Luca Guido Molinari - Università di Milano #
Identities and inequalities for Transfer Matrices #
General properties are presented for transfer matrices
originating from the eigenvalue equation of Hamiltonian matrices
with band structure (for example: tight binding model for crystals,
Anderson model for localization). Their eigenvalues are linked by
a spectral identity. A general statement by Demko, Moss and Smith
on the exponential decay of matrix elements of the inverse of a
band matrix, translates into statements on the matrix elements
and singular values of transfer matrices.