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arXiv · 1311.6351

Self-adjointness and boundedness in quadratic quantization

Ameur Dhahri
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Abstract

We construct a counter example showing, for the quadratic quantization, the identity $(Γ(T))^*= Γ(T^*)$ is not necessarily true. We characterize all operators on the one-particle algebra whose quadratic quantization are self-adjoint operators on the quadratic Fock space. Finally, we discuss the boundedness of the quadratic quantization.

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Ameur Dhahri. 2013-11-25. Self-adjointness and boundedness in quadratic quantization. https://doi.org/10.1063/1.4878497

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