Our Trysts with `Bal' and Noncommutative Geometry
High Energy Physics - Theory
2022-12-14 v1 Quantum Physics
Abstract
This contributory article begins with our fond and sincere reminiscences about our beloved Prof. A.P. Balachandran. In the main part, we discuss our recent formulation of quantum mechanics on (1+1)D noncommutative space-time using Hilbert-Schmidt operators. As an application, we demonstrate how geometrical phase in a system of time-dependent forced harmonic oscillator living in the Moyal space-time can emerge.
Cite
@article{arxiv.2212.06548,
title = {Our Trysts with `Bal' and Noncommutative Geometry},
author = {Biswajit Chakraborty and Partha Nandi and Sayan Kumar Pal and Anwesha Chakraborty},
journal= {arXiv preprint arXiv:2212.06548},
year = {2022}
}
Comments
In Honor of A.P.Balachandran on the Occasion of His 85th Birthday (To be published in the Festschrift volume: Particles, Fields and Topology by World Scientific, Singapore)