Add to ORKGWe prove many new results about interacting Fock spaces. We pose many open problems; for most of them we prove that their solutions have no choice but being nontrivial. We ask the kind reader to consult the extended abstract in the paper.Comment: 54 pages. Revised version, to appear in IDAQP 23, 202
We extend the $C^*$-algebraic approach to interacting quantum field theory, proposed recently by Det...
Quantum states of systems made of many identical particles, e.g. those described by Fermi-Hubbard an...
The ergodic properties of the shift on both full and $m$-truncated $t$-free $C^*$-algebras are analy...
We present several examples where moments of creators and annihilators on an {\it interacting Fock s...
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The recent discoveries of new forms of quantum statistics require a close look at the under-lying Fo...
Quantum states of systems made of many identical particles, e.g. those described by Fermi–Hubbard a...
We extend the $C^*$-algebraic approach to interacting quantum field theory, proposed recently by Det...
Quantum states of systems made of many identical particles, e.g. those described by Fermi-Hubbard an...
The ergodic properties of the shift on both full and $m$-truncated $t$-free $C^*$-algebras are analy...
We present several examples where moments of creators and annihilators on an {\it interacting Fock s...
Abstract. We present several examples where moments of creators and an-nihilators on an interacting ...
We discuss the notion of spectral synthesis for the setting of Quantum Harmonic Analysis. Using thes...
These notes are intended as a fairly self contained explanation of Fock space and various algebras t...
We make a progress towards describing the semi-commutants of Toeplitz operators on Fock-Sobolev spac...
In this thesis we study Toeplitz operators on spaces of holomorphic and pluriharmonic functions. The...
We introduce and study two-parameter subproduct and product systems of $C^*$-algebras as the operato...
We present the notion of projective independence, which abstracts, in an algebraic setting, the fac...
We study and discuss the extension of the rotating-wave spin$\unicode{x2013}$boson model, together w...
AbstractThe (q,t)-Fock space Fq,t(H), introduced in this paper, is a deformation of the q-Fock space...
The recent discoveries of new forms of quantum statistics require a close look at the under-lying Fo...
Quantum states of systems made of many identical particles, e.g. those described by Fermi–Hubbard a...
We extend the $C^*$-algebraic approach to interacting quantum field theory, proposed recently by Det...
Quantum states of systems made of many identical particles, e.g. those described by Fermi-Hubbard an...
The ergodic properties of the shift on both full and $m$-truncated $t$-free $C^*$-algebras are analy...