Excitation dynamics of multilevel quantum systems connected with polynomials which have weight roots within orthogonality interval
Savva V.A., Mazurenko A.S.
The dynamics of two families of equidistant quantum systems in laser field has been investigated. The Szego-Jacobi and Christoffel-Legendre of the fourth degree orthogonal polynomials have been constructed for this purpose. One-parameter subfamilies of the quantum systems corresponding by the polynomials have been considered in detail when weights of the polynomials have roots within orthogonality interval. An influence of position of roots and their power on the dipole moment function of the quantum systems has been ivestigated.