1 citations · 1 across the 2 of their papers we have counts for
5 papers
Ultracoherence and Canonical Transformations
Joachim Kupsch, Subhashish Banerjee
The (in)finite dimensional symplectic group of homogeneous canonical transformations is represented on the bosonic Fock space by the action of the group on the ultracoherent vector…
Superselection rules induced by infrared divergence
Joachim Kupsch
Superselection rules induced by the interaction with a mass zero Boson field are investigated for a class of exactly soluble Hamiltonian models. The calculations apply as well to d…
Exactly soluble models of decoherence
Joachim Kupsch
Superselection rules induced by the interaction with the environment are a basis to understand the emergence of classical observables within quantum theory. The aim of this article…
Hilbert norms for graded algebras
Joachim Kupsch, Oleg G. Smolyanov
This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on so…
Functional Representations for Fock Superalgebras
Joachim Kupsch, Oleg G. Smolyanov
The Fock space of bosons and fermions and its underlying superalgebra are represented by algebras of functions on a superspace. We define Gaussian integration on infinite dimension…