PreprintarXiv licencearXiv
The family of Tietz potentials
Abstract
We show that several potential-energy functions based on the exponential function e−αr, α> 0, are either equivalent or identical to the Tietz potential. Some of those potentials exhibit redundant parameters that can be removed without affecting their performance for the description of the vibration-rotation spectra of diatomic molecules.
Related
- A family of (1 + 1)-dimensional harmonic oscillators, subjected to nonlinear potentials, which can generate a quantized energy spectrum
- Double-well potentials and crucial estimations in nonlinear dynamics of microtubules
- Long-distance hybrid spin-dependent and hybrid-quarkonium mixing potentials from lattice gauge theory
- Partial Entropy production of active particles with hidden states in potentials
- Optimal Bias Potentials via Ergodic Optimal Control and Generator Learning
BibTeX
@misc{fernandez2026family,
title = {{The family of Tietz potentials}},
author = {Francisco M. Fernández},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28126},
eprint = {2610.28126},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28126},
}
RIS
TY - UNPB
TI - The family of Tietz potentials
AU - Francisco M. Fernández
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28126
UR - https://arxiv.org/abs/2610.28126
AB - We show that several potential-energy functions based on the exponential function e^−αr, α> 0, are either equivalent or identical to the Tietz potential. Some of those potentials exhibit redundant parameters that can be removed without affecting their performance for the description of the vibration-rotation spectra of diatomic molecules.
ER -