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13 papers · 2 filters
On the spectra of Pisot-cyclotomic numbers
Kevin G. Hare, Zuzana Masáková, Tomáš Vávra
We investigate the complex spectra \[ X^{\mathcal A}(β)=\left\{\sum_{j=0}^na_jβ^j : n\in{\mathbb N},\ a_j\in{\mathcal A}\right\} \] where is a quadratic or cubic Pisot-cyclotom…
Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras
J. Fuksa, A. P. Isaev, D. Karakhanyan +1
Yang-Baxter relations symmetric with respect to the ortho-symplectic superalgebras are studied. We start from the formulation of graded algebras and the linear superspace carrying…
The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field
Pavel Stovicek
A non-relativistic quantum model is considered with a point particle carrying a charge and moving on the plane pierced by two infinitesimally thin Aharonov-Bohm solenoids and s…
Classical field theories from Hamiltonian constraint: Local symmetries and static gauge fields
Vaclav Zatloukal
We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum m…
Comment on "Generalized Shannon--Khinchin axioms and uniqueness theorem for pseudo-additive entropies" [Physica A 411 (2014) 138]
Petr Jizba, Jan Korbel
Recently in [Physica A 411 (2014) 138] Ilić and Stanković have suggested that there may be problem for the class of hybrid entropies introduced in [P.~Jizba and T.~Arimitsu, Physic…
Cantor spectra of magnetic chain graphs
Pavel Exner, Daniel Vasata
We demonstrate a one-dimensional magnetic system can exhibit a Cantor-type spectrum using an example of a chain graph with coupling at the vertices exposed to a magnetic field…