48 citations · 101 across the 6 of their papers we have counts for
4 papers · 1 filter
Counting the exponents of single transfer matrices
Luca Guido Molinari, Giuseppe Lacagnina
The eigenvalue equation of a band or a block tridiagonal matrix, the tight binding model for a crystal, a molecule, or a particle in a lattice with random potential or hopping ampl…
Spectral Curves and Localization in Random Non-Hermitian Tridiagonal Matrices
L. G. Molinari, G. N. Lacagnina
Eigenvalues and eigenvectors of non-Hermitian tridiagonal periodic random matrices are studied by means of the Hatano-Nelson deformation. The deformed spectrum is annular-shaped, w…
Non-Hermitian spectra and Anderson localization
Luca Guido Molinari
The spectrum of exponents of the transfer matrix provides the localization lengths of Anderson's model for a particle in a lattice with disordered potential. I show that a duality…
Another proof of Gell-Mann and Low's theorem
Luca Guido Molinari
The theorem by Gell-Mann and Low is a cornerstone in QFT and zero-temperature many-body theory. The standard proof is based on Dyson's time-ordered expansion of the propagator; a p…