谐振子基在复标度方法中的应用

摘要

Application of the complex scaling method to the Schrdinge equation under using harmonic oscillator basis is showed.It is used to obtain highly accurate evaluation of the resonance energies for a well-established potential.The resonance energy eigenvalue distributions in the complex energy plane is also shown graphically,and the principle that the position of a resonance is stable against variation in all computational parameters is validated.%在利用薛定谔方程求解共振态能量的过程中,成功的将谐振子基应用于复标度方法,求解出共振态的能量公式,并以一个比较成熟的势作为检验势,得出比较精确的结果,也作出共振态能量在复能量坐标系中的能量分布.对其中的两个参数基数N和转动角θ进行讨论与分析,验证了共振态的一个原理:在对共振态的计算过程中,计算参数的改变不会影响共振态的位置.