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7 papers · 1 filter
Tridiagonal Symmetries of Models of Nonequilibrium Physics
Boyka Aneva
We study the boundary symmetries of models of nonequilibrium physics where the steady state behaviour strongly depends on the boundary rates. Within the matrix product state approa…
From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation
B. Aneva, M. Chaichian, P. P. Kulish
Within the quantum affine algebra representation theory we construct linear covariant operators that generate the Askey-Wilson algebra. It has the property of a coideal subalgebra,…
Description of all conformally invariant differential operators, acting on scalar functions
Petko Nikolov, Tihomir Valchev
We give an algorithm to write down all conformally invariant differential operators acting between scalar functions on Minkowski space. All operators of order k are nonlinear and a…
Generalized Doppler effect in spaces with a transport along paths
Bozhidar Z. Iliev
An analog of the classical Doppler effect is investigated in spaces (manifolds) whose tangent bundle is endowed with a transport along paths, which, in particular, can be parallel…
Relative mechanical quantities in spaces with a transport along paths
Bozhidar Z. Iliev
The concepts of relative velocity and acceleration, deviation velocity and acceleration and relative momentum of point particles in spaces (manifolds), the tangent bundle of which…
First order deviation equations in spaces with a transport along paths
Bozhidar Z. Iliev
In a coordinate free form are found the (deviation) equations satisfied by the (infinitesimal) deviation vector, relative velocity, relative momentum, relative acceleration and rel…