Dirac particle in a square well and in a box - Quantum PhysicsReport as inadecuate




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Abstract: We obtain an exact solution of the 1D Dirac equation for a square wellpotential of depth greater then twice the particle-s mass. The energy spectrumformula in the Klein zone is surprisingly very simple and independent of thedepth of the well. This implies that the same solution is also valid for thepotential box infinitely deep well. In the nonrelativistic limit, thewell-known energy spectrum of a particle in a box is obtained. We also providein tabular form the elements of the complete solution space of the problem forall energies.



Author: A. D. Alhaidari

Source: https://arxiv.org/







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