scholarly journals The Lambert W function and quantum statistics

2009 ◽  
Vol 50 (10) ◽  
pp. 102103 ◽  
Author(s):  
S. R. Valluri ◽  
M. Gil ◽  
D. J. Jeffrey ◽  
Shantanu Basu
Keyword(s):  
Quantum Statistics ◽  
Lambert W Function

Quantum statistics of a laser cooled ideal gas

1994 ◽  
Vol 72 (19) ◽  
pp. 2977-2980 ◽  
Author(s):  
J. I. Cirac ◽  
M. Lewenstein ◽  
P. Zoller
Keyword(s):  
Ideal Gas ◽  
Quantum Statistics

scholarly journals Simplified Lambert W-Function Math Equations When Applied to Photovoltaic Systems Modeling

2021 ◽  
Vol 57 (2) ◽  
pp. 1779-1788
Author(s):  
Santiago Pindado ◽  
Elena Roibas-Millan ◽  
Javier Cubas ◽  
Jose Miguel Alvarez ◽  
Daniel Alfonso-Corcuera ◽  
...  
Keyword(s):  
Lambert W Function ◽  
Photovoltaic Systems ◽  
Systems Modeling

scholarly journals Winding Numbers, Unwinding Numbers, and the Lambert W Function

2021 ◽  
Author(s):  
A. F. Beardon
Keyword(s):  
Complex Plane ◽  
Complex Number ◽  
Lambert W Function ◽  
Complex Numbers ◽  
Winding Number ◽  
Line Integral ◽  
Complex Functions

AbstractThe unwinding number of a complex number was introduced to process automatic computations involving complex numbers and multi-valued complex functions, and has been successfully applied to computations involving branches of the Lambert W function. In this partly expository note we discuss the unwinding number from a purely topological perspective, and link it to the classical winding number of a curve in the complex plane. We also use the unwinding number to give a representation of the branches $$W_k$$ W k of the Lambert W function as a line integral.

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