix elements of the coordinate, momentum and the velocity operator for a spin-1/2 particle moving in a scalar-like potential are calculated. In the large quantum number limit, these matrix elements give classical quantities for a relativistic system with a position-dependent mass. Meanwhile, the Klein–Gordon equation for the spin-0 particle is discussed too. Though the Heisenberg equations for both the spin-0 and spin-1/2 particles are unlike the classical equations of motion, they go to the classical equations in the classical limit.

    • Author Affiliations

       

      Mai-Lin Liang1 Shun-Lin Shu1 Bing Yuan1

      1. Physics Department, School of Science, Tianjin University, Tianjin 300072, China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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