CAJ | 학술논문

利用不变本征算符法推导出含时二维双耦合各向异性谐振子系统的简正坐标和对应的共轭动量,并对系统的哈密顿量进行退耦合,得到系统明显的简正频率解析解.在坐标表象中系统的严格波函数的正确性通过特殊情况下此波函数与文献结果的对比讨论中得到了印证.
이용불변본정산부법추도출함시이유쌍우합각향이성해진자계통적간정좌표화대응적공액동량,병대계통적합밀돈량진행퇴우합,득도계통명현적간정빈솔해석해.재좌표표상중계통적엄격파함수적정학성통과특수정황하차파함수여문헌결과적대비토론중득도료인증.
Abstract：In this paper, the normal coordinates and their corresponding conjugate momenta of the time-dependent dual-coupled two-dimensional anisotropic harmonic oscillators have been derived with invariant eigen-operator method. And the Hamiltonian of the system has been decoupled; and explicit analytic solutions of normal frequency in the system have been obtained. Compared with a specific example, the correctness of the exact wave function of the system in coordinate representation has been confLrmed.