Some applications of the Lambert W function to physics

By S. Valluri, David J. Jeffrey, Robert M Corless. Canadian journal of physics (Print), 2000

323 citations recorded by the source corpus.

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. PACS No.: 41.10F

Subfields: Biomedical Engineering, Computer Vision and Pattern Recognition, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9d3b9b94d45ac33645c27cc2a7cb010aff85784c

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In Biomedical Engineering

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Citations in the corpus

Regular Black Holes with Asymptotically Minkowski Cores (2019, background): “We find that in this toy model the resulting curvature tensors and curvature invariants are significantly simpler than for Bardeen/Hayward/Frolov, at the cost of having many physically interesting features defined by the Lambert W function, one of the special functions of mathematics [28–40].”
Explicit Expressions for Solar Panel Equivalent Circuit Parameters Based on Analytical Formulation and the Lambert W-Function (2014, methodology): “In previous studies some analytical methods for parameter calculation were successfully developed, the aim now being to simplify the equations (with more sophisticated mathematical tools such as the Lambert function [4,5]), and show how these algorithms can be used in a practical application: to mod”
Inflation after WMAP3: confronting the slow-roll and exact power spectra with CMB data (2006, methodology): “express φin terms of the number of e-folds: φ µ = v u u tW 0 ( φ in µ 2 exp " φ in µ 2 − N 2π m Pl µ 2#) . (122) Once again, W 0(x) denotes the principal branch of the Lambert function [74]. The above expression is very similar to equation (95), except for the signs. As for the other models”