المسألة الكوانتية لأربع جسيمات في بُعد واحد

Authors

  • علي محمود

Abstract

اخترنا في هذا البحث كمونات للتأثير المتبادل مناسبة (الكمون الصفري نصف القطر)، تسمح بتحديد مجال استخدام الطرق التقريبية التي تعكس الميزة الرئيسية على نحوٍ كامل لمسألة تشتت أربع بوزونات.

وكذلك قمنا بفصل المتحولات واستخدمنا مؤثر شرودنغر الفعال منوهين إلى عدم استثناء حالة اقتراب الجسيمات الأربع من بعضها على مسافات صغيرة بشكل كاف. تم دراسة الحالات المرتبطة وتشتت أربع بوزونات متطابقة فلاحظنا أن الكمون يتناقص بسرعة كافية، كما أن لتشتت S- النصيب الأكبر في قيمة المقطع العرضي للطاقات المنخفضة. ثم حلت مسألة التشتت هذه عندما تكون المسافة بين أي بوزونين كبيرة والطاقة للحركة النسبية صغيرة، أما في حالة  كبيرة فيمكن استخدام تقريب بورن في حل المسألة. ثم أوجدنا الحل عند الطاقات العالية للحركة النسبية.

We select in this research a suitable effect-exchanged potential (zero–range potential) that allowed us to define the range of approximately methods that reflect the main criteria of the full problem of scattering bosons.

The variables have been separated and used an effected Schrodinger value regarding not-excluding approximate state for the four-particles from each other for adequate distances.

We studied the related states and scattering the identical four-bosons. We note that the potential  decrease with a-none velocity. However s-scattering produce the bigger value in the low-energy cross-section. We solve the mentioned scattering problem when there is a big distance between any two bosons and the energy ε of the relative motion is small.

However, in case the energy ε is big, it is possible to use Born approximate to solve the problem. Finally we find the solution of ultra energy for the relative motion.

Downloads

Published

2018-12-06

How to Cite

1.
محمود ع. المسألة الكوانتية لأربع جسيمات في بُعد واحد. TUJ-BA [Internet]. 2018Dec.6 [cited 2025Apr.13];32(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5169

Issue

Vol. 32 No. 2 (2010): العلوم الأساسية

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.