10 citations · 37 across the 7 of their papers we have counts for
7 papers
Trajectories of charged particles in knotted electromagnetic fields
Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Picanço Costa
We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with…
Conserved charges for rational electromagnetic knots
Lukas Hantzko, Kaushlendra Kumar, Gabriel Picanço Costa
We revisit a newfound construction of rational electromagnetic knots based on the conformal correspondence between Minkowski space and a finite -cylinder. We present here a mo…
Instability of cosmic Yang-Mills fields
Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Picanço Costa
There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in…
On rational electromagnetic fields
Kaushlendra Kumar, Olaf Lechtenfeld
We employ a recently developed method for constructing rational electromagnetic field configurations in Minkowski space to investigate several properties of these source-free finit…
Spectral distances on doubled Moyal plane using Dirac eigen-spinors
Kaushlendra Kumar, Biswajit Chakraborty
We present here a novel method of computing spectral distances in doubled Moyal plane in a noncommutative geometrical framework using Dirac eigen-spinors, while solving the Lipschi…
Revisiting Connes' Finite Spectral Distance on Non-commutative Spaces: Moyal Plane and Fuzzy Sphere
Yendrembam Chaoba Devi, Alpesh Patil, Aritra N Bose +4
We revise and extend the algorithm of F. G. Scholtz and B. Chakraborty [J. Phys. A: Math. Theor. 46 (2013) 085204] to compute the finite Connes' distance between normal states on t…
On the role of Schwinger's SU(2) generators for Simple Harmonic Oscillator in 2D Moyal plane
Kaushlendra Kumar, Shivraj Prajapat, Biswajit Chakraborty
The Hilbert-Schmidt operator formulation of non-commutative quantum mechanics in 2D Moyal plane is shown to allow one to construct Schwinger's SU(2) generators. Using this the SU(2…