4 papers
Factorization for the matrix-valued general Jacobi system on the full-line lattice
Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou +2
The Jacobi system with matrix-valued coefficients and with the spectral parameter depending on a matrix-valued weight factor is considered on the full-line lattice. The scattering…
Changing the discrete spectrum of the half-line matrix Schrödinger operator
Tuncay Aktosun, Ricardo Weder
We consider the matrix-valued Schrödinger operator on the half line with the general selfadjoint boundary condition. When the discrete spectrum is changed without changing the cont…
The transformations to remove or add bound states for the half-line matrix Schrödinger operator
Tuncay Aktosun, Ricardo Weder
We present the transformations to remove or add bound states or to decrease or increase the multiplicities of any existing bound states for the half-line matrix-valued Schrödinger…
Membrane-in-the-middle optomechanical system and structural frequencies
Luis Pedro Lara, Ricardo Weder, Luis Octavio Castaños-Cervantes
We consider a one-dimensional membrane-in-the-middle model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constan…