## Non-smooth mechanics

**wikipedia.org**|

## Dirac delta function

Relationship to the Kronecker delta 10 Applications to probability theory 11 Application to quantum **mechanics** 12 Application to structural **mechanics** 13 Notes 14 See also 15 References 16 External links [ edit ] Overview The graph of the delta function is usually thought

**wikipedia.org**| 2011/6/9 4:06:23

## Nambu mechanics

In mathematics , Nambu dynamics is a generalization of Hamiltonian **mechanics** involving multiple Hamiltonians. Recall that Hamiltonian **mechanics** is based upon the flows generated by a **smooth** Hamiltonian over a symplectic manifold . The flows are symplectomorphisms and hence obey Liouville

**wikipedia.org**| 2011/5/10 1:38:47

## Lie group

a differentiable manifold , with the property that the group operations are compatible with the **smooth** structure . Lie groups are named after Sophus Lie , who laid the foundations of the theory of continuous transformation groups . Lie groups represent the best-developed theory of continuous

**wikipedia.org**| 2011/7/16 7:05:43

## Frictional contact mechanics

Frictional contact **mechanics** is concerned with a large range of different scales. At the macroscopic scale, it is applied for the investigation of the motion of contacting bodies (see Contact dynamics ). For instance the bouncing of a rubber ball on a surface depends on the frictional interaction

**wikipedia.org**| 2011/5/25 9:45:48

## Curvilinear coordinates

In two dimensional Cartesian coordinates , we can represent a point in space by the coordinates ( x 1 , x 2 ) and in vector form as where are basis vectors . We can describe the same point in curvilinear coordinates in a similar manner, except that the coordinates are now ( ξ 1 ,ξ 2 ) and

**wikipedia.org**| 2011/9/12 1:49:36

## Perturbation theory (quantum mechanics)

In quantum **mechanics** , perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add

**wikipedia.org**| 2011/10/4 20:01:01