On a charged spinless point particle minimally coupled to a constant magnetic field in a noncommutative plane

S Hasibul Hassan Chowdhury,Talal Ahmed Chowdhury

doi:10.1016/j.aop.2023.169308

On a charged spinless point particle minimally coupled to a constant magnetic field in a noncommutative plane

S Hasibul Hassan Chowdhury, Talal Ahmed Chowdhury

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https://doi.org/10.1016/j.aop.2023.169308

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Journal: Annals of Physics	Publication Date: Apr 5, 2023
License type: publisher-specific-oa

Affiliation: BRAC University, University of Dhaka, University of Kansas

#Noncommutative Plane #Charged Point Particle + Show 8 more

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Abstract

In this paper, we provide a mathematically and physically consistent minimal prescription for a charged spinless point particle coupled to a constant magnetic field in a 2-dimensional noncommutative plane. It turns out to be a gauge invariant prescription in contrast to the widely and carelessly used naive minimal prescription in the context of 2-dimensional quantum mechanics in a noncommutative plane. Besides, we explore the noncommutative U(1) gauge theoretic structure of the underlying noncommutative system by explicitly computing the 1-parameter family of Seiberg–Witten maps.

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