@article{Hernandez_Aguilar-Gutierrez_Bernalc_2023, title={On the correspondence principle for the Klein-Gordon and Dirac Equations}, volume={16}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/on-the-correspondence-principle-for-the-klein-gordon-and-dirac-equations/}, DOI={10.30495/JTAP.162244}, abstractNote={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.}, number={4}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, author={Hernandez, Kevin G. and Aguilar-Gutierrez, Sergio E. and Bernalc, Jorge}, year={2023}, month={Nov.}, keywords={Classical transition, Quantum foundations, Relativistic wave equations} }