Comment on "New analytic solution of Schr\"odinger's equation"
Alexander Moroz
TL;DR
This paper critically evaluates an improved JWKB method for solving Schrödinger's equation, clarifying its conclusions, assessing its accuracy against exact solutions, and comparing it with the method of comparison equations.
Contribution
It provides a detailed clarification and quantitative assessment of the improved JWKB method and contrasts it with the method of comparison equations.
Findings
The improved JWKB method's approximation accuracy is quantitatively assessed.
Clarifications are provided on the conclusions of the improved JWKB method.
The improved JWKB method is contrasted with the method of comparison equations.
Abstract
Some of the conclusions of an improved JWKB method by Eleuch H., Rostovtsev Y. V. and Scully M. O., EPL, 89 (2010) 50004 are clarified. The degree of approximation to exact solutions is quantitatively assessed. The improved JWKB method is also contrasted with the method of comparison equations.
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Taxonomy
TopicsNuclear reactor physics and engineering · Matrix Theory and Algorithms · Numerical methods for differential equations