Analytical description of the emission spectra of standing large-radius excitons in crystals of group iv elements, boron-doped
Abstract
The author formulated the principles of the cumulative quantum mechanics (CQM). CQM describes: 1) unlimited cumulation of symmetric ψn_½- electron function of the de Broglie waves (with a spectrum En_½ ~±(n-½)±2) captured potentials in spherical and cylindrical hollow cavities, 2) the polarization quantum-dimensional effects, 3) the Vysikaylo’s split of the quantum level with principal quantum number п into two sublevels (with ψn and with ψn_½) with the splitting energy ΔEn_½,n ~ n-¼ in the case of the barrier, and with ΔEn_½,n =13.56-(n-¼)/ε2(n-1/2)2n2 [eV] for the potential well with U(r)~1/εr); and 4) spectra of the transitions between states with different symmetry of ψ-functions (ψn→ψn_1/2) in the superlattices of standing excitons in IV group crystals, B-doped.
Keywords
кумулятивная квантовая механика,
квантовый резонатор,
полая молекула фуллерена,
поляризационные квантово-размерные эффекты,
симметричные и асимметричные ψ-функции,
расщепление уровня на два,
cumulative quantum mechanics,
quantum resonator,
hollow fullerene molecule,
polarization quantum size effects,
symmetric and asymmetric ψ-function,
the level splitting in two
About the Author
Ph. I. Vysikaylo
Moscow Radio Engineering Institute; Technological Institute for Superhard and Novel Carbon Materials
Russian Federation
Russian Federation
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