Duality between the coordinates and wave functions on noncommutative space
High Energy Physics - Theory
2009-11-10 v2
Abstract
The relation between coordinates and the solutions of the stationary Schrodinger equation in the noncommutative algebra of functions on is discussed. We derive this relation for a certain class of wave functions for which the quantum prepotentials depend linearly on the coordinates similarly to the commutative case. Also, the differential equation satisfied by the prepotentials is given.
Cite
@article{arxiv.hep-th/0309214,
title = {Duality between the coordinates and wave functions on noncommutative space},
author = {Ion V. Vancea},
journal= {arXiv preprint arXiv:hep-th/0309214},
year = {2009}
}
Comments
Reference added. 8 pages, LATeX file