3 papers
physics.gen-ph2017
Concept of semi-velocity and related wave equation
Robert M. Yamaleev
The semi-velocity is defined as an exponential function of the rapidity. Physically the semi-velocity is interpreted as the relativistic analogue of the phase velocity, a geometric…
math-ph2012
Summation formula for solutions of Riccati-Abel equation
Robert M. Yamaleev
The generalized Riccati equation defined as an equation between first order derivative and the cubic polynomial is named Riccati-Abel equation. Unlike solutions of ordinary Riccati…
math-ph2009
From light-speed state to the rest: new representation for energy-momentum
Robert M. Yamaleev
In this paper, we introduce a new concept of rapidity and define formulae for energy and momentum as functions of the new rapidity, we denominate "counter-rapidity". The correspodi…