New Generalized Coherent States Arising from Generating Functions: A Novel Approach

We introduce in this paper new kinds of coherent states for some quantum solvable models such as an electron moving in flat surface subject to perpendicular constant and decaying (Morse like) magnetic field. We explain how these states come directly from generating functions of certain families of classical orthogonal polynomials without the complexity of algebraic approaches. It is shown that these states realize resolution of the identity property through some positive-definite measures.