Self-Adjointness of Deformed Unbounded Operators
Mathematical Physics
2016-01-18 v3 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
We consider deformations of unbounded operators by using the novel construction tool of warped convolutions. By using the Kato-Rellich theorem we show that unbounded self-adjoint deformed operators are self-adjoint if they satisfy a certain condition. This condition proves itself to be necessary for the oscillatory integral to be well-defined. Moreover, different proofs are given for self-adjointness of deformed unbounded operators in the context of quantum mechanics and quantum field theory.
Cite
@article{arxiv.1506.03052,
title = {Self-Adjointness of Deformed Unbounded Operators},
author = {Albert Much},
journal= {arXiv preprint arXiv:1506.03052},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1307.2609