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R. M. Yamaleev, “Com-plex Algebras on N-order Polynomials and Generalizations of Trigonometry, Oscillator Model and Hamilton Dynamics,” Advances in Applied Clifford Algebras, Vol. 15, No. 1, 2005, pp. 123-125.

has been cited by the following article:

• TITLE: Formulae for Energy and Momentum of Relativistic Particle Regular at Zero-Mass State

  AUTHORS: Robert M Yamaleev

  KEYWORDS: Relativistic Dynamics, Complex Algebra, Rapidity, Energy-Momentum, Background Energy, Statistical Thermodynamics.

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.8, August 9, 2011

  ABSTRACT: In this paper we substantiate a necessity of introduction of a concept the counterpart of rapidity into the framework of relativistic physics. It is shown, formulae for energy and momentum defined via counterpart of rapidity are regular near the zero-mass and speed of light states. The representation for the energy-momentum is realized as a mapping from the massless-state onto the massive one which looks like as a q-deformation. Quantization of the energy, momentum and the velocity near the light-speed is presaged. An analogue between the relativistic dynamics and the statistical thermodynamics of a micro-canonical ensemble is brought to light.