125 citations · 1k across the 46 of their papers we have counts for
9 papers · 1 filter
Multiple-Order Tensor Field Theory: Enumeration of unitary invariant observables
Joseph Ben Geloun, Arnauld Solente
In Tensor Field Theory (TFT), observables are defined through tensor field contractions that produce unitary invariants for complex-valued tensor fields. Traditionally, these obser…
On the counting of tensor invariants
Remi C. Avohou, Joseph Ben Geloun, Nicolas Dub
invariants are the observables of real tensor models. We use regular colored graphs to represent these invariants, the valence of the vertices of the graphs relates to the t…
On an ordering-dependent generalization of Tutte polynomial
Joseph Ben Geloun, Francesco Caravelli
A generalization of Tutte polynomial involved in the evaluation of the moments of the integrated geometric Brownian in the Ito formalism is discussed. The new combinatorial invaria…
Enhanced quantization on the circle
Joseph Ben Geloun, John R. Klauder
We apply the quantization scheme introduced in [arXiv:1204.2870] to a particle on a circle. We find that the quantum action functional restricted to appropriate coherent states can…
Coherent states for continuous spectrum operators with non-normalizable fiducial states
Joseph Ben Geloun, Jeff Hnybida, John R. Klauder
The problem of building coherent states from non-normalizable fiducial states is considered. We propose a way of constructing such coherent states by regularizing the divergence of…
Deepening the vector coherent state analysis: Revisiting the harmonic oscillator
I. Aremua, J. Ben Geloun, M. N. Hounkonnou
Vector coherent states (VCS) viewed as a generalization of ordinary coherent states for higher rank tensor Hilbert spaces are investigated. We consider a systematic way of generati…