Fundamental studies of vibrational resonance phenomena by multivalued resummation of the divergent Rayleigh–Schrödinger perturbation theory series: deciphering polyad structures of three H₂¹⁶O isotopologues

Abstract

A fundamental quantitative study of the vibrational resonances of three H216O isotopologues with quartic Watson Hamiltonian was carried out using resummation of the high-order (∼λn, n≤203) divergent Rayleigh-Schrödinger perturbation theory...

Scalar Equilibrium Problem and the Limit Distribution of Zeros of Hermite-Padé Polynomials of Type II

“…Notice that it follows directly from [40], [41], [7], [39], [18], [8] that the most interesting object in PA theory is the class of multivalued analytic functions with a finite number of singular points, in particular, the class of algebraic functions. This class is just the main object 1 of Stahl's Theory.…”