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2024 | OriginalPaper | Chapter

Lie Algebraic Method for Generating Certain Harmonic Oscillator-Like Functions

Author : Mohannad Shahwan

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

The chapter presents a Lie algebraic method for generating harmonic oscillator-like functions, building upon the theory of generalized Hermite polynomials (GHP). It applies Weiner’s group theoretic method to derive new generating relations, demonstrating the effectiveness of this approach in both theoretical and practical contexts. The study highlights the commutation relations and Lie differential operators essential for understanding these functions, and it concludes with applications that showcase the method’s versatility and potential for further research.

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Title: Lie Algebraic Method for Generating Certain Harmonic Oscillator-Like Functions
Author: Mohannad Shahwan
Publisher: Springer Nature Singapore
Book: Mathematical Analysis and Numerical Methods
Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-981-97-4876-1_5

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