Renormalization Group Transformation for the Wave Function
High Energy Physics - Theory
2009-10-30 v2 Mesoscale and Nanoscale Physics
Quantum Physics
Abstract
The problem considered here is the determination of the hamiltonian of a first quantized nonrelativistic particle by the help of some measurements of the location with a finite resolution. The resulting hamiltonian depends on the resolution of the measuring device. This dependence is reproduced by the help of a blocking transformation on the wave function. The systems with quadratic hamiltonian are studied in details. The representation of the renormalization group in the space of observables is identified.
Cite
@article{arxiv.hep-th/9711061,
title = {Renormalization Group Transformation for the Wave Function},
author = {Hanae El Hattab and Janos Polonyi},
journal= {arXiv preprint arXiv:hep-th/9711061},
year = {2009}
}
Comments
Final version to appear in Ann. Phys