CAJ | 학술논문

采用辛-打靶法求解了简谐势阱中碱金属玻色-爱因斯坦凝聚原子在T=0时的基态波函数,检验了波函数的稳定性,并研究了当简谐势阱突然改变时波函数随时间演化的动力学.
채용신-타파법구해료간해세정중감금속파색-애인사탄응취원자재T=0시적기태파함수,검험료파함수적은정성,병연구료당간해세정돌연개변시파함수수시간연화적동역학.
The ground state wavefunctions of dilute Bose-condensed atoms in a harmonic trap at T = 0 are evaluated by a symplectic shooting method. Stability of the wavefunctions is tested, and a stable wavefunction is used as the initial input of the time-dependent Gross-Pitaevskii equation. The dynamic property of stable wavefunctions is numerically examined in two phase spaces when the harmonic potential is altered suddenly. The figures in the two phase spaces are regular even after a long time of interations. For negative nonlinear coefficients, two eigenvalues related to the same negative nonlinear coefficient are calculated, and the stability of the corresponding two wavefunctions is tested.