A Study Of Some Properties Of Bose-Einstein Condensation At Temperatures Near The Absolute Zero Using Perturbative Solutions Of The Stationary Gross-Pitaevskii Equation / (Record no. 172605)
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| fixed length control field | 04500namaa22004211i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - أخر تعامل مع التسجيلة | |
| control field | 20250710123103.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250617s2024 ua a|||frm||| 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloguing agency | EG-GICUC |
| Language of cataloging | eng |
| Transcribing agency | EG-GICUC |
| Modifying agency | EG-GICUC |
| Description conventions | rda |
| 041 0# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| Language code of summary or abstract | eng |
| -- | ara |
| 049 ## - Acquisition Source | |
| Acquisition Source | Deposit |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.133 |
| 092 ## - LOCALLY ASSIGNED DEWEY CALL NUMBER (OCLC) | |
| Classification number | 530.133 |
| Edition number | 21 |
| 097 ## - Degree | |
| Degree | M.Sc |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Local Call Number | Cai01.12.20.M.Sc.2024.Ha.S. |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Authority record control number or standard number | Hala Hussein Lotfy Alsayad, |
| Preparation | preparation. |
| 245 12 - TITLE STATEMENT | |
| Title | A Study Of Some Properties Of Bose-Einstein Condensation At Temperatures Near The Absolute Zero Using Perturbative Solutions Of The Stationary Gross-Pitaevskii Equation / |
| Statement of responsibility, etc. | By Hala Hussein Lotfy Alsayad; Supervisors Prof. Dr. Tharwat Mahmoud El-Sherbini, Dr. Ashraf Ali Abulseoud. |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | دراسة بعض خصائص تكثيف بوز-اينشتاين عند درجات حرارة بالقرب من الصفر المطلق باستخدام الحلول المضطربة لمعادلة جروس-بيتايفسكي الغير معتمدة على الزمن |
| 264 #0 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | 2024. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 108 pages : |
| Other physical details | illustrations ; |
| Dimensions | 25 cm. + |
| Accompanying material | CD. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rda content |
| 337 ## - MEDIA TYPE | |
| Media type term | Unmediated |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | volume |
| Source | rdacarrier |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (M.Sc.) -Cairo University, 2024. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Bibliography: pages 103-108. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | In this thesis we study some physical properties of Bose-Einstein condensates near the absolute zero in a one dimensional harmonic trap, in a two dimensional trap with cylindrical symmetry and in a three dimensional trap with spherical symmetry. We develop approximate expressions for the physical properties: the particle density, the chemical potential, the internal energy and the mean-square radius of the condensate using perturbation theory. This is achieved by using a perturbative solution of the Gross-Pitaevskii(GP) equation in the D-dimensional space RD with a general continuous non-negative external potential. The solution describes the condensate wave-function of a gas containing N Bose particles. We develop a criteria for the validity of the perturbative solution and then compare the results with the numerical solutions and show that if the number of particles in the condensate exceeds a certain value the perturbative solution breaks down. This determines the range of applicability of the mathematical expressions for the description of the physical properties of the condensate.<br/><br/> |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | في هذه الأطروحة قمنا بدراسة بعض العوامل الفيزيائية لمكثفات بوز- آينشتاين بالقرب من الصفر المطلق في مصيدة توافقية: أحادية البعد، في مصيدة ثنائية الأبعاد ذات تماثل أسطواني وفي مصيدة ثلاثية الأبعاد ذات تماثل كروي. قمنا بتطوير تعبيرات رياضية تقريبية للعوامل الفيزيائية: كثافة الجسيمات، والجهد الكيميائي، والطاقة الداخلية، ومتوسط نصف قطر المكثفات باستخدام نظرية الاضطراب. يتم تحقيق ذلك باستخدام حل مضطرب لمعادلة جروس- بيتايفسكي (Gross-Pitaevskii) في الفراغ مع جهود عامة خارجية متصلة غير سلبية. الحل يصف الدالة الموجية لمكثف غاز يحتوي على N من جسيمات بوز. قمنا بوضع معيار صلاحية للحلول المضطربة ومن ثم مقارنة النتائج مع الحلول العددية وتبين أنه إذا زاد عدد الجزيئات في المكثف عن قيمة معينة فإن الحلول المضطربة تنهار وهذا يحدد مدى صلاحية التعبيرات الرياضية في وصف العوامل الفيزيائية للمكثفات. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Issues CD | Issued also as CD |
| 546 ## - LANGUAGE NOTE | |
| Text Language | Text in English and abstract in Arabic & English. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Statistics Bose-Einstein |
| 653 #0 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Perturbative expansion |
| -- | Bose-Einstein condensation |
| -- | Gross-Pitaevskii equation |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tharwat Mahmoud El-Sherbini |
| Relator term | thesis advisor. |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ashraf Ali Abulseoud |
| Relator term | thesis advisor. |
| 900 ## - Thesis Information | |
| Grant date | 01-01-2024 |
| Supervisory body | Tharwat Mahmoud El-Sherbini |
| -- | Ashraf Ali Abulseoud |
| Universities | Cairo University |
| Faculties | Faculty of Science |
| Department | Department of Theoretical Physics |
| 905 ## - Cataloger and Reviser Names | |
| Cataloger Name | Eman El gebaly |
| Reviser Names | Eman Ghareb |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Thesis |
| Edition | 21 |
| Suppress in OPAC | No |
| Source of classification or shelving scheme | Home library | Current library | Date acquired | Inventory number | Full call number | Barcode | Date last seen | Effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 17.06.2025 | 91508 | Cai01.12.20.M.Sc.2024.Ha.S. | 01010110091508000 | 17.06.2025 | 17.06.2025 | Thesis |