2018/12/19 by R. R. S. Oliveira, A. A. Araujo Filho, Oliveira, R. R. S. +5 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Coulomb #Dirac (video compression format) #Eigenfunction #Eigenvalues and eigenvectors #Energy (signal processing) #Energy spectrum #FOS: Physical sciences #Function (biology) #High Energy Physics - Theory (hep-th) #Laguerre polynomials #Mathematical physics #Mathematics #Physics #Position (finance) #Projection (relational algebra) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum electrodynamics #Quantum mechanics #Terahertz technology and applications #Work (physics) #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1812.07756
published in arXiv (Cornell University) (Cornell University) · 9 pages
arxiv created 2018/12/19 · arxiv updated 2018/12/20
In this work, we study the Aharonov-Bohm-Coulomb (ABC) system for a\nrelativistic Dirac particle with position-dependent mass (PDM). To solve our\nsystem, we use the left-handed and right-handed projection operators. Next, we\nexplicitly obtain the eigenfunctions and the energy spectrum of the particle.\nWe verify that these eigenfunctions are written in terms of the generalized\nLaguerre polynomials and the energy spectrum depends on the parameters Z,\n\ΦAB and \κ. We notice that the parameter \κ has the\nfunction of increasing the values of the energy levels of the system. In\naddition, the usual ABC system is recovered when one considers the limit of\nconstant mass (\κ\→0). Moreover, also we note that even in the absence\nof ABC system (Z=\ΦAB=0), the particle with PDM still has a discrete\nenergy spectrum.\n