A Distributional Approach for the One-Dimensional Hydrogen Atom
We consider the one-dimensional Hydrogen atom, with the Coulomb interaction V(x)=γ|x| (γ < 0), and use Schwartz's theory of distributions to address the non-integrable singularity at the origin. This singularity renders the interaction term V(x)ψ(x) in the Schrödinger's equation, wh...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2019-07-01
|
| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2019.00101/full |