Branched Quantization
Quantum Physics
2013-05-30 v2 Other Condensed Matter
High Energy Physics - Theory
Abstract
We propose a method for quantization of Lagrangians for which the Hamiltonian, as a function of momentum, is a branched function with cusps. Appropriate boundary conditions, which we identify, insure unitary time evolution. In special cases a dual (canonical) transformation maps the problem into a problem of quantum mechanics on singular spatial manifolds, which we also develop. Several possible applications are indicated.
Cite
@article{arxiv.1207.2677,
title = {Branched Quantization},
author = {Alfred Shapere and Frank Wilczek},
journal= {arXiv preprint arXiv:1207.2677},
year = {2013}
}
Comments
5 pages, 2 figures. v2: Eqn.(20) corrected, minor typos fixed