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Although there are many proposals of relativistic spin observables, there is no agreement about the adequate definition of this quantity. This problem arises from the fact that, in the present literature, there is no consensus concerning…

Quantum Physics · Physics 2021-02-03 E. R. F. Taillebois , A. T. Avelar

Spin is an important quantum degree of freedom in relativistic quantum information theory. This paper provides a first-principles derivation of the observable corresponding to a Stern-Gerlach measurement with relativistic particle velocity.…

Quantum Physics · Physics 2013-07-09 Matthew C. Palmer , Maki Takahashi , Hans F. Westman

We present a new treatment for the spin of a massive relativistic particle in the context of quantum information based on a physical interpretation of the Wigner rotations, obtaining different results in relation to the previous works. We…

Quantum Physics · Physics 2012-02-28 Pablo L. Saldanha , Vlatko Vedral

A relativistic spin operator is to be the difference between the total and orbital angular momentum. As the unique position operator for a localized state, the remarkable Newton-Wigner position operator, which has all desirable commutation…

Quantum Physics · Physics 2014-12-02 Taeseung Choi

Entanglement is studied in the framework of Dyson's S-matrix theory in relativistic quantum field theory, which leads to a natural definition of entangled states of a particle-antiparticle pair and the spin operator from a Noether current.…

Quantum Physics · Physics 2015-06-18 Kazuo Fujikawa , C. H. Oh , Chengjie Zhang

Although the spin is regarded as a fundamental property of the electron, there is no universally accepted spin operator within the framework of relativistic quantum mechanics. We investigate the properties of different proposals for a…

Quantum Physics · Physics 2014-04-14 Heiko Bauke , Sven Ahrens , Christoph H. Keitel , Rainer Grobe

The state of a particle in space and time is characterized by its mass and spin, which therefore determine the inertial properties of the particle. The coupling of intrinsic spin with rotation is examined and the corresponding inertial…

Quantum Physics · Physics 2009-11-11 Bahram Mashhoon , Helmut Kaiser

The majority of current understanding of the quantum correlations is in the field of non-relativistic quantum mechanics. To develop quantum information and computation tasks fully, one must inevitably take into account the relativistic…

Quantum Physics · Physics 2024-04-26 Shrobona Bagchi

Various spin effects are expected to become observable in light-matter interaction at relativistic intensities. Relativistic quantum mechanics equipped with a suitable relativistic spin operator forms the theoretical foundation for…

Quantum Physics · Physics 2016-07-27 Heiko Bauke , Sven Ahrens , Christoph H. Keitel , Rainer Grobe

We introduce and study the generalized Wigner operator. By definition, such an operator transforms the Wigner wave function into a local relativistic field corresponding to an irreducible representation of the Poincar\'e group by extended…

High Energy Physics - Theory · Physics 2023-04-13 I. L. Buchbinder , A. P. Isaev , M. A. Podoinitsyn , S. A. Fedoruk

The spin is the prime example of a qubit. Encoding and decoding information in the spin qubit is operationally well defined through the Stern-Gerlach set-up in the non-relativistic (i.e., low velocity) limit. However, an operational…

Quantum Physics · Physics 2019-09-04 Flaminia Giacomini , Esteban Castro-Ruiz , Časlav Brukner

The problem of the position and spin in relativistic quantum mechanics is analyzed in detail. It is definitively shown that the position and spin operators in the Foldy-Wouthuysen representation (but not in the Dirac one) are…

Quantum Physics · Physics 2020-04-16 Liping Zou , Pengming Zhang , Alexander J. Silenko

Since the discovery a century ago, spin describing the intrinsic angular momentum of massive elementary particles has exposed its nature and significant roles in wide ranges of (relativistic) quantum phenomena and practical applications for…

Quantum Physics · Physics 2016-10-12 Taeseung Choi , Sam Young Cho

We discuss relations between several relativistic spin observables and derive a Lorentz-invariant characteristic of a reduced spin density matrix.A relativistic position operator that satisfies all the properties of its nonrelativistic…

High Energy Physics - Theory · Physics 2016-12-28 Lucas C. Céleri , Vasilis Kiosses , Daniel R. Terno

The behavior of an electron spin interacting with a linearly polarized laser field is analyzed. In contrast to previous considerations of the problem, the initial state of the electron represents a localized wave packet, and a spatial…

Quantum Physics · Physics 2020-08-12 I. A. Aleksandrov , D. A. Tumakov , A. Kudlis , V. M. Shabaev , N. N. Rosanov

This paper aims at studying the spin once again. The departure point is thus the Stern and Gerlach experimental results that can be described in a coherent way in the frame of quantum mechanics only. Instead, the relativistic mechanics…

History and Philosophy of Physics · Physics 2024-08-20 Stefan Catheline

We give a direct link between description of Dirac particles in the abstract framework of unitary representation of the Poincar\'e group and description with the help of the Dirac equation. In this context we discuss in detail the spin…

Mathematical Physics · Physics 2012-06-15 Paweł Caban , Jakub Rembieliński , Marta Włodarczyk

Particle spin polarization is known to be linked both to rotation (angular momentum) and magnetization of a many particle system. However, in the most common formulation of relativistic kinetic theory, the spin degrees of freedom appear…

Nuclear Theory · Physics 2021-08-04 Leonardo Tinti , Wojciech Florkowski

Different operators have been suggested in the literature to describe the electron's spin degree of freedom within the relativistic Dirac theory. We compare concrete predictions of the various proposed relativistic spin operators in…

Quantum Physics · Physics 2014-05-06 Heiko Bauke , Sven Ahrens , Christoph H. Keitel , Rainer Grobe

We consider a massive particle of arbitrary spin and the basis vectors that carry the unitary, irreducible representations of the Poincar\'e group. From the complex coefficients in normalizable superpositions of these basis vectors, we…

Quantum Physics · Physics 2018-04-03 Scott E. Hoffmann
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