Interpolation Between the Instant Form and the Front Form of Relativistic Dynamics

2017 ◽  
Vol 58 (2) ◽  
Author(s):  
Chueng-Ryong Ji
2014 ◽  
Vol 55 (5-7) ◽  
pp. 425-434
Author(s):  
Chueng-Ryong Ji ◽  
Bernard L. G. Bakker ◽  
Ziyue Li ◽  
Alfredo T. Suzuki

2015 ◽  
Vol 92 (10) ◽  
Author(s):  
Ziyue Li ◽  
Murat An ◽  
Chueng-Ryong Ji
Keyword(s):  

1996 ◽  
Vol 54 (2) ◽  
pp. 495-506 ◽  
Author(s):  
Michael G. Fuda ◽  
Yingfang Zhang

2012 ◽  
Vol 27 (28) ◽  
pp. 1250163 ◽  
Author(s):  
MARÍA GÓMEZ-ROCHA

In this paper, we derive the unitary transformation that relates the [Formula: see text] chiral basis {R;IJPC} to the {I;2S+1LJ}-basis in a front-form framework. From the most general expression for the Clebsch–Gordan coefficients of the Poincaré group one can see that the chiral limit brings the angular momentum coupling into a simple form that permits the relation in terms of SU(2) Clebsch–Gordan coefficients. We demonstrate that such a transformation is identical to the one obtained for canonical spin in the instant form.


2001 ◽  
Vol 16 (30) ◽  
pp. 4865-4889 ◽  
Author(s):  
A. NAZARENKO

The Hamiltonian formulation of relativistic system of charged particles plus electromagnetic field in the Dirac instant and front forms of dynamics is considered. The canonical realization of the Poincaré algebra in the terms of gauge-invariant variables is found. The procedure of elimination of the field degrees of freedom within the framework of the Dirac constraint theory is elaborated up to the first order in the coupling constant. The Poincaré generators in the terms of particle variables are obtained. The relations between the instant form generators and front form ones are examined. The instant form Hamiltonian in the weak-relativistic approximation results in the Darwin Hamiltonian.


2003 ◽  
Vol 33 (1) ◽  
pp. 27-47 ◽  
Author(s):  
B. L. G. Bakker ◽  
M. van Iersel ◽  
F. Pijlman
Keyword(s):  

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