DOI10.1088/1751-8113/43/43/434016zbMath1202.81036arXiv1002.2666OpenAlexW3101113309MaRDI QIDQ3057429
Robert Milson, Niky Kamran, Daivd Gómez-Ullate
Publication date: 24 November 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.2666
Unified supersymmetric transformations for the harmonic oscillator and its rational extension,
Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials,
Group theoretic approach to rationally extended shape invariant potentials,
Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials,
Multi-particle dynamical systems and polynomials,
Parametric symmetries in exactly solvable real and PT symmetric complex potentials,
RATIONALLY-EXTENDED RADIAL OSCILLATORS AND LAGUERRE EXCEPTIONAL ORTHOGONAL POLYNOMIALS IN kTH-ORDER SUSYQM,
REVISITING (QUASI-)EXACTLY SOLVABLE RATIONAL EXTENSIONS OF THE MORSE POTENTIAL,
Supersymmetry and shape invariance of exceptional orthogonal polynomials,
Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability,
A conjecture on exceptional orthogonal polynomials,
A class of exactly solvable rationally extended non-central potentials in two and three dimensions,
A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems,
A Bochner type characterization theorem for exceptional orthogonal polynomials,
The single-indexed exceptional Krawtchouk polynomials,
Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems,
The Black-Scholes equation in finance: quantum mechanical approaches,
Rationally extended many-body truncated Calogero-Sutherland model,
A class of exactly solvable real and complex PT symmetric reflectionless potentials,
Rationally extended harmonic oscillator potential, isospectral family and the uncertainty relations,
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions,
Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials,
The spectral analysis of three families of exceptional Laguerre polynomials,
General solution of the exceptional Hermite differential equation and its minimal surface representation,
Two-step Darboux transformations and exceptional Laguerre polynomials,
Zeros of the exceptional Laguerre and Jacobi polynomials,
A spectral study of the second-order exceptional \(X_1\)-Jacobi differential expression and a related non-classical Jacobi differential expression,
Exceptional Bannai-Ito polynomials,
Exceptional Charlier and Hermite orthogonal polynomials,
A discrete and q asymptotic iteration method,
Admissibility condition for exceptional Laguerre polynomials,
Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras,
Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation,
New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials,
Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials,
The exceptional Bessel polynomials,
Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials,
Recurrence relations of the multi-indexed orthogonal polynomials,
Extending Romanovski polynomials in quantum mechanics,
Comments on the generalized SUSY QM partnership for Darboux-Pöschl-Teller potential and exceptional Jacobi polynomials,
Equivalences of the multi-indexed orthogonal polynomials,
Propagators of isochronous an-harmonic oscillators and Mehler formula for the exceptional Hermite polynomials,
Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials,
Extended Krein-Adler theorem for the translationally shape invariant potentials,
Solvable rational extensions of the isotonic oscillator,
Moment representations of exceptional \(X_{1}\) orthogonal polynomials,
Exceptional Meixner and Laguerre orthogonal polynomials,
Multistep DBT and regular rational extensions of the isotonic oscillator,
Recurrence relations of the multi-indexed orthogonal polynomials. III,
Exceptional Hahn and Jacobi orthogonal polynomials,
The scattering amplitude for rationally extended shape invariant Eckart potentials,
Solvable potentials with exceptional orthogonal polynomials,
Trends in Supersymmetric Quantum Mechanics,
Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”,
Higher-order Darboux transformations for the massless Dirac equation at zero energy,
One parameter family of rationally extended isospectral potentials,
Spectral theory of exceptional Hermite polynomials,
Generalized quantum nonlinear oscillators: Exact solutions and rational extensions,
Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators,
A new recurrence formula for generic exceptional orthogonal polynomials,
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials,
Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials,
Solvable rational extensions of the Morse and Kepler-Coulomb potentials,
Recurrence relations of the multi-indexed orthogonal polynomials. II,
HIGHER-ORDER SUSY, EXACTLY SOLVABLE POTENTIALS, AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS,
The electrostatic properties of zeros of exceptional Laguerre and Jacobi polynomials and stable interpolation,
Information entropy of conditionally exactly solvable potentials,
The scattering amplitude for one parameter family of shape invariant potentials related to \(X_m\) Jacobi polynomials,
COHERENT STATE OF THE EXTENDED SCARF I POTENTIAL AND SOME OF ITS PROPERTIES,
GENERALIZED RAYLEIGH AND JACOBI PROCESSES AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS,
Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties