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

2003/05/13 by Manoelito M. de Souza, de Souza, Manoelito M.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0305114

14 pages. Typo. corrections

arxiv created 2003/09/22 · arxiv updated 2009/11/30

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.

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