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arXiv · 1506.03052

Self-Adjointness of Deformed Unbounded Operators

Albert Much
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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.

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Albert Much. 2015-06-09. Self-Adjointness of Deformed Unbounded Operators. https://doi.org/10.1063/1.4929662

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