تم في هذا البحث استنتاج معادلة غروس- بيتاإيفسكي أخذين بالحسبان كمون تفاعل ثنائي و ثلاثي الأجسام معا، و مقارنة النتائج مع الحالة التي نكتفي بها بكمون تفاعل ثنائي الأجسام فقط. و من ثم قمنا بحساب تواترات الاثارة الأولية لمتكثف بوز اينشتاين بوجود كمون تفاعل ثلاثة أجسام.
In this researchthe Gross - Pitaevskii equationhas been concluded taking in to consideration
tow and three body interaction potential. The results were compared to
thesta-te in which the twobody interaction has been accepted. Thenelementary
excitementfrequencies have been calculated of Bose Einstein condensation in the presence
of three body interaction.
References used
WOLFGANG KETTERLE.Nobel lecture, When atoms behave as waves, Bose Einsteincondensation and the atom laser. Reviews of Modern PhysicsUSA, vol74,2002,1131-1151
KEITHBURNETT. MARK EDWARDS . CHARLES W. CLARK, The Theory OfBose Einstein Condensation of Dilute Gases. Physics Today USA,vol 52,1999, 37-42
J. ROGEL-SALAZAR, The Gross-Pitaevskii Equation and Bose-Einstein condensates.Eur. J. Phys,vol 1,2013,1-13
In this research, the basic equation which describe the evaluation of
population and phase during the time for Boson-Josephson Junction has
been concluded in to consider two and three body interaction potential.
Then josephson frequencies have been calculated of BJJ in the presence
of three body interaction.
The study development of diffusion flame has special importance in applications and industrial burners.
For achieving this aim, a diffusion burner was manufactured from Steel metal and three models of bluffbodies
were prepared with different engineering shapes: Diverge inside outside bluff-body, Rods bluff
body, and Combined bluff-body.
In addition, designing and building of integrated experimental system with group of control systems for
supply fuel and air flow are described. On the other hand we prepared system of Schieren Photography
and measured length of Diffusion Recirculation flame and obtained good results in field of reaction and
diffusion through analyzing Schieren Photography for flame front. The obtained results (Hvorticity =54
mm and Wvorticity= 52.5 mm) result widened stability range of flame front.
Effect of vorticity and diffusion was studied of soot free length fraction (SFLF) and considered as an
important parameter in industrial applications for burners, leading to reductions in pollution and
poisonous gas emission. The results (SFLF=0.2) are achieved for the first time in comparison to results of
literature review.
An attempt has been made to present a brief historical highlight of the role
that mathematics played in the advancement of computer science, and the role
of the latter in the enrichment of mathematical sciences and the solution of
well-known problems that posed a challenge for centuries. This interaction has
been a motive that contributed to the advancement of both branches of
knowledge.
This study compared the durability of a cast metal wedge restoration, a cast metal endocrown restoration, and a method of constructing a composite resin core without a root wedge when applying 45-degree inclined compressive forces using a mechanical testing device.
This paper deals with electromagnetic(EM) interaction in anisotropic medium which is characterized by spatial different permitivity in (x,y,z)coordinates. The EM-analysis is a modern method in micro- and nano-scopic technology.
This interaction wa