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- W2626691806 abstract "In this work, we propose applying hyper-complex numbers - quaternions - to the definition of the effective mass of relativistic particles and particles in non-parabolic semiconductors. We demonstrate that the quaternion definition of the effective mass generates the relativistic energy-momentum dispersion relation and absolute value of the relativistic particle mass. Then, we introduce a quaternion electromagnetic mass due to presence of electromagnetic interaction. Finally, we define the quaternion particle velocity. We apply this definition to non-parabolic isotropic semiconductor materials, such as InSb, and demonstrate electron velocity saturation at high electric fields. We compare the present model to experimentally measured electron velocity at high electric field in InSb. The results presented here seem to demonstrate an alternative approach to mathematical and physical concepts of special relativity." @default.
- W2626691806 created "2017-06-23" @default.
- W2626691806 creator A5009526490 @default.
- W2626691806 date "2017-06-13" @default.
- W2626691806 modified "2023-09-27" @default.
- W2626691806 title "Quaternion Effective Mass and Particle Velocity" @default.
- W2626691806 hasPublicationYear "2017" @default.
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