On the binding energy of wannier excitons in strong anisotropic crystals

Abstract

AbstractThe 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 A1/3 for m  0 and A1/2 for m ≠ 0.