Siewert solutions of transcendental equations, generalized Lambert functions and physical applications

Siewert solutions of transcendental equations, generalized Lambert functions and physical... AbstractSeveral classes of transcendental equations, mainly eigenvalue equations associated to non-relativistic quantum mechanical problems, are analyzed. Siewert’s systematic approach of such equations is discussed from the perspective of the new results recently obtained in the theory of generalized Lambert functions and of algebraic approximations of various special or elementary functions. Combining exact and approximate analytical methods, quite precise analytical outputs are obtained for apparently untractable problems. The results can be applied in quantum and classical mechanics, magnetism, elasticity, solar energy conversion, etc. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Physics de Gruyter

Siewert solutions of transcendental equations, generalized Lambert functions and physical applications

Open Physics , Volume 16 (1): 11 – May 24, 2018

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Publisher
De Gruyter
Copyright
© 2018 Victor Barsan, published by De Gruyter
ISSN
2391-5471
eISSN
2391-5471
D.O.I.
10.1515/phys-2018-0034
Publisher site
See Article on Publisher Site

Abstract

AbstractSeveral classes of transcendental equations, mainly eigenvalue equations associated to non-relativistic quantum mechanical problems, are analyzed. Siewert’s systematic approach of such equations is discussed from the perspective of the new results recently obtained in the theory of generalized Lambert functions and of algebraic approximations of various special or elementary functions. Combining exact and approximate analytical methods, quite precise analytical outputs are obtained for apparently untractable problems. The results can be applied in quantum and classical mechanics, magnetism, elasticity, solar energy conversion, etc.

Journal

Open Physicsde Gruyter

Published: May 24, 2018

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