Reciprocal Symmetry and Classical Discrete Oscillator Incorporating Half-Integral Energy Levels

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dc.creatorAhmad, Mushfiq
dc.date2007-04-02
dc.date.accessioned2026-07-07T07:54:22Z
dc.date.available2026-07-07T07:54:22Z
dc.descriptionClassical oscillator differential equation is replaced by the corresponding (finite time) difference equation. The equation is, then, symmetrized so that it remains invariant under the change d going to -d, where d is the smallest span of time. This symmetric equation has solutions, which come in reciprocally related pairs. One member of a pair agrees with the classical solution and the other is an oscillating solution and does not converge to a limit as d goes to 0. This solution contributes to oscillator energy a term which is a multiple of half-integers.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0704.0153
dc.identifierhttp://arxiv.org/abs/0704.0153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126579
dc.subjectGeneral Physics
dc.titleReciprocal Symmetry and Classical Discrete Oscillator Incorporating Half-Integral Energy Levels
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