Anwesha Chakraborty | University of Calcutta (original) (raw)
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We present here a completely operatorial approach, using Hilbert-Schmidt operators, to compute sp... more 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 axiomatic framework given by [13, 14]. The result shows no deformations
of non-commutative origin, as in the Euclidean case.
Papers by Anwesha Chakraborty
arXiv: High Energy Physics - Theory, Nov 4, 2021
Here we have illustrated the construction of a real structure on fuzzy sphere S 2 * in its spin-1... more 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 [U. C
Journal of Mathematical Physics, 2022
Here we have illustrated the construction of a real structure on fuzzy sphere S ∗ in its spin-1/2... more Here we have illustrated the construction of a real structure on fuzzy sphere S ∗ in its spin-1/2 representation. Considering the SU(2) coviariant Dirac and chirality operator on S ∗ given by Wattamura et. al. in [1], we have shown that the real structure is consistent with other spectral data for KO dimension-4 fulfilling the zero order condition, where we find it necessary to enlarge the symmetry group from SO(3) to the full orthogonal group O(3). However the first order condition is violated thus paving the way to construct a toy model for an SU(2) gauge theory to capture some features of physics beyong standard model following Connes et.al.[2].
We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum... more 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 harmonic oscillator system with perturbation linear in position and momentum. The system is then diagonalised to get a generalised harmonic oscillator and then its adiabatic evolution over time-period T is studied in Heisenberg picture to compute the expression of geometric phaseshift.
We present here a completely operatorial approach, using Hilbert-Schmidt operators, to compute sp... more 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 axiomatic framework given by [13, 14]. The result shows no deformations
of non-commutative origin, as in the Euclidean case.
arXiv: High Energy Physics - Theory, Nov 4, 2021
Here we have illustrated the construction of a real structure on fuzzy sphere S 2 * in its spin-1... more 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 [U. C
Journal of Mathematical Physics, 2022
Here we have illustrated the construction of a real structure on fuzzy sphere S ∗ in its spin-1/2... more Here we have illustrated the construction of a real structure on fuzzy sphere S ∗ in its spin-1/2 representation. Considering the SU(2) coviariant Dirac and chirality operator on S ∗ given by Wattamura et. al. in [1], we have shown that the real structure is consistent with other spectral data for KO dimension-4 fulfilling the zero order condition, where we find it necessary to enlarge the symmetry group from SO(3) to the full orthogonal group O(3). However the first order condition is violated thus paving the way to construct a toy model for an SU(2) gauge theory to capture some features of physics beyong standard model following Connes et.al.[2].
We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum... more 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 harmonic oscillator system with perturbation linear in position and momentum. The system is then diagonalised to get a generalised harmonic oscillator and then its adiabatic evolution over time-period T is studied in Heisenberg picture to compute the expression of geometric phaseshift.