Bosonic kernels

2012/04/17 by Robinson, P. L.
#46E22 #47B34 #81S05 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1204.3693

Abstract

We show that the bosonic Fock representation of a complex Hilbert space admits a purely algebraic kernel calculus; as an illustration, we use it to reproduce the standard integral kernel formulae for metaplectic operators within the complex-wave representation.

Related

• The bosonic Fock representation and a generalized Shale theorem
• Functional Representations for Fock Superalgebras
• Integral operators induced by the Fock kernel
• Generalized q-Fock spaces and structural identities
• Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations