Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2018
• Автор: Novokshenov, V.Yu.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2018
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/209851
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators / V.Yu. Novokshenov // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 28 назв. — англ.

The paper gives a review of recent progress in the classification of monodromy-free Schrödinger operators with rational potentials. We concentrate on a class of potentials constituted by generalized Hermite polynomials. These polynomials, defined as Wronskians of classic Hermite polynomials, appear...