**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

**A Mathematics Primer for Physics Graduate Students**

by

**Andrew E. Blechman**

The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.

(

**22438**views)

**Lie Groups in Physics**

by

**G. 't Hooft, M. J. G. Veltman**-

**Utrecht University**

Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.

(

**13577**views)

**Lectures on Nonlinear Waves And Shocks**

by

**Cathleen S. Morawetz**-

**Tata Institute Of Fundamental Research**

Introduction to certain aspects of gas dynamics concentrating on some of the most important nonlinear problems, important not only from the engineering or computational point of view but also because they offer great mathematical challenges.

(

**7624**views)

**An Introduction to Topos Physics**

by

**Marios Tsatsos**-

**arXiv**

The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can give rise to new descriptions of quantum physics.

(

**8519**views)