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Limitation of Applicability of Einstein's Energy-Momentum Relationship

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Scientific Paper
TitleLimitation of Applicability of Einstein\'s Energy-Momentum Relationship
Read in fullLink to paper
Author(s)Koshun Suto
KeywordsSpecial Theory of Relativity, Einstein?fs energy-momentum relationship, Klein-Gordon equation, Dirac equation.
Published2005
JournalGeneral Science Journal
No. of pages12

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Abstract

When a particle moves through macroscopic space, for an isolated system, as its velocity increases, the kinetic energy and hence total energy of the particle will increase. However, according to classical quantum theory, when the momentum and kinetic energy of an electron inside a hydrogen atom increases, total energy decreases. From this truth, it is evident that the equation for Einstein's energy-momentum relationship does not hold true inside a hydrogen atom.