The Harmonic Oscillator via the Discrete Path Approach
p. 141-153
Abstract
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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References
Bibliographical reference
Adel F. Antippa and Daniel M. Dubois, « The Harmonic Oscillator via the Discrete Path Approach », CASYS, 11 | 2002, 141-153.
Electronic reference
Adel F. Antippa and Daniel M. Dubois, « The Harmonic Oscillator via the Discrete Path Approach », CASYS [Online], 11 | 2002, Online since 12 July 2024, connection on 10 January 2025. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=1471
Authors
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