Abstract:
Physical (covariant and measurable) coordinates of free particles and covariant
coordinates of the center of mass of a system of particles are found for the three
basic forms of relativistic dynamics. For a system of two directly interacting
particles in the point form of dynamics, covariant coordinates are found and the
equations of motion reduced to a manifestly covariant form. These equations are
generalized to the case of interaction of the particles with an external electromagnetic
field.
Citation:
S. N. Sokolov, “Coordinates in relativistic Hamiltonian mechanics”, TMF, 62:2 (1985), 210–221; Theoret. and Math. Phys., 62:2 (1985), 140–148
This publication is cited in the following 15 articles:
B. Desplanques, Y. B. Dong, “RQM description of PS meson form factors, constraints from space-time translations and underlying dynamics”, Eur. Phys. J. A, 47:1 (2011)
B. Desplanques, “RQM description of the charge form factor of the pion and its asymptotic behavior”, Eur. Phys. J. A, 42:2 (2009)
B. Desplanques, Y. B. Dong, “Form factors in RQM approaches: Constraints from space-time translations”, Eur. Phys. J. A, 37:1 (2008), 33
B. Desplanques, “Properties of few-body systems in relativistic quantum mechanics and constraints from transformations under Poincaré space-time translations”, Nuclear Physics A, 790:1-4 (2007), 578c
Y.B. Dong, “The E1+/M1+ and S1+/M1+ ratios of γN→Δ(1232) with a point-form relativistic quantum mechanics”, Physics Letters B, 638:4 (2006), 333
B. Desplanques, “Dirac's inspired point form and hadron form factors”, Nuclear Physics A, 755 (2005), 303
B. Desplanques, “Relativistic quantum mechanics: a Dirac's point-form inspired approach”, Nuclear Physics A, 748:1-2 (2005), 139
B. DESPLANQUES, “NUCLEON AND PION FORM FACTORS IN DIFFERENT FORMS OF RELATIVISTIC KINEMATICS”, Int. J. Mod. Phys. A, 20:08n09 (2005), 1601
B. Desplanques, L. Theußl, “Form factors in the “point form” of relativistic quantum mechanics: Single- and two-particle currents”, Eur. Phys. J. A, 21:1 (2004), 93
L. Theußl, A. Amghar, B. Desplanques, S. Noguera, Few-Body Systems, 14, Few-Body Problems in Physics '02, 2003, 393
A. Amghar, B. Desplanques, L. Theußl, “The form factor of the pion in “point-form” of relativistic dynamics revisited”, Physics Letters B, 574:3-4 (2003), 201
A. Amghar, B. Desplanques, L. Theußl, “Comparison of form factors calculated with different expressions for the boost transformation”, Nuclear Physics A, 714:1-2 (2003), 213
R. P. Gaida, V. I. Tretyak, Yu. G. Yaremko, “Center-of-mass variables in the relativistic Lagrangian dynamics of a system of particles”, Theoret. and Math. Phys., 101:3 (1994), 1443–1453
L. L. Frankfurt, M. I. Strikman, L. Mankiewicz, M. Sawicki, “Angular-momentum constraints in the light-cone quantum mechanics of the nucleon-nucleon system”, Few-Body Systems, 8:2 (1990), 37
N. P. Klepikov, “Uniqueness Theorem for the Relativistic Center of a System of Events”, Annalen der Physik, 499:5 (1987), 313
Citation in format AMSBIB
Contact us: