Algorithm for generating new explicitly solvable Schrodinger type equations

TL;DR

This paper introduces an algorithm that systematically generates new Schrödinger-type equations that are explicitly solvable using orthogonal polynomials or special functions, expanding the toolkit for solving quantum mechanical problems.

Contribution

The paper presents a novel algorithm for constructing explicitly solvable Schrödinger equations based on orthogonal polynomials and special functions.

Findings

New class of solvable Schrödinger equations generated

Explicit solutions expressed in terms of orthogonal polynomials

Algorithm broadens solvable models in quantum mechanics

Abstract

In this note we present an algorithm to generate new Schr\" odinger type equations explicitly solvable in terms of orthogonal polynomials or associated special functions.