Journal article
THE CLASSICAL HARMONIC OSCILLATOR ON GALOIS AND P-ADIC FIELDS
International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.4(9), pp.2211-2233
05/20/1989
DOI: 10.1142/S0217751X89000881
Abstract
Starting from a difference equation corresponding to the harmonic oscillator, we discuss various properties of the classical motion (cycles, conserved quantity, boundedness, continuum limit) when the dynamical variables take their values on Galois or p-adic fields. We show that these properties can be applied as a technical tool to calculate the motion on the real numbers. On the other hand, we also give an example where the motions over Galois and p-adic fields have a direct physical interpretation. Some perspectives for quantum field theory and strings are briefly discussed.
Details
- Title: Subtitle
- THE CLASSICAL HARMONIC OSCILLATOR ON GALOIS AND P-ADIC FIELDS
- Creators
- YANNICK Meurice - Argonne National Laboratory
- Resource Type
- Journal article
- Publication Details
- International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.4(9), pp.2211-2233
- DOI
- 10.1142/S0217751X89000881
- ISSN
- 0217-751X
- eISSN
- 1793-656X
- Language
- English
- Date published
- 05/20/1989
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199679702771
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