Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential

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.

Publication Details

Journal
ArXiv.org
Published
2025-09-04
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential

ArXiv.org
Geochemistry and Geologic Mapping
article

Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential

article en

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.

ArXiv.org
Openalex Percentile: Top 48%
Geochemistry and Geologic Mapping
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Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential · ArXiv.org (2025) | TGRS Research Map | TGRS