Laguerre polynomials famously describe the radial part of the solution of the Schrödinger equation for hydrogen-like atoms. In 1926, Erwin Schrödinger (right, with Werner Heisenberg and Paul Dirac, ...
Orthogonal polynomials have long played a pivotal role in quantum mechanics, offering a robust analytic framework to address exactly solvable models. Their applications range from providing explicit ...