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The lattice green’s function for the square lattice
Other Title(s)
دالة غرين لشبكية مربعة الشكل
Author
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 28, Issue 2 (31 Aug. 2013), pp.61-68, 8 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2013-08-31
Country of Publication
Jordan
No. of Pages
8
Main Subjects
Topics
Abstract AR
تم تقديم صيغ مرجعية بسيطة تربط دالة غرين الشبكية مع المشتقة الأولى نسبة إلى t لشبيكة مربعة الشكل.
و تم الحصول على صيغ متراصة لدالة غرين لشبيكة مربعة عند المواقع التالية (t, 3, 0) G and (t, 2, 0) G في الفترة – 2 < t < 2 و التي تحتوي على مجموع الدوال التكامل الناقصي من النوع الأول و الثاني.
تم الحصول على معادلات تفاضلية لكل من (t, 1, 0) G (t, 3, 0) G and (t, 2, 0) G.
Abstract EN
A simple recurrence relation connecting the lattice Green's function G(l,m) and the first derivatives with respect to t of the lattice Green's function G(l±1,m), is presented for the square lattice.
An expressions for the lattice Green’s function of the square lattice at sites G(t,1,0), G(t,2,0) and G(t,3,0) are obtained in closed forms in the interval -2 < t < 2, which contain a sum of the complete elliptic integrals of the first and the second kind.
Differential equations for G(t,0,0) , G(t,1,0) and G(t,1,1) are obtained.
American Psychological Association (APA)
Jaradat, Umar Khalid. 2013. The lattice green’s function for the square lattice. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 28, no. 2, pp.61-68.
https://search.emarefa.net/detail/BIM-348872
Modern Language Association (MLA)
Jaradat, Umar Khalid. The lattice green’s function for the square lattice. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 28, no. 2 (2013), pp.61-68.
https://search.emarefa.net/detail/BIM-348872
American Medical Association (AMA)
Jaradat, Umar Khalid. The lattice green’s function for the square lattice. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2013. Vol. 28, no. 2, pp.61-68.
https://search.emarefa.net/detail/BIM-348872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 68
Record ID
BIM-348872