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In this paper we consider torsion gravity in the case of the Dirac field, and by going into the rest frame we study what happens when a uniform precession as well as a phase are taken into account for the spinor field; we discuss how…

General Relativity and Quantum Cosmology · Physics 2017-08-10 Luca Fabbri

We study the entanglement between two modes of Dirac field in an expanding spacetime characterized by the Robertson-Walker metric. This spacetime model turns out to be asymptotically (in the remote past and far future regions) Minkowskian.…

General Relativity and Quantum Cosmology · Physics 2014-01-21 Shahpoor Moradi , Roberto Pierini , Stefano Mancini

We consider a mechanism of spin decay for an electron spin in a quantum dot due to coupling to a nearby quantum point contact (QPC) with and without an applied bias voltage. The coupling of spin to charge is induced by the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Massoud Borhani , Vitaly N. Golovach , Daniel Loss

We study the velocity autocorrelations in an experimental configuration of confined two-dimensional active rotors (disks). We report persistent small scale oscillations in both rotational and translational velocity autocorrelations, with…

In the spirit of multi-scale modeling, we develop a theoretical framework for spin-lattice coupling that connects, on the one hand, to ab initio calculations of spin-lattice coupling parameters and, on the other hand, to the magneto-elastic…

This article gives a geometric interpretation of the spin base formulation with local spin base invariance of spinors on a curved space-time and in particular of a central element, the global Dirac structure, in terms of principal and…

High Energy Physics - Theory · Physics 2022-05-04 Claudio Emmrich

Two-dimensional hexagonal and oblique lattices were investigated theoretically with the aim of observing differences in the spin expectation values between chiral and achiral systems. The spinresolved band structures were derived from the…

Mesoscale and Nanoscale Physics · Physics 2018-06-19 N. K. Lewis , P. J. Durham , W. R. Flavell , E. A. Seddon

We study the influence of the spin-torsion coupling prescription and we prove the causal propagation for the fields of the standard model.

High Energy Physics - Theory · Physics 2011-09-13 Luca Fabbri

A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein--Cartan theory and the possible interpretation of the torsion trace as the…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Horie

The difference in the properties of the spin correlation tensor for factorizable and nonfactorizable two-particle states is analyzed. The inequalities for linear combinations of the components of this tensor are obtained for the case of…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Lednicky , V. Lyuboshitz

In this work we present the general differential geometry of a background in which the space-time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Luca Fabbri

The spin connections of the Dirac field have three ingredients that are connected with the Ricci rotations, the Maxwell field, and an axial field which is coupled to the axial current. I demonstrate that the axial field provides an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Makhlin

The global spin alignment of the vector meson has been observed in relativistic heavy ion collisions, but is still on hot debates in the theoretical community. Here we propose to apply the light front framework to explain this phenomenon…

High Energy Physics - Phenomenology · Physics 2024-07-09 Baochi Fu , Fei Gao , Yuxin Liu , Huichao Song

The spin force operator on a non-relativistic Dirac oscillator ( in the non-relativistic limit the Dirac oscillator is a spin one-half 3D harmonic oscillator with strong spin-orbit interaction) is derived using the Heisenberg equations of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 M. S. Shikakhwa

We study the quantum mechanics of a Dirac fermion on a curved spacetime manifold. The metric of the spacetime is completely arbitrary, allowing for the discussion of all possible inertial and gravitational field configurations. In this…

General Relativity and Quantum Cosmology · Physics 2013-12-04 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

Within the framework of optical Dirac theory, we present a field-theoretical model of spin-orbit interaction and photonic spin/orbit Hall effects. Our approach reformulates light propagation along helical paths as solving the Maxwell…

Optics · Physics 2025-07-04 Lili Yang , Longlong Feng

Einstein-Cartan theory is formulated in (1+2)-dimensions using the algebra of exterior differential forms. A Dirac spinor is coupled to gravity and the field equations are obtained by a variational principle. The space-time torsion is found…

General Relativity and Quantum Cosmology · Physics 2010-02-05 T. Dereli , N. Ozdemir , O. Sert

We review the application of torsion in field theory. First we show how the notion of torsion emerges in differential geometry. In the context of a Cartan circuit, torsion is related to translations similar as curvature to rotations.…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Friedrich W. Hehl , Yuri N. Obukhov

Stimulated generally by recent interest in the novel spin Hall effect, the nonrelativistic quantum mechanical conserved currents, taken into account of spin-orbit coupling, are rigorously formulated based on the symmetries of system and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Yong Wang , Ke Xia , Zhao-Bin Su , Zhongshui Ma

Quantum dot spin valves are characterized by exchange fields which induce spin precession and generate current spin resonances even in absence of spin splitting. Analogous effects have been studied in double quantum dots, in which the…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Christoph Rohrmeier , Andrea Donarini
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