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4 papers · 2 filters
On the Landau system in noncommutative phase-space
Sunandan Gangopadhyay, Anirban Saha, Aslam Halder
We consider a charged particle moving in a two dimensional plane in the presence of a background magnetic field perpendicular to the plane, i.e. the Landau system in a phase-space…
Elementary modes of coupled oscillators with balanced loss and gain
Rabin Banerjee, Pradip Mukherjee
We obtain the elementary modes of a system of parity-time reversal ( PT ) - symmetric coupled oscillators with balanced loss and gain . These modes are used to give a physical pict…
Non-commutativity from exact renormalization group dualities
Sunandan Gangopadhyay, Frederik G Scholtz
Here we demonstrate, firstly, the construction of dualities using the exact renormalization group approach and, secondly, that spatial non-commutativity can emerge as such a dualit…
Path integral action and Chern-Simons quantum mechanics in noncommutative plane
Sunandan Gangopadhyay, Frederik G Scholtz
In this paper, the connection between the path integral representation of propagators in the coherent state basis with additional degrees of freedom \cite{rohwer} and the one witho…