STATIONARY SOLUTIONS OF THE NONLINEAR SCHR?DINGER EQUATION FOR NEUTRAL ATOMS IN A HARMONIC TRAP
简谐势阱中中性原子非线性薛定谔方程的定态解

We present a general method to solve the stationary nonlinear Schr?dinger equation (NLSE) with an external potential. We apply it to the stationary states of NLSE for neutral atoms in a harmonic trap. We discuss the problems of convergence and normalization of NLSE wave function. The accuracy of calculation is analyzed.