Quantum derivatives and second differential quantum operators
Samah Horrigue, Habib Ouerdiane · AIP conference proceedings · 2012
In this paper, we introduce new spaces of entire functions in multivariable infinite dimensional with certain exponential growth rates determined by Young functions. These entire functions characterize, via the Kernel theorem, the symbols of Quantum Fock space operators. Then, we define the Quantum annihilation and Quantum creation derivatives. So, we prove that every Quantum operators have an integral representation.