Towards Adelic Noncommutative Quantum Mechanics

  • Goran S. Djordjević
  • Ljubiša Nešić
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 616)


A motivation of using noncommutative and nonarchimedean geometry on very short distances is given. Besides some mathematical preliminaries, we give a short introduction in adelic quantum mechanics. We also recall to basic ideas and tools embedded in q-deformed and noncommutative quantum mechanics. A rather fundamental approach, called deformation quantization, is noted. A few relations between noncommutativity and nonarchimedean spaces as well as similarities between corresponding quantum theories on them are pointed out. An extended Moyal product in a proposed form of adelic noncommutative quantum mechanics is considered. We suggest some question for future investigations.


Star Product Deformation Quantization Ultrametric Space Canonical Commutation Relation Standard Quantum Mechanic 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Goran S. Djordjević
    • 1
    • 2
  • Ljubiša Nešić
    • 1
  1. 1.Department of PhysicsUniversity of NišYugoslavia
  2. 2.Sektion PhysikUniversität MünchenMünchenGermany

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