标题： 在近似二次量子化方法中的阱中弱相互作用玻色子 显示英文标题

标题： Weakly-Interacting Bosons in a Trap within Approximate Second Quantization Approach

摘要： 玻利亚科夫理论被推广到弱相互作用玻色气体在谐振陷阱中的情况。 得到了一组非线性矩阵方程，以实现哈密顿量的对角化。 利用其微扰解计算了模型系统的能量和凝聚分数，以证明该方法的适用性。 显示英文摘要

摘要： The theory of Bogoliubov is generalized for the case of a weakly-interacting Bose-gas in harmonic trap. A set of nonlinear matrix equations is obtained to make the diagonalization of Hamiltonian possible. Its perturbative solution is used for the calculation of the energy and the condensate fraction of the model system to show the applicability of the method.