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Theory of a Wave Function within a Band and A New Process for Calculation of the Band Energy
並列摘要
Derived from the first principle, a dynamical theorem in form of an operator equation is proved fcr a wave function within a band and its inverse theorem is also proved. New process is devised for the calculation of the band energy in analytic form in terms of crystal momentum. Further we have shown that this new process is an h-independent process. The effective mass is derived as a dynamical variable (an observable) from the above theorems and regarded as an intrinsic quantity correct only within a band. Finally, we apply the theory to calculate the band energies of free electron, hydrogen atom and hydrogen solid.
並列關鍵字
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