دراسة تاثير جهود المصيدة على سلوك الدالة الموجية في تكثيف بوز اينشتاين == Study influence of the trapping potentials on the behavior of the wave function in Bose - Einstein condensation
Author name:
وليد حميد عبد المالكي
Supervisor name:
خالد محمد جياد الموسوي | خالد محمد جياد الموسوي
General topic:
Physics
Specific topic:
Physics
Degree:
Master
University:
University Of Basrah - College Of Science
Language:
Arabic
University location:
Basrah
First pages:
26T1695 - p.pdf
Abstract:
This dissertation have been studied and analyzed the wave function behavior under trapping potentials that are usually used in experiments which led to formed Bose - Einstein condensation in ultra cold gases. The wave function behavior is dealt with under the effect of three types of potentials : the Harmonic oscillator, the double well, and the Optical Lattice. These are used individually, overlapped together, and when two different kinds are shed on each other in an orthogonal form. Besides, factors and variables that have major or minor roles in potentials the distribution that determine the wave function behavior is discuss in this dissertation.And study parameter ???????? range of effect on the nature of the Harmonic oscillator trapping potential and the Wave Function distribution, this factor effect is studied under the effect of the Harmonic oscillator Trap. As well as, studying this parameter effect on the Wave function behavior under the effect of other three types of potential traps used in Bose - Einstein condensation which are : the Optical Lattice potential overlapped with the Harmonic oscillator potential, the Optical lattice potential orthogonally shed on the harmonic oscillator potential. Also, studied the wave function behavior under the effect of the double well potential when the range of distribution centre is ∓0.5 and when the distribution centre increases to ∓2.And also discussed the effect of the nonlinear G on the wave function behavior under the effect of the Harmonic potential in terms of value and distribution. Through studying under the effect of the Harmonic potential, it have noticed that there is a linear relation between the energy and the chemical voltage at the centre of the trap as well asbetween the wave function and Energy. Yet, the linear relation is not exist between Energy and the frequency rate ???????? as well as between the wave function and the chemical potential. While there is a nonlinear relation exist under the effect of the optical lattice potential overlapped with the Harmonic potential at the centre of trap as well as the relation is exist between the wave function and the energy at the centre of the trap. It is noticed that when the optical lattice potential orthogonally shed on the Harmonic potential a linear relation exists between the energy and the chemical potential with anisotropy value and this linear relation becomes more clear at high value of anisotropy while the wave function behavior increases exponentially with anisotropy values. Furthermore, we have studying the effect of Factor ???????? and Factor ???????? on the Wave Function behavior under the harmonic potential trap plus the optical lattice potential .
