Isotropic harmonic oscillator plus inverse quadratic potential in N-dimensional spaces
Joint Authors
Oyewumi, Kayode John
Bangudu, Ezekiel Adeniyi
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 28, Issue 2A (31 Jul. 2003), pp.173-182, 10 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2003-07-31
Country of Publication
Saudi Arabia
No. of Pages
10
Main Subjects
Topics
Abstract AR
سوف نتعرض في هذا البحث إلى جهد (N-dimensional) توافقي تماثلي مضافا إليه مربع عكسي.
و قد قمنا بحل المعادلة بحل المعادلة الفوقطرية لهذا الجهد بتحويلها إلى معادلة "فوزاوية" رافدة, و ذلك للحصول على حلول فوقطرية مقننة.
و تشكل هذه الحلول مع الحلول فوزاوية (توافقية فوكروية) اقترانات كاملة لطاقة الهزازات التوافقية التماثلية (N-dimensional) المضاف إليها مربع عكسي, كما أن هذه الحلول لا تعتمد على عدد الإحداثيات.
و سوف نناقش في هذا البحث أيضا اعتماد الحلول القطرية على عدد الإحداثيات, و عامل الجهد, و مستويات الطاقة.
Abstract EN
Some aspects of the N-dimensional isotropic harmonic plus inverse quadratic potential are discussed.
The hyperradial equation for isotropic harmonic oscillator plus inverse quadratic potential is solved by transformation into the confluent hypergeometric equation to obtain the normalized hyperradial solution.
Together with the hyperangular solutions (hyperspherical harmonics), these form the complete energy eigenfunctions of the N-dimensional isotropic harmonic oscillator plus inverse quadratic potential and the energy eigenvalues are also obtained.
These are dimensionally dependent.
The dependence of the radial solution on the dimensions or the potential strength and the degeneracy of the energy levels are discussed
American Psychological Association (APA)
Oyewumi, Kayode John& Bangudu, Ezekiel Adeniyi. 2003. Isotropic harmonic oscillator plus inverse quadratic potential in N-dimensional spaces. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 28, no. 2A, pp.173-182.
https://search.emarefa.net/detail/BIM-359889
Modern Language Association (MLA)
Oyewumi, Kayode John& Bangudu, Ezekiel Adeniyi. Isotropic harmonic oscillator plus inverse quadratic potential in N-dimensional spaces. The Arabian Journal for Science and Engineering. Section A, Science Vol. 28, no. 2A (Jul. 2003), pp.173-182.
https://search.emarefa.net/detail/BIM-359889
American Medical Association (AMA)
Oyewumi, Kayode John& Bangudu, Ezekiel Adeniyi. Isotropic harmonic oscillator plus inverse quadratic potential in N-dimensional spaces. The Arabian Journal for Science and Engineering. Section A, Science. 2003. Vol. 28, no. 2A, pp.173-182.
https://search.emarefa.net/detail/BIM-359889
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 181-182
Record ID
BIM-359889
