We construct a counter example showing, for the quadratic quantization, the identity (Gamma(T))* = Gamma(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. (c) 2014 AIP Publishing LLC.
Self-adjointness and boundedness in quadratic quantization
Ameur Dhahri
2014-01-01
Abstract
We construct a counter example showing, for the quadratic quantization, the identity (Gamma(T))* = Gamma(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. (c) 2014 AIP Publishing LLC.File in questo prodotto:
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