p-Adic strings are important objects of string theory, as well as of p-adic mathematical physics and nonlocal cosmology. By a concept of adelic string one can unify and simultaneously study various aspects of ordinary and p-adic strings. By this way, one can consider adelic strings as a very useful instrument in the further investigation of modern string theory. It is remarkable that for some s...

Adiscrete version of Lagrangian reduction is developed within the context of discrete time Lagrangian systems on G G, where G is a Lie group. We consider the case when the Lagrange function is invariantwith respect to the action ofan isotropysubgroup ofa¢xed element in the representation space of G. Within this context, the reduction of the discrete Euler^Lagrange equations is shown to lead to ...

Abstract Conformal geodesics are solutions to a system of third-order equations, which makes Lagrangian formulation problematic. We show how enlarging the class allowed variations leads variational for this with conformally invariant Lagrangian. also discuss fourth-order ODEs arising from and that some its integral curves spirals.

The most general N = 1 lagrangian for the spinning particle with local supersymmetry is introduced. Its dynamics system is quantised.

The immersed boundary (IB) method is a framework for modeling systems in which an elastic structure is immersed in a viscous incompressible fluid. The IB formulation of such problems describes the elasticity of the structure in Lagrangian form and describes the momentum, viscosity, and incompressibility of the fluid-structure system in Eulerian form. Interactions between Lagrangian and Eulerian...

Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In this paper we provide a systematic procedure for determiningNoether symmetries and conserved vectors for a Lagrangian constructed from a Loren...

Lagrangian and Hamiltonian formulations of a free spinning particle in 2+1-dimensions or anyon are established, following closely the analysis of Hanson and Regge. Two viable (and inequivalent) Lagrangians are derived. It is also argued that one of them is more favourable. In the Hamiltonian analysis non-triviaal Dirac Brackets of the fundamental variables are computed for both the models. Impo...

Massive scalar particle production, due to the anisotropic evolution of a five-dimensional spacetime, is considered in the context of a quadratic Lagrangian theory of gravity. Those particles, corresponding to field modes with non-vanishing momentum component along the fifth dimension, are created mostly in the neighbourhood of a singular epoch where only their high-frequency behaviour is of co...

The goal of this paper is to investigate jump conditions for unsteady small perturbations at impermeable interfaces, slip or bonded, plane or not, between fluids and structures in the presence of initial flow and prestress. Based on conservative equations obtained from a mixed Eulerian-Lagrangian description, interface conditions are first derived in an elegant and straightforward manner thanks...