Lie Systems: Theory, Generalisations, and Applications
by J.F. Carinena, J. de Lucas
Publisher: arXiv 2011
Number of pages: 163
Description:
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping: the so-called superposition rule.
Download or read it online for free here:
Download link
(1.5MB, PDF)
Similar books
Feynman Diagrams and Differential Equationsby Mario Argeri, Pierpaolo Mastrolia - arXiv
The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.
(14761 views)
An Introduction to Hyperbolic Analysisby Andrei Khrennikov, Gavriel Segre - arXiv
Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane; etc.
(13830 views)
Elements for Physics: Quantities, Qualities, and Intrinsic Theoriesby Albert Tarantola - Springer
Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.
(18134 views)
Classical and Quantum Mechanics via Lie algebrasby Arnold Neumaier, Dennis Westra - arXiv
This book presents classical, quantum, and statistical mechanics in an algebraic setting, thereby introducing mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie groups.
(15618 views)