Alternative Solution of the Path Integral for the Radial Coulomb Problem
C.Grosche
TL;DR
This paper introduces a novel approach to solving the radial Coulomb problem using a two-dimensional singular Levi-Civita transformation within the path integral framework.
Contribution
It proposes an alternative path integral solution leveraging a singular Levi-Civita transformation, offering a new perspective on the radial Coulomb problem.
Findings
Provides a new method for the radial Coulomb problem
Demonstrates the effectiveness of the singular Levi-Civita transformation
Offers potential for further analytical developments
Abstract
In this Letter I present an alternative solution of the path integral for the radial Coulomb problem which is based on a two-dimensional singular version of the Levi-Civita transformation.
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