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12 papers · 2 filters
Spectral rigidity of vehicular streams (Random Matrix Theory approach)
Milan Krbalek, Petr Seba
Using the methods originally developed for Random Matrix Theory we derive an exact mathematical formula for number variance (introduced in [4]) describing a rigidity of particle en…
Hopf algebras and the combinatorics of connected graphs in quantum field theory
Angela Mestre, Robert Oeckl
In this talk, we are concerned with the formulation and understanding of the combinatorics of time-ordered n-point functions in terms of the Hopf algebra of field operators. Mathem…
All solvable extensions of a class of nilpotent Lie algebras of dimension n and degree of nilpotency n-1
Libor Snobl, Pavel Winternitz
We construct all solvable Lie algebras with a specific n-dimensional nilradical n_(n,2) (of degree of nilpotency (n-1) and with an (n-2)-dimensional maximal Abelian ideal). We find…
On the spectrum of a bent chain graph
Pierre Duclos, Pavel Exner, Ondrej Turek
We study Schrödinger operators on an infinite quantum graph of a chain form which consists of identical rings connected at the touching points by -couplings with a parameter $α\…
Resonances in Models of Spin Dependent Point Interactions
Claudio Cacciapuoti, Raffaele Carlone, Rodolfo Figari
In dimension we define a family of two-channel Hamiltonians obtained as point perturbations of the generator of the free decoupled dynamics. Within the family we choose t…
New Formula for the Eigenvectors of the Gaudin Model in the sl(3) Case
C. Burdik, O. Navratil
We propose new formulas for eigenvectors of the Gaudin model in the $\sl(3)$ case. The central point of the construction is the explicit form of some operator P, which is used for…