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On the correspondence principle for the Klein-Gordon and Dirac Equations | ||
Journal of Theoretical and Applied Physics | ||
مقاله 13، دوره 16، شماره 4، اسفند 2022، صفحه 1-6 اصل مقاله (200.5 K) | ||
نوع مقاله: Scientific Research Manuscript | ||
شناسه دیجیتال (DOI): 10.30495/jtap.162244 | ||
نویسندگان | ||
Kevin Giovanni Hernandez ![]() ![]() ![]() ![]() | ||
1Department of Physics, University of El Salvador, Ciudad Universitaria, San Salvador, El Salvador | ||
2Instituut voor Theoretische Fysica, K.U. Leuven, Leuven, Belgium | ||
3División Académica De Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, Cunduacán, Tabasco, México | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Classical transition؛ Quantum foundations؛ Relativistic wave equations | ||
آمار تعداد مشاهده مقاله: 292 تعداد دریافت فایل اصل مقاله: 26 |