369 citations
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4 papers · 1 filter
Enhancing non-melonic triangulations: A tensor model mixing melonic and planar maps
Valentin Bonzom, Thibault Delepouve, Vincent Rivasseau
Ordinary tensor models of rank are dominated at large by tree-like graphs, known as melonic triangulations. We here show that non-melonic contributions can be enhance…
From Quantum Mechanics to Quantum Field Theory: The Hopf route
Allan I. Solomon, Gérard Henry Edmond Duchamp, Pawel Blasiak +2
We show that the combinatorial numbers known as {\em Bell numbers} are generic in quantum physics. This is because they arise in the procedure known as {\em Normal ordering} of bos…
Quasiclassical Asymptotics and Coherent States for Bounded Discrete Spectra
K. Gorska, K. A. Penson, A. Horzela +3
We consider discrete spectra of bound states for non-relativistic motion in attractive potentials V_σ(x) = -|V_{0}| |x|^{-σ}, 0 < σ\leq 2. For these potentials the quasiclassical a…
Combinatorial Algebra for second-quantized Quantum Theory
P. Blasiak, G. H. E. Duchamp, A. I. Solomon +2
We describe an algebra G of diagrams which faithfully gives a diagrammatic representation of the structures of both the Heisenberg-Weyl algebra H - the associative algebra of the c…