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pro vyhledávání: '"Pal, Sayan Kumar"'
Autor:
Pal, Sayan Kumar, Nandi, Partha
Motivated by the symmetry in the non-relativistic limit of anti-de Sitter geometry, we employ planar dynamical models featuring exotic (deformed) harmonic oscillators, presented through direct and indirect Lagrangian representations. The latter intro
Externí odkaz:
http://arxiv.org/abs/2401.12957
Autor:
Nandi, Partha, Chakraborty, Anwesha, Pal, Sayan Kumar, Chakraborty, Biswajit, Scholtz, Frederik G
Publikováno v:
JHEP 07 (2023) 142
The quest for a quantum gravity phenomenology has inspired a quantum notion of space-time, which motivates us to study the fate of the relativistic symmetries of a particular model of quantum space-time, as well as its intimate connection with the pl
Externí odkaz:
http://arxiv.org/abs/2303.02728
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 ope
Externí odkaz:
http://arxiv.org/abs/2212.06548
The detection of gravitational waves (GWs) has marked an advent of new era in the domain of astrophysics and general relativity. Using the framework of interaction between GWs and a point particle-like detector, within linearized gravity approach, we
Externí odkaz:
http://arxiv.org/abs/2207.08687
A study of a riveting connection between noncommutativity and the anomalous dilatation (scale) symmetry is presented for a generalized quantum Hall system due to time dilatation transformations. On using the "Peierls substitution" scheme, it is shown
Externí odkaz:
http://arxiv.org/abs/2101.07076
Autor:
Pal, Sayan Kumar1 (AUTHOR) pal.sayan566@gmail.com, Nandi, Partha2 (AUTHOR)
Publikováno v:
European Physical Journal C -- Particles & Fields. Mar2024, Vol. 84 Issue 3, p1-9. 9p.
Publikováno v:
Nuclear Physics B935 (2018) 183-197
In this paper, we present the results of our investigation relating particle dynamics and non-commutativity of space-time by using Dirac's constraint analysis. In this study, we re-parameterise the time $t=t(\tau)$ along with $x=x(\tau)$ and treat bo
Externí odkaz:
http://arxiv.org/abs/1807.05062
Publikováno v:
Phys. Rev. A 97, 062110 (2018)
Quantum effects on a pair of Bateman oscillators embedded in an ambient noncommutative space (Moyal plane) is analyzed using both path integral and canonical quantization schemes within the framework of Hilbert-Schmidt operator formulation. We adopt
Externí odkaz:
http://arxiv.org/abs/1803.03334
We construct an effective commutative Schr\"odinger equation in Moyal space-time in $(1+1)$-dimension where both $t$ and $x$ are operator-valued and satisfy $\left[ \hat{t}, \hat{x} \right] = i \theta$. Beginning with a time-reparametrised form of an
Externí odkaz:
http://arxiv.org/abs/1708.04769
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