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Mixed Number Lorentz Transformation

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<p>We present a quantity called Mixed number which is the sum of a scalar and a vector quantity. We have developed a Mixed number Lorentz transformation using Mixed number. Most general Lorentz transformation has some limitations but Mixed number Lorentz transformation is free from those limitations. We have applied Mixed number Lorentz transformation in the following different cases -  i)Relativistic aberration   ii)Reflection of light by a moving mirror   iii)Relativistic Doppler's effect  iv)Transformation of the characteristics of  a wave   The phenomenon of  Relativistic aberration,  Reflection of light by a moving mirror,  Relativistic Doppler's effect and  Transformation of the characteristics of  a wave have been  clearly explained by special and most general  Lorentz transformation  and by Mixed number Lorentz transformation.  Using Mixed number Lorentz transformation we have observed that the formulae of relativistic aberration, reflection of light by a moving mirror, relativistic Doppler's effect and transformation of the characteristics of a wave are simpler than the formulae given by most general Lorentz transformation.  </p><br/><p>Md. Didar Chowdhury is an Assistant Professor, Department of Physics, Govt. Teachers' Training College, Sylhet, Bangladesh. Mr. Chowdhury completed his B.Sc (Honours) and M.Sc in Physics from Shahjalal University of Science and Technology (SUST), Sylhet, Bangladesh and he did his PhD also from SUST. </p>

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