2000/05/06 by Goran S. Djordjevic, G. S. Djordjević, Branko Dragovich +1
Mathematics · Medicine · Pharmacology, Toxicology and Pharmaceutics · Physics and Astronomy · #Biofield Effects and Biophysics #Chemical Reactions and Isotopes #Coherent states #Formalism (music) #Harmonic oscillator #Propagator #Quantum #Quantum dynamics #Quantum harmonic oscillator #Simple harmonic motion #advanced mathematical theories #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/bf02551077
published as Theor.Math.Phys. 124 (2000) 1059-1067; Teor.Mat.Fiz. 124 (2000) 239-248 · 10 pages
arxiv created 2000/05/06 · openalex publication_date 2000/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The classical and quantum formalism for a p-adic and adelic harmonic oscillator with time-dependent frequency is developed, and general formulae for main theoretical quantities are obtained. In particular, the p-adic propagator is calculated, and the existence of a simple vacuum state as well as adelic quantum dynamics is shown. Space discreteness and p-adic quantum-mechanical phase are noted.