A New Special Function with Applications to Quantum Mechanics

Authors

DOI:

https://doi.org/10.26713/cma.v14i5.1840

Keywords:

Sturm-Liouville differential equation, Bessel Function, Special Function, Laplace equation, Schrödinger equation

Abstract

In this paper, a special function using the particular Sturm-Liouville Equation is introduced. Sequences of recurrence relations are presented for that special function. Also, its series and definite integral representations are provided. This special function is a radial solution to the Laplace equation in the 5-dimensional hyperspherical coordinate system. It is also a solution to the 4-dimensional Radial Schrödinger equation. All results are verified numerically using different mathematical softwares.

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References

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Published

31-12-2023
CITATION

How to Cite

Chinchole, S. M. (2023). A New Special Function with Applications to Quantum Mechanics. Communications in Mathematics and Applications, 14(5), 1479–1492. https://doi.org/10.26713/cma.v14i5.1840

Issue

Vol. 14 No. 5 (2023)

Section

Research Article

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