TY - JOUR AU - Gómez-Ullate Otaiza, David AU - Grandati, Yves AU - Milson, Robert PY - 2014 DO - 10.1063/1.4871443 SN - 0022-2488 UR - https://hdl.handle.net/20.500.14352/34706 T2 - Journal of mathematical physics AB - Considering successive extensions of primary translationally shape invariant potentials, we enlarge the Krein-Adler theorem to mixed chains of state adding and state-deleting Darboux-Backlund transformations. It allows us to establish novel bi-linear... LA - eng PB - American Institute of Physics KW - Exactly solvable potentials KW - Exceptional orthogonal polynomials KW - X-L Laguerre KW - Darboux transformations KW - Quantum-mechanics KW - Schrodinger-equation KW - Rational extensions KW - Supersymmetry KW - Factorization KW - Operators TI - Extended Krein-Adler theorem for the translationally shape invariant potentials TY - journal article VL - 55 ER -