PHY3063 R. D. Field Department of Physics Chapter3_16.doc University of Florida Planck’s Theory (3) New Y(xa) Function: Now, 118)()(/5455−==axhaTaplanckexchkTxYπλρwhere xa= (kT) × (λ/c) = kx/c, has dimensions of “action”. Yplanckagrees perfectly with the data provided seVsJh⋅×=⋅×=−−153410136.410626.6Classical Limit: Note that )(8118)(445/545aclassicalahxxhaaplanckxYxckexchkxYaa=→−=>>. Calculate zmax: It is easier if we define y = 1/zand determine the maximum of Y(y)which occurs when 0)(=dyydFwhere 1)(5−=yeyyF, and y = h/xa. Thus, ymax= 1/zmaxis the solution of the following equation:
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This note was uploaded on 05/29/2011 for the course PHY 3063 taught by Professor Field during the Spring '07 term at University of Florida.