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

Formulae for Energy and Momentum of Relativistic Particle Regular at Zero-Mass State
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摘要 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. 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.
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出处 《Journal of Modern Physics》 2011年第8期849-856,共8页 现代物理(英文)
关键词 RELATIVISTIC Dynamics Complex ALGEBRA RAPIDITY ENERGY-MOMENTUM Background ENERGY Statistical Thermodynamics. Relativistic Dynamics Complex Algebra Rapidity Energy-Momentum Background Energy Statistical Thermodynamics.
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