ar X iv : c on d - m at / 9 50 71 34 v 1 3 1 Ju l 1 99 5 Variational approach to the dilute Bose gas
نویسندگان
چکیده
We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate mean-field description of the dilute Bose gas. Using spin-polarized atomic hydrogen as a specific example, we obtain an improved description of the Bose-Einstein condensed phase in three dimensions and a signature of a phase transition in two dimensions. The latter cannot be found by straightforward application of perturbation theory around the ideal Bose gas.
منابع مشابه
ar X iv : c on d - m at / 9 50 80 62 v 1 3 1 Ju l 1 99 5 QUANTUM THEORY OF LARGE SYSTEMS OF NON - RELATIVISTIC MATTER
متن کامل
ar X iv : c on d - m at / 9 90 31 09 v 1 5 M ar 1 99 9 Experiments in Dilute Atomic Bose - Einstein Conden - sation
1. – Introduction 1. 1. Why BEC?. – In the month we began writing this paper, fourteen papers on the explicit topic of Bose-Einstein condensation (BEC) in a dilute gas appeared in the pages of Physical Review. Both theoretical and experimental activity in BEC has expanded dramatically in the three years since the first observation of BEC in a dilute atomic gas. One is tempted to ask, why? Why i...
متن کاملar X iv : c on d - m at / 9 71 10 36 v 1 5 N ov 1 99 7 Hydrodynamic damping in trapped Bose gases
Griffin, Wu and Stringari have derived the hydrodynamic equations of a trapped dilute Bose gas above the Bose-Einstein transition temperature. We give the extension which includes hydrodynamic damping, following the classic work of Uehling and Uhlenbeck based on the Chapman-Enskog procedure. Our final result is a closed equation for the velocity fluctuations δv which includes the hydrodynamic d...
متن کاملar X iv : c on d - m at / 9 70 50 47 06 M ay 1 99 7 Far From Equilibrium Dynamics of the Bose Gas
متن کامل
ar X iv : c on d - m at / 9 71 10 36 v 2 5 D ec 1 99 7 Hydrodynamic damping in trapped Bose gases
Griffin, Wu and Stringari have derived the hydrodynamic equations of a trapped dilute Bose gas above the Bose-Einstein transition temperature. We give the extension which includes hydrodynamic damping, following the classic work of Uehling and Uhlenbeck based on the Chapman-Enskog procedure. Our final result is a closed equation for the velocity fluctuations δv which includes the hydrodynamic d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1995