• Realisation of Snyder operators in quantum mechanics

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      https://www.ias.ac.in/article/fulltext/pram/095/0058

    • Keywords

       

      Quantum mechanics; Snyder algebra.

    • Abstract

       

      The lack of experimental results of theories concerning the ultimate space/space–time structure, leads one to think about some simple experiments that can help demonstrate the main prediction: Space–time is discrete. In this paper, an implementation of Snyder operators is applied to simple geometries, to demonstrate that the spectrum of the position operator, in standard quantum mechanics (QM), is discrete when a parameter measuring the non-commutativity of quantum operators is introduced. The geometries are specially suitable for experiments in search of the behaviour of ultracold neutrons falling in the Earth’s gravitational potential.

    • Author Affiliations

       

      CARLOS LEIVA1 SALOMON ROMERO1

      1. Departamento de Física, Universidad de Tarapacá, Casilla 7-D, Arica, Chile
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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