Casimirlike Effect in BoseEinstein Condensation 

Author  LiuXiaoLi 
Tutor  ZhengTaiYu 
School  Northeast Normal University 
Course  Theoretical Physics 
Keywords  Casimir effect Casimirlike force BoseEinstein Condensation 
CLC  O413.2 
Type  Master's thesis 
Year  2007 
Downloads  91 
Quotes  0 
Casimir first predicted that, in the electromagnetic vacuum, there is an attractive force due to zeropoint quantum fluctuations between two closely perfect conductive plates. This force is called Casimir force and its value is.Since it was predicted in 1948, the Casimir effect has played an important role in the physics field. It is an interdisciplinary subject. It plays an important role in a variety of fields of physics such as Quantum Electrodynamics, Condensed Matter Physics, Atomic and Molecular Physics, Gravitation and Cosmology, and Mathematical Physics. In 1924, Bose and Einstein predicted that if the de Broglie wavelength larger than the average wavelength between the particles, there will be a phase transition. A number of particles will occupy the groundstate and this transition is called BoseEinstein Condensation (BEC). It is one of the greatest scientific findings in the 21st century. At present, there is about more than 30 labs have realized the BEC.In the paper, I review the present research and experiment progress of the Casimir effect and BoseEinstein Condensation briefly. On the foundation of other researchers’work, I further study the Casimirlike effect of absolute zerotemperature dilute BoseEinstein Condensation. I obtain a precise expression of the Casimirlike force, then calculate and discuss it. We not only obtain others’ findings, namely the influence of linear part of the Bogoliubov dispersion relation on the Casimirlike force, but aslo calculate the influence of nonlinear part. It indicates that the influence of linear part is more important than the nonlinear part. In the calculaton, we do not introduce any ultraviolet cutoff parameter or function, and solve the limited analysis expression. It not only provides a new calculation method to research the Casimir force, but also provides a theory proof for measurement of the Casimirlike force.