Unintended consequences of imprecise Notation -- an example from mechanics
Classical Physics
2015-06-11 v1
Abstract
We present a conundrum that results from the imprecise use of notation for partial derivatives. Taking an example from mechanics, we show that lack of proper care in representing partial derivatives in Lagrangian and Hamiltonian formulations paradoxically leads to two different values for the time derivative of the canonical momentum. This problem also exists in other areas of physics, such as thermodynamics.
Keywords
Cite
@article{arxiv.1210.7345,
title = {Unintended consequences of imprecise Notation -- an example from mechanics},
author = {Asim Gangopadhyaya and Gordon Ramsey},
journal= {arXiv preprint arXiv:1210.7345},
year = {2015}
}