scholarly journals Relativistic spin operator must be intrinsic

2021 ◽  
Vol 392 ◽  
pp. 127166
Author(s):  
E.R.F. Taillebois ◽  
A.T. Avelar
Keyword(s):  
Spin Operator ◽  
Relativistic Spin

Relativistic Spin 4-vector and Spin Operator

2021 ◽  
Vol 71 (12) ◽  
pp. 1076-1081
Author(s):  
Yeong Deok HAN*
Keyword(s):  
Spin Operator ◽  
Relativistic Spin

scholarly journals Relativistic three-partite non-locality

2016 ◽  
Vol 14 (02) ◽  
pp. 1650008 ◽  
Author(s):  
Hooman Moradpour ◽  
Afshin Montakhab
Keyword(s):  
Spin Operator ◽  
Particle Systems ◽  
Moving Frame ◽  
W States ◽  
Relativistic Spin ◽  
Local Quantum ◽  
Different Types ◽  
Non Local ◽  
Pure States ◽  
Non Locality

Bell-like inequalities have been used in order to distinguish non-local quantum pure states by various authors. The behavior of such inequalities under Lorentz transformation (LT) has been a source of debate and controversies in the past. In this paper, we consider the two most commonly studied three-particle pure states, that of W and Greenberger–Horne–Zeilinger (GHZ) states which exhibit distinctly different types of entanglement. We discuss the various types of three-particle inequalities used in previous studies and point to their corresponding shortcomings and strengths. Our main result is that if one uses Czachor’s relativistic spin operator and Svetlichny’s inequality as the main measure of non-locality and uses the same angles in the rest frame (S) as well as the moving frame ([Formula: see text]), then maximally violated inequality in S will decrease in the moving frame, and will eventually lead to lack of non-locality (i.e. satisfaction of inequality) in the [Formula: see text] limit. This is shown for both the GHZ and W states and in two different configurations which are commonly studied (Cases 1 and 2). Our results are in line with a more familiar case of two particle case. We also show that the satisfaction of Svetlichny’s inequality in the [Formula: see text] limit is independent of initial particles’ velocity. Our study shows that whenever we use Czachor’s relativistic spin operator, results draws a clear picture of three-particle non-locality making its general properties consistent with previous studies on two-particle systems regardless of the W state or the GHZ state is involved. Throughout the paper, we also address the results of using Pauli’s operator in investigating the behavior of [Formula: see text] under LT for both of the GHZ and W states and two cases (Cases 1 and 2). Our investigation shows that the violation of [Formula: see text] in moving frame depends on the particle’s energy in the lab frame, which is in agreement with some previous works on two and three-particle systems. Our work may also help us to classify the results of using Czachor’s and Pauli’s operators to describe the spin entanglement and thus the system spin in relativistic information theory.

scholarly journals Relativistic Spin Operator for Dirac Particles

1999 ◽  
Vol 31 (5) ◽  
pp. 775-780 ◽  
Author(s):  
Lewis H. Ryder
Keyword(s):  
Spin Operator ◽  
Dirac Particles ◽  
Relativistic Spin

scholarly journals What is the relativistic spin operator?

2014 ◽  
Vol 16 (4) ◽  
pp. 043012 ◽  
Author(s):  
Heiko Bauke ◽  
Sven Ahrens ◽  
Christoph H Keitel ◽  
Rainer Grobe
Keyword(s):  
Spin Operator ◽  
Relativistic Spin

scholarly journals PHYSICS OF GLUON HELICITY

2014 ◽  
Vol 25 ◽  
pp. 1460028
Author(s):  
XIANGDONG JI ◽  
YONG ZHAO
Keyword(s):  
Matrix Element ◽  
Time Correlation ◽  
Spin Operator ◽  
Large Momentum ◽  
Time Correlation Functions ◽  
Gauge Invariant ◽  
Equal Time ◽  
Polarized Proton ◽  
Gluon Spin ◽  
Gluon Helicity

The total gluon helicity in a polarized proton is shown to be a matrix element of a gauge-invariant but nonlocal, frame-dependent gluon spin operator [Formula: see text] in the large momentum limit. The operator [Formula: see text] is fit for the calculation of the total gluon helicity in lattice QCD. This calculation also implies that parton physics can be studied through the large momentum limit of frame-dependent, equal-time correlation functions of quarks and gluons.

scholarly journals General-relativistic spin system

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Danilo Artigas ◽  
Jakub Bilski ◽  
Sean Crowe ◽  
Jakub Mielczarek ◽  
Tomasz Trześniewski
Keyword(s):  
Spin System ◽  
Relativistic Spin ◽  
General Relativistic

scholarly journals Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles

2007 ◽  
Vol 75 (4) ◽  
Author(s):  
P. Alberto ◽  
A. S. de Castro ◽  
M. Malheiro
Keyword(s):  
Relativistic Spin
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