Some applications of the Lambert W function to physics

被引:258
作者
Valluri, SR [1 ]
Jeffrey, DJ [1 ]
Corless, RM [1 ]
机构
[1] Univ Western Ontario, London, ON N6A 5B7, Canada
关键词
D O I
10.1139/cjp-78-9-823
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Two standard physics problems are solved in terms of the Lambert W function, to show the applicability of this recently defined function to physics. Other applications of the function are cited, but not described. The problems solved concern Wien's displacement law and the fringing fields of a capacitor, the latter problem being representative of some problems solved using conformal transformations. The physical content of the solutions remains unchanged, but they gain a new elegance and convenience.
引用
收藏
页码:823 / 831
页数:9
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