On the connection between the Schrodinger and the Heisenberg pictures for unbounded operators
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
It is well known that the unboundedness of operators in Hilbert space entails domain troubles. It is also well known that most domain troubles can be surmounted by extending the Hilbert space to a rigged Hilbert space. In this note, we point out another of such troubles, namely the correspondence between the Schrodinger and the Heisenberg pictures for unbounded operators, and sketch the solution of this problem within the rigged Hilbert space.
Keywords
Cite
@article{arxiv.quant-ph/0509074,
title = {On the connection between the Schrodinger and the Heisenberg pictures for unbounded operators},
author = {R. de la Madrid},
journal= {arXiv preprint arXiv:quant-ph/0509074},
year = {2007}
}
Comments
5 pages; contribution to the XXV group theory colloquium, Cocoyoc (Mexico), August 2004