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Copyright 2004 by Marcel Dekker, Inc. All Rights Reserved.

Copyright 2004 by Marcel Dekker, Inc. All Rights Reserved.

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The respective wave functions areC 2 ðr e ; r h Þ ¼ C #; 3=2 ðr e ; r h Þ ð17ÞC 2 ðr e ; r h Þ ¼ C z;3=2 ðr e ; r h ÞThe energies and size dependences of the two levels, each with total momentumprojection jFj = 1, are given <strong>by</strong> [3]sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffie U;L1¼ g 2 F ð2g DÞ 2þ 3g42ð18Þwhere U and L correspond to the upper (‘‘+’’) or lower (‘‘ ’’) signs,respectively. We denote these states <strong>by</strong> F1 U and F1 L , respectively (i.e., theupper and lower state with projection F = F1). The corresponding wavefunctions for the states with F = +1 are*C U 1 ðr e; r h Þ ¼iC þ C z;1=2 ðr e ; r h Þ þ C C #;3=2 ðr e ; r h ÞC L 1 ðr e; r h Þ ¼ þiC C z;1=2 ðr e ; r h Þ þ C þ C #;3=2 ðr e ; r h Þð19Þwhereas for the states with F =1, the wave functions areC U 1 ðr e; r h Þ ¼ iC C z; 3=2 ðr e ; r h Þ C þ C #; 1=2 ðr e ; r h ÞC L 1 ðr e; r h Þ ¼ þiC þ C z; 3=2 ðr e ; r h Þ þ C C #; 1=2 ðr e ; r h Þð20ÞwhereC F ¼pffiffiffiffiffiffiffiffiffiffiffiffiffi! 1=2f 2 dFfpffiffiffiffiffiffiffiffiffiffiffiffiffið21Þ2 f 2 df = ( 2g + D)/2, and d = 3g 2 . The size-dependent energies of the two F = 0exciton levels are given <strong>by</strong>e U;L0¼ g 2 þ D F2g ð22Þ2(we denote the two F = 0 states <strong>by</strong> 0 U and 0 L ), with corresponding wavefunctions0ðr e ; r h Þ ¼ p 1 ffiffi ½biC z; 1=2 ðr e ; r h Þ þ C #;1=2 ðr e ; r h ÞŠ ð23Þ2C U;L* There are misprints in the function definitions of Eqs. (19) and (20) of Ref. 3.<strong>Copyright</strong> <strong>2004</strong> <strong>by</strong> <strong>Marcel</strong> <strong>Dekker</strong>, <strong>Inc</strong>. <strong>All</strong> <strong>Rights</strong> <strong>Reserved</strong>.

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