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

Journal Article · · Physics of Atomic Nuclei
 [1]
  1. Joint Institute for Nuclear Research, Laboratory of Information Technologies (Russian Federation)

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.

OSTI ID:
22212652
Journal Information:
Physics of Atomic Nuclei, Vol. 76, Issue 10; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
Country of Publication:
United States
Language:
English

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