The Harmonic Oscillator via the Discrete Path Approach
p. 141-153
Résumé
The discrete path approach has recently been use to obtain a closed form solution for two simultaneous difference equations with variable coefficients. We apply this result to the solution of the discretized harmonic oscillator and recover the well known traditional solutions. In the process we learn how the enumerative discrete path solution transforms into a more convenient compact analytic closed form. The discrete path approach is specially adapted to problems with mixed boundary conditions like those arising in the modeling of anticipatory systems.
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Référence papier
Adel F. Antippa et Daniel M. Dubois, « The Harmonic Oscillator via the Discrete Path Approach », CASYS, 11 | 2002, 141-153.
Référence électronique
Adel F. Antippa et Daniel M. Dubois, « The Harmonic Oscillator via the Discrete Path Approach », CASYS [En ligne], 11 | 2002, mis en ligne le 12 July 2024, consulté le 20 September 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=1471
Auteurs
Adel F. Antippa
Département de Physique, Université du Québec à Trois-Rivières, Trois-Rivières, Québec, Canada,G9A 5H7
Daniel M. Dubois
Centre for Hyperincursion and Anticipation in Ordered Systems, CHAOS asbl, Institut de Mathématique, B37, Université de Liège, Grande Traverse 12, B-4000 Liège 1, Belgique