29 citations · 51 across the 7 of their papers we have counts for
7 papers
Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
Aslam Halder
We investigate the relativistic quantum dynamics of amassless electron in graphene in a two-dimensional noncommutative (NC) plane under a constant background magnetic field. To add…
Dirac equation in a gauge-field background in the Moyal plane
Aslam Halder, Sunandan Gangopadhyay, Anirban Saha
Starting with the Dirac equation for an electron in a constant electromagnetic background on a noncommutative (NC) plane, we obtain a gauge invariant description of the system. Sur…
Graphene on noncommutative plane and the Seiberg-Witten map
Aslam Halder
Graphene on two dimensional (2D) noncommutative (NC) plane in the presence of a constant background magnetic field has been studied. To handel the gauge-invariance issue we start o…
Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
Aslam Halder, Sunandan Gangopadhyay
Landau system in noncommutative space has been considered. To take into account the issue of gauge invariance in noncommutative space, we incorporate the Seiberg-Witten map in our…
Path-integral action of a particle in the noncommutative phase-space
Sunandan Gangopadhyay, Aslam Halder
In this paper we construct a path integral formulation of quantum mechanics on noncommutative phase-space. We first map the system to an equivalent system on the noncommutative pla…
Pauli equation on noncommutative plane and the Seiberg-Witten map
Aslam Halder, Sunandan Gangopadhyay
We study the Pauli equation in noncommutative two dimensional plane which exhibits the supersymmetry algebra when the gyro-magnetic ratio is . The significance of the Seiberg-Wi…