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We study effects of noncommutativity on the phase space generated by a non-minimal scalar field which is conformally coupled to the background curvature in an isotropic and homogeneous FRW cosmology. These effects are considered in two…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Behrooz Malekolkalami , Mehrdad Farhoudi

Bethe-Salpeter equation in the non-commutative space for a scalar-scalar bound state is considered. It is shown that in the non-relativistic limit, the effect of spatial non-commutativity appears as if there exist a magnetic dipole moment…

High Energy Physics - Theory · Physics 2009-11-07 M. Haghighat , F. Loran

A recent method of constructing quantum mechanics in noncommutative coordinates, alternative to implying noncommutativity by means of star product is discussed. Within this approach we study Hall effect as well as quantum phases in…

Mathematical Physics · Physics 2010-08-27 O. F. Dayi , B. Yapiskan

We study two quantum mechanical systems on the noncommutative plane using a representation independent approach. First, in the context of the Landau problem, we obtain an explicit expression for the gauge transformation that connects the…

High Energy Physics - Theory · Physics 2023-08-23 Nicolas Nessi , Lucas Sourrouille

In this paper, we investigate the effects of non-commutative phase-space on the quintom cosmological model. In that case, we discuss $\Lambda_{1}$, $\Lambda_{2}$ and other cosmological parameters and show that they are associated to…

High Energy Physics - Theory · Physics 2018-02-22 J. Sadeghi , B. Pourhassan , Z. Nekouee , M. Shokri

In this paper we consider a two component scalar field theory, with noncommutativity in its conjugate momentum space. We quantize such a theory in a compact space with the help of dressing transformations and we reveal a significant effect…

High Energy Physics - Theory · Physics 2017-10-02 Mir Mehedi Faruk , Mishkat Al Alvi , Wasif Ahmed , Md Muktadir Rahman , Arup Barua Apu

We study the issue of complex scalar field theories in noncommutative curved space time (NCCST) with a new star-product. In this paper, the equation of motion of scalar field and the canonical energy-momentum tensor of scalar field in…

High Energy Physics - Theory · Physics 2011-05-27 Abolfazl Jafari

We consider Noncommutative Quantum Mechanics with phase space noncommutativity. In particular, we show that a scaling of variables leaves the noncommutative algebra invariant, so that only the self-consistent effective parameters of the…

High Energy Physics - Theory · Physics 2009-11-11 O. Bertolami , J. G. Rosa , C. M. L. de Aragão , P. Castorina , D. Zappalà

In noncommutative space, we examine the problem of a noninteracting and harmonically trapped Bose-Einstein condensate, and derive a simple analytic expression for the effect of spatial noncommutativity on energy spectrum of the condensate.…

High Energy Physics - Theory · Physics 2008-11-26 You-Hua Luo , Zi-Ming Ge

We consider a space with noncommutativity of coordinates and noncommutativity of momenta. It is shown that coordinates in noncommutative phase space depend on mass therefore they can not be considered as kinematic variables. Also,…

Quantum Physics · Physics 2017-10-05 Kh. P. Gnatenko

We construct algebra with noncommutativity of coordinates and noncommutativity of momenta which is rotationally invariant and equivalent to noncommutative algebra of canonical type. Influence of noncommutativity on the energy levels of…

Quantum Physics · Physics 2017-09-15 Kh. P. Gnatenko , V. M. Tkachuk

We analyze $e^{+}e^{-}\rightarrow \gamma\gamma$, $e^{-}\gamma \rightarrow e^{-}\gamma$ and $\gamma\gamma \rightarrow e^{+}e^{-} $ processes within the Seiberg-Witten expanded noncommutative scenario using polarized beams. With unpolarized…

High Energy Physics - Phenomenology · Physics 2015-03-19 Sumit K. Garg , T. Shreecharan , P. K. Das , N. G. Deshpande , G. Rajasekaran

We investigate effects of noncommutativity of phase space generated by two scalar fields conformally coupled to curvature in FRW cosmology. We restrict deformation of minisuperspace to noncommutativity between scalar fields and between…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Behrooz Malekolkalami , Mehrdad Farhoudi

Composite system is studied in noncommutative phase space with preserved rotational symmetry. We find conditions on the parameters of noncommutativity on which commutation relations for coordinates and momenta of the center-of-mass of…

Quantum Physics · Physics 2018-02-27 Kh. P. Gnatenko , V. M. Tkachuk

Motivated by the recent interest aroused by non-dynamical axionic electrodynamics in the context of topological insulators and Weyl semimetals, we discuss a simple model of the magnetoelectric effect in terms of a $\theta$-scalar field that…

High Energy Physics - Theory · Physics 2025-04-01 Daniel G. Velázquez , R. Martínez von Dossow , Luis F. Urrutia

Quantum field theories on noncommutative spacetime have many different properties from those on commutative spacetime. In this paper, we study the microcausality of free scalar field on noncommutative spacetime. We expand the scalar field…

High Energy Physics - Theory · Physics 2007-07-30 Zheng Ze Ma

In this paper we examine the stability of scalar perturbations in nonsingular models which emerge from an interacting vacuum component. The analysis developed in this paper relies on two phenomenological choices for the energy exchange…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Filipe Cattete Alves , Rodrigo Maier

We show that the strength of non-commutativity could play a role in determining the boundary condition of a physical problem. As a toy model we consider the inverse square problem in non-commutative space. The scale invariance of the system…

High Energy Physics - Theory · Physics 2009-08-17 Pulak Ranjan Giri

In this work we shall explore the effects of non commutativity in fractional classical and quantum schemes using the flat Friedmmann-Robertson-Walker (FRW) cosmological model coupled to a scalar field in the K-essence formalism. In previous…

General Relativity and Quantum Cosmology · Physics 2024-03-04 J. Socorro , J. Juan Rosales , Leonel Toledo-Sesma

We study the effect of noncommutativity of space on the physics of a quantum interferometer located in a rotating disk in a gauge field background. To this end, we develop a path-integral approach which allows defining an effective action…

High Energy Physics - Theory · Physics 2010-11-19 H. R. Christiansen , F. A. Schaposnik
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