paper

Discrete-to-continuum transitions and mathematical generalizations in the classical harmonic oscillator

arXiv:hep-th/0305114

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.

14 pages. Typo. corrections

Discrete-to-continuum transitions and mathematical generalizations in the classical harmonic oscillator · wovepaper