一维量子散射问题的“倒算法”  

A reverse algorithm for one- dimensional quantum scattering

作　　者：董键[1] 崔秀芝[1] 

机构地区：[1]曲阜师范大学物理工程学院,山东曲阜273165

出　　处：《大学物理》2014年第12期7-11,共5页College Physics

摘　　要：提出了一维量子散射数值计算的"倒算法",假定透射一侧只有透射波,从透射一侧向入射一侧按初值问题求解薛定谔方程,得到波函数的实部与虚部,进而求出入射一侧的概率密度函数,求出该函数的极大值和极小值,就可以算出透射率和反射率,使一维量子散射的计算简洁明了.用此法研究了散射过程中量子相位的变化,发现在透明点反射波相位有π的跃变.A reverse algorithm is presented for computation of one-dimensional quantum scattering. It is assumed that there is only the transmitted wave in transmission side. The Schroedinger equation is solved from the transmission side to the incident side according to the initial value problem, the real part and the imaginary part of the wave function, probability density function and then in the incident side, the maximum and minimum value of the function are obtained, the transmittance and reflectance arealso calculated simply. Variation of the quantum phase in scattering process is studied by using this method, an interesting phenomenon of π-jump＇ s in the reflection wave phase at transparent points is found.

关 键 词：量子散射 倒算法 量子相位 

分 类 号：O413.1[理学—理论物理]