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Open Quantum Systems Decoherence Quantum Simulation

Four dimensional quantum oscillator and magnetic-monopole with U(1) dynamical group

arXiv

Authors: Zahra Bakhshi, Hossein Panahi, Goli Golchehre

Year

2016

Paper ID

7875

Status

Preprint

Abstract Read

~2 min

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Abstract

By using of an appropriate transformation, it was shown that the quantum system of 4 dimensional simple harmonic oscillator can describe the motion of a charged particle in the presence of a magnetic monopole field. It was shown that the Dirac magnetic monopole has the hidden algebra of U(1) symmetry and by reducing of the dimensions of space, the U(1)*U(1) dynamical group for 4D harmonic oscillator quantum system was obtained. Using the group representation and based on explicit solution of the obtained differential equation, the spectrum of system was calculated.

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By using of an appropriate transformation, it was shown that the quantum system of 4 dimensional simple harmonic oscillator can describe the motion of a charged particle in the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1608.06085 [2] arXiv https://arxiv.org/abs/1608.06085 [3] Publisher https://arxiv.org/abs/1608.06085

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