By Salencon J.
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3. Note that due to the small effective reduced mass of the exciton and the large dielectric constants in the case of II-VI compounds, the radii of the exciton states will be much larger than the corresponding hydrogen state radii. Hence since spin-orbit and spin-spin coupling is proportional to r~3 and thus quite small, it is legitimate to write the magnetic field per turbations in the preceding Paschen-Back limit. The last three terms are the K · P term, the K · A term due to the magnetic field and the K2 term, re spectively.
34) to eliminate the cross terms of K · Vp, L/(ß) must satisfy the equation -^-j)um '{ε-Ε<·-Ε"-2ίΜ^υ9>·αΐ5> where EG = Ec — Ey and μ is the reduced mass of the exciton. Since the operator on the left of Eq. 35) is the hydrogenic operator, the eigenvalues have the form where v represents the quantum numbers associated with the hydrogenic problem, n is the principle quantum number, and the last term of Eq. 36) is the kinetic energy of the exciton. 2. 27 THE INTRINSIC EXCITON form γ l/ v (ß) 110) where M0 is the Hamiltonian for the exciton in the absence of an external magnetic field, and M\ and Jf q are the terms linear and quadratic in magnetic field, respectively. In the low field regime the solutions to Eq. 1 In the high field region, the solution of Eq. 112) where the Ly are the linear coefficients for the Landau-type solutions. t Chapter 4 deals with intrinsic excitons; solutions to the intermediate field regime in this chapter were obtained by a phenomenological approach. The theory of Bajaj and Aldrich has now been used to obtain solutions in this magnetic field region.