On a Resolution of the Identity in Terms of Coherent States
Quantum Physics
2007-05-23 v1
Abstract
Transformations of coherent states of the free particle by bounded and semibounded symmetry operators are considered. Resolution of the identity operator in terms of the transformed states is analyzed. A generalized identity resolution is formulated. Darboux transformation operators are analyzed as operators defined in a Hilbert space. Coherent states of multisoliton potentials are studied.
Keywords
Cite
@article{arxiv.quant-ph/9805051,
title = {On a Resolution of the Identity in Terms of Coherent States},
author = {Boris F. Samsonov},
journal= {arXiv preprint arXiv:quant-ph/9805051},
year = {2007}
}