Zobrazeno 1 - 10
of 233
pro vyhledávání: '"Chakraborty, Biswajit"'
Here, we present an algebraic and kinematical analysis of non-commutative $\kappa$-Minkowski spaces within Galilean (non-relativistic) and Carrollian (ultra-relativistic) regimes. Utilizing the theory of Wigner-In\"{o}nu contractions, we begin with a
Externí odkaz:
http://arxiv.org/abs/2401.05769
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
Publikováno v:
J. Math. Phys. 63, 023504 (2022)
Here we have illustrated the construction of a real structure on fuzzy sphere $S^2_*$ in its spin-1/2 representation. Considering the SU(2) covariant Dirac and chirality operator on $S^2_*$ given by Watamura et. al. in [6], we have shown that the rea
Externí odkaz:
http://arxiv.org/abs/2111.03012
Publikováno v:
Nucl. Phys. B, Volume 975, February 2022, 115691
We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum space-time of Moyal type, where the time 't' is also an operator. An effective commutative description of the system gives a time dependent generalised
Externí odkaz:
http://arxiv.org/abs/2110.04730
Publikováno v:
Phys. Rev. A 102, 022231 (2020)
Appearance of adiabatic geometric phase shift in the context of noncommutative quantum mechanics is studied using an exactly solvable model of 2D simple harmonic oscilator in Moyal plane, where momentum non-commutativity are also considered along wit
Externí odkaz:
http://arxiv.org/abs/1911.03196
Publikováno v:
Int. J. Geom. Meth. Mod. Phys. 17 (2020) 06, 2050089
We present here a completely operatorial approach, using Hilbert-Schmidt operators, to compute spectral distances between time-like separated "events ", associated with the pure states of the algebra describing the Lorentzian Moyal plane, using the a
Externí odkaz:
http://arxiv.org/abs/1910.00010
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
Autor:
Chakraborty, Biswajit, Maur, Subhajit, Kumar Pradhan, Arpan, Chatterjee, Biswendu, Dalai, Sovan
Publikováno v:
In Journal of Molecular Liquids 15 November 2022 366
Publikováno v:
Phys. Rev. D 97, 086019 (2018)
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 Lipschitz ball condition explicitly through matrices. The standard results of
Externí odkaz:
http://arxiv.org/abs/1711.00653