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The Three-Body Coulomb Potential Polynomials
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نویسنده
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Kartono Agus ,Mamat Mustafa
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منبع
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malaysian journal of mathematical sciences - 2010 - دوره : 4 - شماره : 1 - صفحه:31 -52
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چکیده
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In this paper, we present a general analysis of the three-body coulomb potential polynomials. we show why the three-body coulomb wave functions expansion in a non-orthogonal laguerre-type function basis gives two modified pollaczek polynomials. the frozen-core model is used to examine the three-body coulomb hamiltonian. the resulting three-term recurrence relation is a special case of the pollaczek polynomials which is a set of orthogonal polynomials having a nonempty continuous spectrum in addition to an infinite discrete spectrum. the completeness of the three-body coulomb wave functions is further studied for different laguerre basis size.
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کلیدواژه
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three-body Coulomb ,non-orthogonal Laguerre ,Pollaczek polynomial ,frozen-core model
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آدرس
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Institut Pertanian Bogor, Faculty of Mathematical and Natural Sciences, Laboratory for Theoretical and Computational Physics,Department of Physics, Indonesia, Universiti Malaysia Terengganu, Faculty of Sciences and Technology, Department of Mathematics, Malaysia
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پست الکترونیکی
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mus@umt.edu.my
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Authors
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