The supersymmetric WKB formalism is not exact for all additive shape invariant potentials

被引：6
作者：
Bougie, Jonathan [1 ]
Gangopadhyaya, Asim [1 ]
Rasinariu, Constantin [1 ]
机构：
[1] Loyola Univ, Dept Phys, Chicago, IL 60660 USA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2018年 / 51卷 / 37期
关键词：
supersymmetric quantum mechanics; semiclassical methods; SWKB; shape invariance; extended potentials; QUANTUM-MECHANICS; ORTHOGONAL POLYNOMIALS; SOLVABLE POTENTIALS; WAVE MECHANICS; APPROXIMATIONS; QUANTIZATION; SCHRODINGER; SPECTRA; ORDER;
D O I：
10.1088/1751-8121/aad3db
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Following the verification of the conjecture made by Comtet et al that the supersymmetry-inspired semiclassical method known as SWKB is exact for the conventional additive shape invariant potentials, it was widely believed that SWKB yields exact results for all additive shape invariant potentials. In this paper we present a concrete example of an additive shape invariant potential for which the SWKB method fails to produce exact results.
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页数：14
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