Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Scholtz, Frederik G"'
Autor:
Nandi, Partha, Scholtz, Frederik G.
This paper introduces a systematic algorithm for deriving a new unitary representation of the Lorentz algebra ($so(1,3)$) and an irreducible unitary representation of the extended (anti) de-Sitter algebra ($so(2,4)$) on $\mathcal{L}^{2}(\mathcal{R}^{
Externí odkaz:
http://arxiv.org/abs/2312.15750
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
Autor:
Trinchero, Dario, Scholtz, Frederik G.
We investigate a quantum-to-classical transition which arises naturally within the fuzzy sphere formalism for three-dimensional non-commutative quantum mechanics. This transition may be understood as the mechanism of decoherence, but without requirin
Externí odkaz:
http://arxiv.org/abs/2212.01449
Revisiting Connes' Finite Spectral Distance on Non-commutative Spaces : Moyal Plane and Fuzzy Sphere
Autor:
Devi, Yendrembam Chaoba, Patil, Alpesh, Bose, Aritra N, Kumar, Kaushlendra, Chakraborty, Biswajit, Scholtz, Frederik G
We revise and extend the algorithm provided in [1] to compute the finite Connes' distance between normal states. The original formula in [1] contains an error and actually only provides a lower bound. The correct expression, which we provide here, in
Externí odkaz:
http://arxiv.org/abs/1608.05270
We compute the effective action for stationary and spatially constant magnetic fields, when coupled anomalously to charge neutral fermions, by integrating out the fermions. From this the grand canonical partition function and potential of the fermion
Externí odkaz:
http://arxiv.org/abs/1507.00464
Autor:
Prajapat, Shivraj, Devi, Yendrembam Chaoba, Mukhopadhyay, Aritra K, Chakraborty, Biswajit, Scholtz, Frederik G
An algorithm to compute Connes spectral distance, adaptable to the Hilbert-Schmidt operatorial formulation of non-commutative quantum mechanics, was developed earlier by introducing the appropriate spectral triple and used to compute infinitesimal di
Externí odkaz:
http://arxiv.org/abs/1406.6782
Publikováno v:
Phys.Rev.D 90 (2014) 047702
Here we demonstrate, firstly, the construction of dualities using the exact renormalization group approach and, secondly, that spatial non-commutativity can emerge as such a duality. This is done in a simple quantum mechanical setting that establishe
Externí odkaz:
http://arxiv.org/abs/1406.4717
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 235301
In this paper, the connection between the path integral representation of propagators in the coherent state basis with additional degrees of freedom \cite{rohwer} and the one without any such degrees of freedom \cite{sgfgs} is established. We further
Externí odkaz:
http://arxiv.org/abs/1402.6156
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 075301
The formulation of noncommutative quantum mechanics as a quantum system represented in the space of Hilbert-Schmidt operators is used to systematically derive, using the standard time slicing procedure, the path integral action for a particle moving
Externí odkaz:
http://arxiv.org/abs/1309.3144