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Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions
Actions Hierarchy of Attractive Nonlinear Oscillators the Quartic Oscillator 1+1 Dimensions Mathematical Physics
2012/4/23
In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of...
Relativistic analogue of the D'Alembert principle of virtual displacements and the effective actions for the spherically-symmetric charged dust shell in General Relativity
Relativistic analogue D'Alembert principle of virtual displacements effective actions spherically-symmetric charged dust shell General Relativity
2010/12/20
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...
Using the Wald's relation between the Noether charge of diffeomorphisms and the entropy for a generic spacetime possessing a bifurcation surface, we introduce a method to obtain a family of higher ord...