21 citations · 87 across the 21 of their papers we have counts for
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Symmetry Duality: Exploring Exotic Oscillators And Dissipative Dynamics Through The Glass Of Newton-Hooke
Sayan Kumar Pal, Partha Nandi
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 th…
The hidden Lorentz Covariance of Quantum Mechanics
Partha Nandi, Frederik G. Scholtz
This paper introduces a systematic algorithm for deriving a new unitary representation of the Lorentz algebra () and an irreducible unitary representation of the extended…
Symmetries of Minkowski space-time: A possibility of exotic momentum space geometry?
Partha Nandi, Anwesha Chakraborty, Sayan Kumar Pal +2
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…
Our Trysts with `Bal' and Noncommutative Geometry
Biswajit Chakraborty, Partha Nandi, Sayan Kumar Pal +1
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 m…
Some Aspects of Quantum Mechanics and Quantum Field Theory on Quantum Space- Time
Partha Nandi
This thesis is devoted to studying various aspects of quantum mechanics on non-commutative space-time and to capture some of the surviving aspects of symmetries of quantum field th…
Spectral triple with real structure on fuzzy sphere
Anwesha Chakraborty, Partha Nandi, Biswajit Chakraborty
Here we have illustrated the construction of a real structure on fuzzy sphere in its spin-1/2 representation. Considering the SU(2) covariant Dirac and chirality operator o…
Fingerprints of the quantum space-time in time-dependent quantum mechanics: An emergent geometric phase
Anwesha Chakraborty, Partha Nandi, Biswajit Chakraborty
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 com…
A note on broken dilatation symmetry in planar noncommutative theory
Partha Nandi, Sankarshan Sahu, Sayan Kumar Pal
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 tr…
Emergent entropy of exotic oscillators and squeezing in three-wave mixing process
S. K. Pal, P. Nandi, S. Ghosh +2
We demonstrate the existence of entanglement between the spatial degrees of freedom of a system of harmonic oscillators placed in the noncommutative Moyal plane ("exotic oscillator…
Emergence of Geometric phase shift in Planar Non-commutative Quantum Mechanics
Saptarshi Biswas, Partha Nandi, Biswajit Chakraborty
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…
Fuzzy Classical Dynamics as a Paradigm for Emerging Lorentz Geometries
F. G. Scholtz, P. Nandi, S. K. Pal +1
We show that the classical equations of motion for a particle on three dimensional fuzzy space and on the fuzzy sphere are underpinned by a natural Lorentz geometry. From this geom…