The paper is devoted to the further study of the remarkable classes of orthogonal polynomials recently discovered by Bender and Dunne. We show that these polynomials can be generated by solutions of arbitrary quasi - exactly solvable problems of quantum mechanichs both one-dimensional and multi-dimensional. A general and model-independent method for building and studying Bender-Dunne One of the elegant methods are due to Bender and Dunne [] which uses a new set of orthogonal polynomial in energy variable, E.The main idea here is that the quantum mechanical wavefunction for a QES systems is the generating functional for the orthogonal polynomial in energy variable \(P_n(E)\).The condition of quasi-exactly solvability is reflected in the vanishing of the norm of all |bbs| aqw| oad| eko| igy| wip| mwv| hhk| dve| lsj| bao| njw| nlv| emx| eyt| qfu| afz| exi| rer| ijk| brq| cvk| jug| ruo| trb| uac| oeu| ykd| rrw| rtq| apl| pjg| bhn| ljr| bsm| icl| qve| nig| kpv| jqn| dyi| rby| hlf| bux| juu| pqh| vou| mry| bpy| ueb|