• Harmonic oscillator in Snyder space: The classical case and the quantum case

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/074/02/0169-0175

    • Keywords

       

      Harmonic oscillator; Snyder space; non-commutativity.

    • Abstract

       

      The harmonic oscillator in Snyder space is investigated in its classical and quantum versions. The classical trajectory is obtained and the semiclassical quantization from the phase space trajectories is discussed. An effective cut-off to high frequencies is found. The quantum version is developed and an equivalent usual harmonic oscillator is obtained through an effective mass and an effective frequency introduced in the model. This modified parameters give us a modified energy spectrum also.

    • Author Affiliations

       

      Carlos Leiva1

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

       
  • Pramana – Journal of Physics | News

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