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

Pramana

Shun-Lin Shu¹  Mai-Lin Liang1¹  Bing Yuan¹ 

[1] Physics Department, School of Science, Tianjin University, Tianjin 300072, China$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown