|
|
|
|
On the correspondence principle for the Klein-Gordon and Dirac Equations
|
|
|
|
|
|
|
|
نویسنده
|
g. hernandez kevin ,e. aguilar-gutierrez sergio ,bernalc jorge
|
|
منبع
|
journal of theoretical and applied physics - 2022 - دوره : 16 - شماره : 4 - صفحه:1 -6
|
|
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 ¯h constant, while particle in a box cases show a different structure for the quantum corrections.
|
|
کلیدواژه
|
Classical transition ,Quantum foundations ,Relativistic wave equations
|
|
آدرس
|
university of el salvador, department of physics, El Salvador, university of el salvador, department of physics, El Salvador. k.u. leuven, instituut voor theoretische fysica, Belgium, universidad ju´arez aut ´onoma de tabasco, divisi ´on acad´emica de ciencias b´asicas, M´exico
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|