Related papers: Infinite series involving special functions obtained using simple one-dimensional quantum mechanical problems

Infinite series involving special functions obtained using simple one-dimensional quantum mechanical problems

URL: http://arxiv.org/abs/2411.10126v2
Date: Wed, 20 Nov 2024 11:13:00 GMT
Title: Infinite series involving special functions obtained using simple one-dimensional quantum mechanical problems
Authors: Sonja Gombar, Milica Rutonjski, Petar Mali, Slobodan Radošević, Milan Pantić, Milica Pavkov-Hrvojević,
Abstract summary: We analytically evaluate certain classes of infinite sums involving special functions such as generalized hypergeometric functions, associated Laguerres, Bessel and Struve functions. The calculations are founded on basic quantum mechanical principles applied to simple quantum mechanical models.
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Abstract: In this paper we analytically evaluate certain classes of infinite sums involving special functions such as generalized hypergeometric functions, associated Laguerre polynomials, Bessel and Struve functions. The calculations are founded on the basic quantum mechanical principles applied to simple quantum mechanical models, namely half harmonic oscillator and model of a particle trapped inside an infinite potential well. We also show that some classes of functions which are not regular wave functions allow evaluation of additional infinite sums.

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