Integrable superconductivity and Richardson equations

• Date: 2007
• Main Authors: Belokolos, E. D., Бєлоколос, Є. Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3309
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the integrable generalized model of superconductivity, the solution of the Richardson equations is studied for a model spectrum. For the case of a narrow band, the solution is presented in terms of generalized Laguerre or Jacobi polynomials. In the asymptotic limit, when the Richardson equations...