A Solvable Deformation of Quantum Mechanics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Grassi, A., Mariño, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210050
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Solvable Deformation of Quantum Mechanics / A. Grassi, M. Mariño // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 111 назв. — англ.

The conventional Hamiltonian H=p²+VN(x), where the potential VN(x) is a polynomial of degree N, has been studied intensively since the birth of quantum mechanics. In some cases, its spectrum can be determined by combining the WKB method with resummation techniques. In this paper, we point out that t...