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10 papers · 1 filter
Evolutionary equations and constraints: Maxwell equations
Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo +1
By fixing a reference frame in spacetime, it is possible to split the Euler-Lagrange equations associated with a degenerate Lagrangian into purely evolutionary equations and constr…
Circulant matrices with orthogonal rows and off-diagonal entries of absolute value
Daniel Uzcátegui Contreras, Dardo Goyeneche, Ondřej Turek +1
It is known that a real symmetric circulant matrix with diagonal entries , off-diagonal entries and orthogonal rows exists only of order (and trivially of ord…
From Classical Trajectories to Quantum Commutation Relations
Florio M. Ciaglia, Giuseppe Marmo, Luca Schiavone
In describing a dynamical system, the greatest part of the work for a theoretician is to translate experimental data into differential equations. It is desirable for such different…
Nonlinear Dynamics from Linear Quantum Evolutions
Florio M. Ciaglia, Fabio Di Cosmo, Armando Figueroa +5
Linear dynamics restricted to invariant submanifolds generally gives rise to nonlinear dynamics. Submanifolds in the quantum framework may emerge for several reasons: one could be…
Commutative Lie algebras and commutative cohomology in characteristic
Viktor Lopatkin, Pasha Zusmanovich
We discuss a version of the Chevalley--Eilenberg cohomology in characteristic , where the alternating cochains are replaced by symmetric ones.
Eigenvalue bound for Schroedinger operators with unbounded magnetic field
Diana Barseghyan, Baruch Schneider
In this paper we consider magnetic Schroedinger operators on the two-dimensional unit disk with a radially symmetric magnetic field which explodes to infinity at the boundary. We p…