Accuracy of semiclassical methods for shape-invariant potentials
Accuracy of semiclassical methods for shape-invariant potentials
复制标题
DOI：
10.1103/physreva.55.3345
复制
发表时间：
1996-11
影响因子：
2.9
通讯作者：
M. Hruska;W. Keung;U. Sukhatme
中科院分区：
文献类型：
--
作者：
M. Hruska;W. Keung;U. Sukhatme
我们通过解析计算许多大类别的精确可解的形状不变势的能级，研究了几种可选的半经典方法的准确性。对于这些势，通过WKB方法计算的基态能量通常与精确结果偏差约10%，最近提出的一种使用非积分马斯洛夫指数的修正方法要好得多，并且超对称WKB量化方法给出了所有能级的精确答案。{版权所有}{ital 1997} {ital美国物理学会}
We study the accuracy of several alternative semiclassical methods by computing analytically the energy levels for many large classes of exactly solvable shape-invariant potentials. For these potentials, the ground-state energies computed via the WKB method typically deviate from the exact results by about 10{percent}, a recently suggested modification, using nonintegral Maslov indices, is substantially better, and the supersymmetric WKB quantization method gives exact answers for all energy levels. {copyright} {ital 1997} {ital The American Physical Society}