The effective mass of an electron can be derived from the energy band structure equation, particularly near the band minimum for electrons and the band maximum for holes. This derivation involves algebraic manipulation of the energy equation, as confirmed by resources such as the Colorado School of Mines lecture on solid-state physics. The relationship between kinetic energy and momentum is also crucial, where classical kinetic energy is expressed as 1/2 mv² and in quantum mechanics as p²/2m, with momentum defined as p = ħk.
PREREQUISITESStudents and professionals in solid-state physics, semiconductor researchers, and anyone interested in the mathematical derivation of effective mass in quantum mechanics.
Colorado School of mines have a comprehensive lecture in solid state physics. And describes this derivation of the effective mass using Newton's second law. http://solidstate.mines.edu/videonotes/VN_10_2.pdfM Quack said:
