Two-Particle System with Harmonic Oscillator Potential in Non-commutative Phase Space

In this paper, we investigate the influence of non-commutativity of both coordinates and momenta on the motion of a two-particle system in the presence of harmonic oscillator potential in plane. We obtain the equations of motion for the center of mass and the reduced mass and show that how they are...

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Bibliographic Details
Published in:Few-body systems 2022-06, Vol.63 (2), Article 49
Main Authors: Safaei, A. A., Panahi, H., Hassanabadi, H.
Format: Article
Language:English
Subjects:
Algebra
Atomic
Commutativity
Equations of motion
Hadrons
Harmonic oscillators
Heavy Ions
Molecular
Nuclear Physics
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
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Summary:In this paper, we investigate the influence of non-commutativity of both coordinates and momenta on the motion of a two-particle system in the presence of harmonic oscillator potential in plane. We obtain the equations of motion for the center of mass and the reduced mass and show that how they are dependent to the non-commutative parameters. We also show that the non-commutativity can be interpreted as an external force to system. In the limit of commutative phase space ( θ → 0 , η → 0 ) , the results are also agreement with the results of ordinary phase space.
ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-022-01747-z