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Title: Solution of D dimensional Dirac equation for coulombic potential using NU method and its thermodynamics properties

The analytical solution of Ddimensional Dirac equation for Coulombic potential is investigated using Nikiforov-Uvarov method. The D dimensional relativistic energy spectra are obtained from relativistic energy eigenvalue equation by using Mat Lab software.The corresponding D dimensional radial wave functions are formulated in the form of generalized Jacobi and Laguerre Polynomials. In the non-relativistic limit, the relativistic energy equation reduces to the non-relativistic energy which will be applied to determine some thermodynamical properties of the system. The thermodynamical properties of the system are expressed in terms of error function and imaginary error function.
Authors:
; ; ;  [1]
  1. Physics Department, Faculty of Mathematics and Science, SebelasMaret University, Jl. Ir. Sutami 36A Kentingan Surakarta 57126 (Indonesia)
Publication Date:
OSTI Identifier:
22494608
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1710; Journal Issue: 1; Conference: NNS2015: 6. nanoscience and nanotechnology symposium, Surakarta (Indonesia), 4-5 Nov 2015; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; COMPUTER CODES; DIRAC EQUATION; EIGENVALUES; ENERGY SPECTRA; ERRORS; LAGUERRE POLYNOMIALS; POTENTIALS; RELATIVISTIC RANGE; THERMODYNAMICS