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Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects

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Noncommutative Structures in Mathematics and Physics

Part of the book series: NATO Science Series ((NAII,volume 22))

Abstract

We present a short review of adelic quantum mechanics pointing out its non-Archimedean and noncommutative aspects. In particular, p-adic path integral and adelic quantum cosmology are considered. Some similarities between p-adic analysis and q-analysis are noted. The p-adic Moyal product is introduced

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Djordjević, G., Dragovich, B., Nešić, L. (2001). Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects. In: Duplij, S., Wess, J. (eds) Noncommutative Structures in Mathematics and Physics. NATO Science Series, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0836-5_33

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  • DOI: https://doi.org/10.1007/978-94-010-0836-5_33

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6999-8

  • Online ISBN: 978-94-010-0836-5

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