**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

**Introduction to Spectral Theory of SchrÃ¶dinger Operators**

by

**A. Pankov**-

**Vinnitsa State Pedagogical University**

Contents: Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; etc.

(

**9464**views)

**LieART: A Mathematica Application for Lie Algebras and Representation Theory**

by

**Robert Feger, Thomas W. Kephart**-

**arXiv**

We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations.

(

**10390**views)

**Mathematical Physics II**

by

**Boris Dubrovin**-

**SISSA**

These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.

(

**17375**views)

**Tensor Techniques in Physics: a concise introduction**

by

**Roy McWeeny**-

**Learning Development Institute**

Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).

(

**13767**views)