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The quantum harmonic oscillator on a circle and a deformed Heisenberg algebra

  • Theoretical physics
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The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

We show that the Heisenberg-type algebra describing the first levels of the quantum harmonic oscillator on a circle of large length L is a deformed Heisenberg algebra. The successive energy levels of this quantum harmonic oscillator on a circle of large length L are interpreted, similarly to the standard quantum one-dimensional harmonic oscillator on an infinite line, as being obtained by the creation of a quantum particle of frequency w at very high energies.

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Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil , , , , , , BR

    M.A. Rego-Monteiro

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  1. M.A. Rego-Monteiro
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Received: 29 March 2001 / Revised version: 17 July 2001 / Published online: 31 August 2001

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Rego-Monteiro, M. The quantum harmonic oscillator on a circle and a deformed Heisenberg algebra. Eur. Phys. J. C 21, 749–756 (2001). https://doi.org/10.1007/s100520100763

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  • DOI: https://doi.org/10.1007/s100520100763

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