TY - EJOUR
AU - Hernandez, Kevin G.
AU - Aguilar-Gutierrez, Sergio E.
AU - Bernalc, Jorge
PY - 2023
DA - November
TI - On the correspondence principle for the Klein-Gordon and Dirac Equations
T2 - Journal of Theoretical and Applied Physics
VL - 16
L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/on-the-correspondence-principle-for-the-klein-gordon-and-dirac-equations/
DO - 10.30495/JTAP.162244
N2 - We investigate the asymptotic behavior of the solutions to the Klein-Gordon and Dirac equations using the local spatial averaging approach to Bohr’s correspondence principle in the large principal quantum number regime. The procedure is applied in two basic problems in $1+1$-dimensions, the relativistic quantum oscillator and the relativistic particle in a box. In the harmonic oscillator cases, we find that the corresponding probability densities reduce to their respective classical single-particle distributions plus a series of terms suppressed by powers of the $hbar$ constant, while particle in a box cases show a different structure for the quantum corrections.
IS - 4
PB - OICC Press
KW - Relativistic wave equations, Classical transition, Quantum foundations 
EN -