Structure Variation Hyper Arithmetical Sort Operators and Applications

Abstract

Most of the better-known precisely resolvable Schrödinger equations are directly associated with these operators and every arithmetical kind equation defines either a finite or Associate in Nursing infinite system of orthogonal polynomials. Its attainable that everyone these operators are often studied along in an exceedingly unified mathematical formalism The corresponding associated special functions are Eigen functions of some form invariant operators, and most of the formula occurring during this study of precisely resolvable quantum systems follow from tiny low range of elementary mathematical results. The systematic study recovers better-known ends up in a natural unified manner, and permits one to increase ways and results better-known specially cases.

Keywords: arithmetical, equation, orthogonal polynomials, precisely resolvable quantum systems