Dimensional enhancement of kinetic energies
Quantum Physics
2009-11-07 v1
Abstract
Simple thermodynamics considers kinetic energy to be an extensive variable which is proportional to the number, N, of particles. We present a quantum state of N non-interacting particles for which the kinetic energy increases quadratically with N. This enhancement effect is tied to the quantum centrifugal potential whose strength is quadratic in the number of dimensions of configuration space.
Cite
@article{arxiv.quant-ph/0203063,
title = {Dimensional enhancement of kinetic energies},
author = {W. P. Schleich and J. P. Dahl},
journal= {arXiv preprint arXiv:quant-ph/0203063},
year = {2009}
}
Comments
9 pages, accepted by Phys. Rev. A