An analysis of the exactly solvable linear differential equations by the Modified Airy MAF) method

作者：Deniz Coskun^*; Gerceklioglu Murat

来源：Indian Journal of Physics and Proceedings of the Indian Association for the Cultivation of Science, 2011, 85(2): 339-357.

DOI：10.1007/s12648-011-0010-1

• WKB approximation
• Modified Airy Functions
• Semiclassical solution of the Schrodinger equations
• Optical wave Guides

Appropriate second order Linear Differential Equations (LDEs) which can be solved exactly by the Modified Airy MAF) method, which normally gives approximate solutions in terms of Airy functions for Schrodinger-like LDEs, have been studied in three possible cases according to the MAF theory. The results of the exactly solvable LDEs have been classified in terms of two different family of LDEs with turning point and/or singular point parameter, one of which being a new class other than the known Time Independent Schrodinger's Equation (TISE) with a linear potential.

• 出版日期2011-2