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On Some Deformed Canonical Commutation Relations: The Role of Distributions

In: Trails in Modern Theoretical and Mathematical Physics

Author

Listed:
  • Fabio Bagarello

    (Università di Palermo, Dipartimento di Ingegneria
    Istituto Nazionale di Fisica Nucleare, Sezione di Catania)

Abstract

According to Gianni’s view of research, the role of Mathematics is essential in many fields of science, and in Theoretical Physics in particular. The literature is full of claims which look reasonable, but are not based on theorems or rigorous proofs. And this is true in Condensed Matter, Statistical Physics, Quantum Field Theory, Elementary Particles and so on. The content of this chapter, I believe, could have been of some interest for Gianni, even if, as far as I know, he was never working on what I will discuss here. Therefore, with this in mind, let me start my scientific contribution to this volume.

Suggested Citation

  • Fabio Bagarello, 2023. "On Some Deformed Canonical Commutation Relations: The Role of Distributions," Springer Books, in: Andrea Cintio & Alessandro Michelangeli (ed.), Trails in Modern Theoretical and Mathematical Physics, pages 17-52, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-44988-8_4
    DOI: 10.1007/978-3-031-44988-8_4
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