Self-Adjointness of Deformed Unbounded Operators
arXiv:1506.03052 · doi:10.1063/1.4929662
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.
arXiv admin note: text overlap with arXiv:1307.2609
References in corpus (5)
- Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
- Wedge-Local Quantum Fields and Noncommutative Minkowski Space
- Deformations of Fermionic Quantum Field Theories and Integrable Models
- Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime
- Relativistic Corrections to the Moyal-Weyl Spacetime