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Article
Quadratic Zeeman Effect for an s-electronMoving in a Screened Coulomb Potential

Author: H. A. Kassim
Journal: Iraqi Journal of Science المجلة العراقية للعلوم ISSN: 00672904/23121637 Year: 2007 Volume: 48 Issue: 1 Pages: 97-108
Publisher: Baghdad University جامعة بغداد

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Abstract

The s-level of a screened hydogenic atom in a uniform magnetic field of arbitrary strength B have been calculated accurately. First, the related spherical symmetric case has been treated by using the linear variational method. The trial wave function is taken as linear mixture of hydogenic and 3D harmonic ascillator wave functions of s-symmetry. Second, the actual nonspherical case is studied by adopting the correction proposed by Mustafa and Chhajlany (Phys. Rev.A,50,(I994),2926). The latter accounts for the difference between the two cases in an appaximate way by utilizing the properties of the 2D and 3D harmonic oscillators.
We start our study with the unsceened hydrogen case to recover their shifted results and deal then with the more involved case of the screened hydrogen atom covering wide ranges of the applied field and of the screening length.

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Article
Quadratic Zeeman Effect for an s-electron Moving in a Screened Coulomb Potential

Author: H.A.Kassim
Journal: Journal of Basrah Researches (Sciences) مجلة ابحاث البصرة ( العلميات) ISSN: 18172695 Year: 2007 Volume: 33 Issue: 4A Pages: 44-57
Publisher: Basrah University جامعة البصرة

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Abstract

The s-level of a screened hydogenic atom in a uniform magnetic field of arbitrary strength B have been calculated accurately. First, the related spherical symmetric case has been treated by using the linear variational method. The trial wave function is taken as linear mixture of hydogenic and 3D harmonic oscillator wave functions of s-symmetry.Second, the actual nonspherical case is studied by adopting the correction proposed by Mustafa and Chhajlany [14]. The latter accounts for the difference between the two cases in an approximate way by utilizing the properties of the 2D and 3D harmonic oscillators. We start our study with the unsceened hydrogen case to recover their shifted results and deal then with the more involved case of the screened hydrogen atom covering wide ranges of the applied field and of the screening length.

يتناول هذا البحث دراسة تأثير المجال المغناطيسي (تأثير زيمان التربيعي) القوي على طاقة المستوى الارضي لألكترون يتحرك في جهد كولوم المحجوب وذلك بألاستعانة بمبرهنة فيريال وتقريب تأثير الحد واستبداله بتأثير الحد باستخدام طريقة مصطفى وجالاني .

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