3 papers
math.RA2017
Symbolic estimation of distances between eigenvalues of Hermitian operator and unitary orbits classification
Ilia Lomidze, Natela Chachava
We use symbolic expressions for traces of positive integer powers of a Hermitian operator (or, equivalently, coefficients of corresponding characteristic polynomial) to find soluti…
math.CA2016
Symbolic estimation of distances between eigenvalues of Hermitian operator
Ilia Lomidze, Natela Chachava
We find out a method for symbolic estimation of a minimal (maximal) distance between eigenvalues of a Hermitian matrix (or roots of a polynomial with real (maybe degenerated) roots…
cond-mat.str-el2008
Effective Hamiltonian for a half-filled tetramerized ionic-Hubbard chain
M. Menteshashvili, N. Chachava, G. I. Japaridze
We derive an effective spin Hamiltonian for the one-dimensional half-filled tetramerized ionic-Hubbard model in the limit of strong on-site repulsion. We show that the effective Ha…