Connection factors in the Schrodinger equation with a polynomial potential

[摘要] Given a second order differential equation with two singular points, namely the origin and infinity, the connection factors allow to split a power series solution into formal solutions with known asymptotic behavior. A procedure is suggested to obtain those factors, as quotients of Wronskians of the mentioned solutions, in the case of a Schrodinger equation with a polynomial potential. Application of the procedure to particular cases, whose connection factors are already known, allows us to obtain new relations for quotients and products of gamma functions. (C) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2007-10-15

[效力级别]  Proceedings Paper

[关键词] Schrodinger equation;Heun equations;connection factors;gamma functions