N ov 2 00 5 Not So Classical Mechanics – Unexpected Symmetries of Classical Motion

N ov 2 00 4 On entropic quantities related to the classical capacity of infinite dimensional quantum channels

nt - p h / 03 11 02 1 v 1 5 N ov 2 00 3 The Equation of Motion of an Electron

The claim by Rohrlich that the Abraham-Lorentz-Dirac equation is not the correct equation for a classical point charge is shown to be incorrect and it is pointed out that the equation which he proposes is the equation derived by Ford and O'Connell for a charge with structure. The quantum-mechanical case is also discussed.

ar X iv : h ep - t h / 04 09 18 0 v 3 2 8 O ct 2 00 4 Yangian Symmetries of Matrix Models and Spin Chains : The Dilatation Operator of N = 4 SYM

We present an analysis of the Yangian symmetries of various bosonic sectors of the dilatation operator of N = 4 SYM. The analysis is presented from the point of view of Hamiltonian matrix models. In the various SU (n) sectors, we give a modified presentation of the Yangian generators, which are conserved on states of any size. A careful analysis of the Yan-gian invariance of the full SO(6) sect...

Symmetries in Physical World

II Symmetries in Classical Particle Mechanics 4 1 Hamiltonian and Lagrangian Formulations of Classical Particle Mechanics 5 1.1 Basic De nitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.1 Constraints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.2 Virtual Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.1.3 Generalized...

N ov 2 00 5 Derivations and 2 - Cocycles of Contact Lie Algebras Related to Locally - Finite Derivations

Abstract. Classical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. Xu introduced a large category of contact simple Lie algebras which are related to locally finite derivations and are in general not finitely graded. The isomorphism classes of these Lie algebras were determined in a previous pape...