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On the binding energy of wannier excitons in strong anisotropic crystals
Author(s) -
Gerlach B.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220790226
Subject(s) - anisotropy , exciton , limit (mathematics) , physics , condensed matter physics , binding energy , angular momentum , quantum limit , constant (computer programming) , quantum mechanics , quantum , mathematics , mathematical analysis , computer science , programming language
Abstract The strong anisotropic limit of the discrete energy‐values of excitons in uniaxial crystals is calculated. It is shown that all states of a given quantum number m of the z‐component of angular momentum approach the same limit – 4/(2 ∣ m ∣ + 1) 2 . First corrections to this value are discussed in terms of the anisotropy constant A ε⟂μ⟂/ε∥μ∥ They come out to be at most of order A 1 / 3 for m 0 and A 1 / 2 for m ≠ 0.