Progress of Theoretical Physics Vol. 32 No. 2 (1964) pp. 183–189 Structure of the Spectra of Disordered Systems. I Jun-ichi Hori and Hirotsugu Matsuda Progress of Theoretical Physics Supplement No.53 (1973) pp. 1–76 Coherent Potential Approximation Fumiko Yonezawa and Kazuo Morigaki
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Jun-ichi Hori (1964) studied this question.