Renormalization in Quantum Mechanics
High Energy Physics - Theory
2009-10-22 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We implement the concept of Wilson renormalization in the context of simple quantum mechanical systems. The attractive inverse square potential leads to a function with a nontrivial ultraviolet stable fixed point and the Hulthen potential exhibits the crossover phenomenon. We also discuss the implementation of the Wilson scheme in the broader context of one dimensional potential problems. The possibility of an analogue of Zamolodchikov's function in these systems is also discussed.
Keywords
Cite
@article{arxiv.hep-th/9305052,
title = {Renormalization in Quantum Mechanics},
author = {K. S. Gupta and S. G. Rajeev},
journal= {arXiv preprint arXiv:hep-th/9305052},
year = {2009}
}
Comments
16 pages, UR-1310, ER-40685-760. (Additional references included.)