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A new technique for one-dimensional scattering from dirac comb
Other Title(s)
طريقة جديدة لدراسة التشتت في بعد واحد من عدد من الحواجز الجهدية على شكل دالة ديراك
Joint Authors
Shabat, Muhammad Musa
Tayi, Sufyan A.
Source
IUG Journal of Natural Studies
Issue
Vol. 11, Issue 1 (31 Jan. 2003), pp.1-14, 14 p.
Publisher
The Islamic University-Gaza Deanship of Research and Graduate Affairs
Publication Date
2003-01-31
Country of Publication
Palestine (Gaza Strip)
No. of Pages
14
Main Subjects
Topics
Abstract AR
في هذا البحث نستخدم طريقة المصفوفات لدراسة نفاذ و انعكاس الموجات الكهرومغناطيسية من وسط متعدد الطبقات و كتابة معاملي الانعكاس و النفاذ باستخدام الدوال الأولية المتماثلة التي تستخدم في النظرية الرياضية لكثيرة الحدود و من الممكن تطبيق هذا الأسلوب على التشتت في ميكانيكا الكم, ثم نحاول أن نطبق هذا المنهج لدراسة الانعكاس و النفاذ من نظام متكون من عدد N من الحواجز الجهدية التي لها شكل دالة ديراك.
Abstract EN
Using the well-known matrix formulation of the reflection and transmission of electromagnetic waves by a stratified planner structure, we show that the reflection and transmission coefficients of any number of isotropic media can be written by a simple general formula.
This formula uses the so-called elementary symmetric functions that are extensively used in the mathematical theory of polynomials.
The approach is then applied to the quantum scattering.
We show that the reflection and transmission coefficients of any number of quantum wells or barriers can be written in the similar way.
Finally, one-dimensional scattering from a series of delta-function barriers (a system that is called Dirac Comb) is studied.
The computed numerical illustrations compared with the earlier results based on the transfer matrix and Chebychev polynomials reveal an excellent agreement.
American Psychological Association (APA)
Tayi, Sufyan A.& Shabat, Muhammad Musa. 2003. A new technique for one-dimensional scattering from dirac comb. IUG Journal of Natural Studies،Vol. 11, no. 1, pp.1-14.
https://search.emarefa.net/detail/BIM-162588
Modern Language Association (MLA)
Tayi, Sufyan A.& Shabat, Muhammad Musa. A new technique for one-dimensional scattering from dirac comb. IUG Journal of Natural Studies Vol. 11, no. 1 (Jan. 2003), pp.1-14.
https://search.emarefa.net/detail/BIM-162588
American Medical Association (AMA)
Tayi, Sufyan A.& Shabat, Muhammad Musa. A new technique for one-dimensional scattering from dirac comb. IUG Journal of Natural Studies. 2003. Vol. 11, no. 1, pp.1-14.
https://search.emarefa.net/detail/BIM-162588
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 14
Record ID
BIM-162588