Towards a combined fractional mechanics and quantization
Mathematical Physics
2012-06-19 v1 math.MP
Optimization and Control
Abstract
A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for systems containing combined Caputo fractional derivatives. The obtained results provide tools to carry out the quantization of nonconservative problems through combined fractional canonical equations of Hamilton type.
Cite
@article{arxiv.1206.0864,
title = {Towards a combined fractional mechanics and quantization},
author = {Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1206.0864},
year = {2012}
}
Comments
This is a preprint of a paper whose final and definite form will be published in: Fract. Calc. Appl. Anal., Vol. 15, No 3 (2012). Submitted 21-Feb-2012; revised 29-May-2012; accepted 03-June-2012