The relativistic two-dimensional harmonic oscillator

Nagiyev, S. M.; Jafarov, E. I.; Efendiyev, M. Y.

doi:10.48550/arxiv.0902.1073

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2016

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“…The Hamilton operator and the momentum operators of the particle defined on the functions ξ * 2 (p, ρ, n) have the form [5] H…”

Section: Introductionmentioning

confidence: 99%

A model of the two-dimensional quantum harmonic oscillator in an $$AdS_3$$ A d S 3 background

Frick

2016

Eur. Phys. J. C

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In this paper we study a model of the twodimensional quantum harmonic oscillator in a threedimensional anti-de Sitter background. We use a generalized Schrödinger picture in which the analogs of the Schrödinger operators of the particle are independent of both the time and the space coordinates in different representations. The spacetime independent operators of the particle induce the Lie algebra of Killing vector fields of the Ad S 3 spacetime. In this picture, we have a metamorphosis of the Heisenberg uncertainty relations.

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“…The Hamilton operator and the momentum operators of the particle defined on the functions ξ * 2 (p, ρ, n) have the form [5] H…”

Section: Introductionmentioning

confidence: 99%