Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential
Quantum Physics
2025-09-08 v1
Abstract
S-state Bound state solution to Schroedinger equation for an exponential potential is derived using the Mellin transform. This method is a new and an alternative to the usual method of reducing Schroedinegr equation to a Bessel differential equation. It involves solving a first order difference equation using iteration and induction.
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Cite
@article{arxiv.2509.04542,
title = {Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential},
author = {Rami Mehrem},
journal= {arXiv preprint arXiv:2509.04542},
year = {2025}
}
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5 pages