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q-Deformed Heisenberg Algebras

  • Julius Wess
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 543)

Abstract

This lecture consists of two sections. In section 1 we consider the simplest version of a q-deformed Heisenberg algebra as an example of a noncommutative structure. We first derive a calculus entirely based on the algebra and then formulate laws of physics based on this calculus. Then we realize that an interpretation of these laws is only possible if we study representations of the algebra and adopt the quantum mechanical scheme. It turns out that observables like position or momentum have discrete eigenvalues and thus space gets a lattice-like structure.

Keywords

Hilbert Space Covariant Derivative Quantum Group Selfadjoint Operator Leibniz Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Julius Wess
    • 1
    • 2
  1. 1.Sektion Physik der Ludwig-Maximilians-UniversitätMünchen
  2. 2.Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)München

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