Discrete-to-continuum transitions and mathematical generalizations in the classical harmonic oscillator
High Energy Physics - Theory
2007-05-23 v3
Abstract
Discrete interaction models for the classical harmonic oscillator are used for introducing new mathematical generalizations in the usual continuous formalism. The inverted harmonic potential and generalized discrete hyperbolic and trigonometric functions are defined.
Cite
@article{arxiv.hep-th/0305114,
title = {Discrete-to-continuum transitions and mathematical generalizations in the classical harmonic oscillator},
author = {Manoelito M. de Souza},
journal= {arXiv preprint arXiv:hep-th/0305114},
year = {2007}
}
Comments
14 pages. Typo. corrections