7 citations · 12 across the 6 of their papers we have counts for
6 papers
Quaternion Space-Time and Matter
Viktor Ariel
In this work, we use the concept of quaternion time and demonstrate that it can be applied for description of four-dimensional space-time intervals. We demonstrate that the quatern…
The Real Quaternion Relativity
Viktor Ariel
In this work, we use real quaternions and the basic concept of the final speed of light in an attempt to enhance the standard description of special relativity. First, we demonstra…
Quaternion Time, Mass, and Particle Velocity
Viktor Ariel
In this work, we propose using real quaternions for the definition of the time interval resulting in an alternative formulation of the relativistic space-time. We proceed with the…
Anisotropic Effective Mass
Viktor Ariel
In this work, we derive a three-dimensional effective mass that is suitable for treatment of electrons in anisotropic semiconductors. We show that it is possible to define a scalar…
Energy Band Model Based on Effective Mass
Viktor Ariel
In this work, we demonstrate an alternative method of deriving an isotropic energy band model using a one-dimensional definition of the effective mass and experimentally observed d…
Effective Mass and Energy-Mass Relationship
Viktor Ariel
The particle effective mass is often a challenging concept in solid state physics due to the many different definitions of the effective mass that are routinely used. Also, the mos…