کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1864007 1037697 2014 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
SU(1,1)SU(1,1) coherent states for Dirac–Kepler–Coulomb problem in D+1D+1 dimensions with scalar and vector potentials
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
SU(1,1)SU(1,1) coherent states for Dirac–Kepler–Coulomb problem in D+1D+1 dimensions with scalar and vector potentials
چکیده انگلیسی


• We solve the most general Dirac–Kepler–Coulomb problem.
• The eigenfunctions and energy spectrum are obtained in a purely algebraic way.
• We construct the radial SU(1,1)SU(1,1) coherent states for the Kepler–Coulomb problem.

We decouple the Dirac's radial equations in D+1D+1 dimensions with Coulomb-type scalar and vector potentials through appropriate transformations. We study each of these uncoupled second-order equations in an algebraic way by using an su(1,1)su(1,1) algebra realization. Based on the theory of irreducible representations, we find the energy spectrum and the radial eigenfunctions. We construct the Perelomov coherent states for the Sturmian basis, which is the basis for the unitary irreducible representation of the su(1,1)su(1,1) Lie algebra. The physical radial coherent states for our problem are obtained by applying the inverse original transformations to the Sturmian coherent states.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 378, Issue 40, 14 August 2014, Pages 2931–2937
نویسندگان
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