The Quantum Spectrum of the 2D Dirac Equation with a Coulomb Potential: Power Series Approach

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Abstract

The characteristics of the two-dimensional Dirac equation with a Coulomb potential, studied using a power series expansion method, were analyzed. The eigenfunctions, analytically obtained by the power series expansion method, were expressed by the confluent hypergeometric functions. The fine structures of the eigenvalues were also investigated. The angular momentum quantum number in two dimensions played the role of the good quantum number in three dimensions.

Original languageEnglish
Pages (from-to)161-165
Number of pages5
JournalPhysica Scripta
Volume69
Issue number3
DOIs
StatePublished - Mar 2004
Externally publishedYes

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