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Title: Klein-Gordon equations for energy-momentum of the relativistic particle in rapidity space

The notion of four-rapidity is defined as a four-vector with one time-like and three space-like coordinates. It is proved, the energy and momentum defined in the space of four-rapidity obey Klein-Gordon equations constrained by the classical trajectory of a relativistic particle. It is shown, for small values of a proper mass influence of the constraint is weakened and the classical motion gains features of a wave motion.
Authors:
 [1]
  1. Joint Institute for Nuclear Research, Laboratory of Information Technologies (Russian Federation)
Publication Date:
OSTI Identifier:
22212652
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 76; Journal Issue: 10; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GAIN; KLEIN-GORDON EQUATION; MASS; PARTICLE RAPIDITY; PARTICLES; RELATIVISTIC RANGE; SPACE; VECTORS