Asymptotics with respect to the spectral parameter and Neumann series of Bessel functions for solutions of the one-dimensional Schrödinger equation
DOI10.1063/1.4989637zbMath1377.81043arXiv1706.09457OpenAlexW3098467160MaRDI QIDQ4600227
Vladislav V. Kravchenko, Sergii M. Torba
Publication date: 8 January 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.09457
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)
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