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Energy spectrum of a relativistic two-dimensional hydrogen-like atom in a constant magnetic field of arbitrary strength

2001/01/23 by V. M. Villalba, Vı́ctor M. Villalba, Ramiro Pino +1 · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1016/s1386-9477(01)00037-6

20 pages, Latex. To appear in Physica E

arxiv created 2001/01/23 · openalex publication_date 2001/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We compute, via a variational mixed-base method, the energy spectrum of a two dimensional relativistic atom in the presence of a constant magnetic field of arbitrary strength. The results are compared to those obtained in the non-relativistic and spinless case. We find that the relativistic spectrum does not present s states.

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