TY - JOUR AU - Gómez-Ullate Otaiza, David AU - Grandati, Yves AU - Milson, Robert PY - 2014 DO - 10.1088/1751-8113/47/1/015203 SN - 1751-8113 UR - https://hdl.handle.net/20.500.14352/34707 T2 - Journal of physics A: Mathematical and theoretical AB - We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic... LA - eng PB - IOP Publishing Ltd KW - Shape-invariant potentials KW - Quasi-exact solvability KW - Orthogonal polynomials KW - Darboux transformations KW - Laguerre-polynomials KW - Mechanics KW - Equation KW - Formula TI - Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials TY - journal article VL - 47 ER -