40 citations · 88 across the 9 of their papers we have counts for
9 papers
Wallis formula from the harmonic oscillator
Ignacio Cortese, J. Antonio García
We show that the asymptotic formula for , the Wallis formula, that was related with quantum mechanics and the hydrogen atom in \cite{HF}, can also be related to the harmonic osc…
Conformal Anisotropic Mechanics
Juan M. Romero, Vladimir Cuesta, J. Antonio Garcia +1
In this paper we implement scale anisotropic transformations in the space-time in classical mechanics. The resulting system is consistent with the dispersion relation of gravity at…
Comment on ''A path integral leading to higher-order Lagrangians, arXiv:0708.4351 [hep-th]''
Ignacio Cortese, J. Antonio Garcia
We show that the ``effective Lagrangian'' constructed in [1] is inconsistent with the exact result for the complete Lagrangian presented in [2]. We trace the origin of the inconsis…
DSR and Canonical Transformations: A Comment on a ``A Lagrangian for DSR particle and the role of noncommutativity''
J. Antonio Garcia
The aim of this comment is to call to the attention of DSR readers a basic fact. The introduction of noncommutative structures in problems like the one addressed in [1] is not nece…
First Order Actions and Duality
Alejandro Gaona, J. Antonio Garcia
We consider some aspects of classical S-duality transformations in first order actions taken into account the general covariance of the Dirac algorithm and the transformation prope…
M, Membranes, and OM
J. Antonio Garcia, Alberto Guijosa, J. David Vergara
We examine the extent to which the action for the membrane of M-theory (the eleven-dimensional construct which underlies and unifies all of the known string theories) simplifies in…