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A quantum effect characterized by a dependence of the angular frequency associated with the confinement of a neutral particle to a quantum ring on the quantum numbers of the system and the Aharonov-Casher geometric phase is discussed. Then,…

Quantum Physics · Physics 2015-07-21 P. M. T. Barboza , K. Bakke

In this work, we study the Aharonov-Bohm-Coulomb (ABC) system for a relativistic Dirac particle with position-dependent mass (PDM). To solve our system, we use the left-handed and right-handed projection operators. Next, we explicitly…

Quantum Physics · Physics 2018-12-20 R. R. S. Oliveira , A. A. Araujo Filho , R. V. maluf , C. A. S. Almeida

We obtain exact solutions of the 2D Schr\"odinger equation with the Singular Even-Power and Inverse-Power Potentials in non-commutative complex space, using the Power-series expansion method. Hence we can say that the Schr\"odinger equation…

Quantum Physics · Physics 2014-10-08 Slimane Zaim , Abdelkader Bahache

A massless spinor particle is considered in the background gravitational field due to a rotating body. In the weak field approximation it is shown that the solution of the Weyl equations depend on the angular momentum of the rotating body,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Geusa de A. Marques , V. B. Bezerra

Particle motion in the fields of Aharonov-Bohm and Aharonov-Casher is considered in framework of the classical theory to reveal conditions admitting duality of the two configurations. Important role of orientation of the magnetic dipole…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ya. I. Azimov , R. M. Ryndin

We have calculated the persistent spin current of an open ring induced by the Aharonov-Casher phase. For unpolarized electrons there exist no persistent charge currents, but persistent spin currents. We show that, in general, the magnitude…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Taeseung Choi , Chang-Mo Ryu , A. M. Jayannavar

The state space of Loop Quantum Gravity admits a decomposition into orthogonal subspaces associated to diffeomorphism equivalence classes of spin-network graphs. In this paper I investigate the possibility of obtaining this state space from…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Eugenio Bianchi

A Bose-Einstein condensation theory for any integer spin using noncommutative quantum mechanics methods is considered. The effective potential is derived as a multipolar expansion in the non-commutativity parameter ($\theta$) and, at second…

High Energy Physics - Theory · Physics 2009-12-15 J. Gamboa , F. Mendez

Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated. By searching for analytical solutions to the Schr\"odinger equation…

General Physics · Physics 2019-09-05 W. C. F. da Silva , K. Bakke , R. L. L. Vitória

In this work, we investigate the quantum motions of non-relativistic particles interacting with a potential in the presence of the Aharonov-Bohm (AB) flux field within a topological defect geometry, for example, space-time with a distortion…

Quantum Physics · Physics 2024-02-13 Prabir Rudra , Faizuddin Ahmed , Houcine Aounallah

In this article, we investigate Ehrenfest's theorem from the Dirac equation in a noncommutative phase-space where we calculate the time derivative of the position and the kinetic momentum operators for Dirac particles in interaction with…

Quantum Physics · Physics 2024-01-09 Ilyas Haouam

We consider the role of quantum effects in the non-perturbative decay of non-abelian string with orientational moduli in non-supersymmetric D=4 gauge theory. To this aim the effective action in the $CP(N-1)$ model on a disc at large N has…

High Energy Physics - Theory · Physics 2013-10-30 A. Gorsky , A. Milekhin

Noncommutative phase space plays an essential role in particle physics and quantum gravity at the Planck scale. However, direct experimental evidence or observation to demonstrate the existence of noncommutative phase space is still…

Quantum Physics · Physics 2015-02-03 Shi-Dong Liang , Haoqi Li , Guang-Yao Huang

We bring the set of linear quantum operations, important for many fundamental studies in photonic systems, to the material domain of collective excitations known as spin waves. Using the ac Stark effect we realize quantum operations on…

Quantum power corrections to the gravitational spin-orbit and spin-spin interactions, as well as to the Lense-Thirring effect, were found for particles of spin 1/2. These corrections arise from diagrams of second order in Newton…

General Relativity and Quantum Cosmology · Physics 2014-11-17 G. G. Kirilin

Two different self-adjoint Pauli extensions describing a spin-1/2 two-dimensional quantum system with singular magnetic field are studied. An Aharonov-Casher type formula is proved for the maximal Pauli extension and it is also checked that…

Mathematical Physics · Physics 2014-06-11 Mikael Persson

A revised program for generating the spin-angular coefficients in relativistic atomic structure calculations is presented. When compared with our previous version [G.Gaigalas, S.Fritzsche and I.P.Grant, CPC 139 (2001) 263], the new version…

Atomic Physics · Physics 2009-11-10 G. Gaigalas , S. Fritzsche

It is commonly believed that the Aharonov-Bohm (AB) effect is a typical feature of the motion of a charged particle interacting with the electromagnetic vector potential. Here we present a magnetophotoluminescence study of type-II InP/GaAs…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Ribeiro , G. Medeiros-Ribeiro , W. Carvalho , A. O. Govorov

In the present paper the study of inertial spin current(that appears in an accelerated frame of reference) is extended to Non-Commutative (NC) space. The $\theta$-dependence, ($\theta$ being the NC parameter), of the inertial spin current…

Mesoscale and Nanoscale Physics · Physics 2013-09-06 B. Basu , Debashree Chowdhury , Subir Ghosh

With the use of the general covariant matrix 10-dimensional Petiau -- Duffin -- Kemmer formalism in cylindrical coordinates and tetrad there are constructed exact solutions of the quantum-mechanical equation for a particle with spin 1 in…

Mathematical Physics · Physics 2010-05-20 V. V. Kisel , E. M. Ovsiyuk , V. M. Red'kov