• Shun-Lin Shu

      Articles written in Pramana – Journal of Physics

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

      Mai-Lin Liang Shun-Lin Shu Bing Yuan

      More Details Abstract Fulltext PDF

      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.

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