A new nonHermitian E2quasiexactly solvable model
Abstract
We construct a previously unknown $E_2$quasiexactly solvable nonHermitian model whose eigenfunctions involve weakly orthogonal polynomials obeying threeterm recurrence relations that factorize beyond the quantization level. The model becomes Hermitian when one of its two parameters is fixed to a specific value. We analyze the double scaling limit of this model leading to the complex Mathieu equation. The norms, Stieltjes measures and moment functionals are evaluated for some concrete values of one of the two parameters.
 Publication:

arXiv eprints
 Pub Date:
 December 2014
 arXiv:
 arXiv:1412.2800
 Bibcode:
 2014arXiv1412.2800F
 Keywords:

 Quantum Physics;
 Mathematical Physics
 EPrint:
 8 pages