Volume 10, Number 4 (Iranian Journal of Physics Research, Winter 2011)                   IJPR 2011, 10(4): 309-316 | Back to browse issues page

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Barezi M, Nikbakht T. Investigation of confined hydrogen atom in spherical cavity, using B-splines basis set. IJPR. 2011; 10 (4) :309-316
URL: http://ijpr.iut.ac.ir/article-1-595-en.html

Isfahan University of Technology , barezi@cc.iut.ac.ir
Abstract:   (11424 Views)
Studying confined quantum systems (CQS) is very important in nano technology. One of the basic CQS is a hydrogen atom confined in spherical cavity. In this article, eigenenergies and eigenfunctions of hydrogen atom in spherical cavity are calculated, using linear variational method. B-splines are used as basis functions, which can easily construct the trial wave functions with appropriate boundary conditions. The main characteristics of B-spline are its high localization and its flexibility. Besides, these functions have numerical stability and are able to spend high volume of calculation with good accuracy. The energy levels as function of cavity radius are analyzed. To check the validity and efficiency of the proposed method, extensive convergence test of eigenenergies in different cavity sizes has been carried out.
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Type of Study: Research | Subject: general

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